List of numbers - Citizendia

This is a list of articles about numbers (not about numerals). A number is an Abstract object, tokens of which are Symbols used in Counting and measuring.

1 Rational numbers
2 Irrational numbers
3 Hypercomplex numbers
- 3.1 Algebraic complex numbers
- 3.2 Other hypercomplex numbers
4 Transfinite numbers
5 Numbers representing measured quantities
6 Numbers without specific values
7 Bases
8 See also
9 Further reading
10 External links

Rational numbers

Notable rational numbers

Natural numbers

0	1	2	3	4	5	6	7	8	9
10	11	12	13	14	15	16	17	18	19
20	21	22	23	24	25	26	27	28	29
30	31	32	33	34	35	36	37	38	39
40	41	42	43	44	45	46	47	48	49
50	51	52	53	54	55	56	57	58	59
60	61	62	63	64	65	66	67	68	69
70	71	72	73	74	75	76	77	78	79
80	81	82	83	84	85	86	87	88	89
90	91	92	93	94	95	96	97	98	99
100	101	102	103	104	105	106	107	108	109
110	111	112	113	114	115	116	117	118	119
120	121	122	123	124	125	126	127	128	129
130	131	132	133	134	135	136	137	138	139
140	141	142	143	144	145	146	147	148	149
150	151	152	153	154	155	156	157	158	159
160	161	162	163	164	165	166	167	168	169
170	171	172	173	174	175	176	177	178	179
180	181	182	183	184	185	186	187	188	189
190	191	192	193	194	195	196	197	198	199
200	210	220	230	240	250	260	270	280	290
			300	400	500	600	700	800	900
	1000	2000	3000	4000	5000	6000	7000	8000	9000
	10000	20000	30000	40000	50000	60000	70000	80000	90000
100k-1M		1M-10M		10M-100M		100M-1000M		Larger #s

Powers of ten

Main article: Orders of magnitude (numbers)

Integers

Notable integers

Other numbers that are notable for their mathematical properties or cultural meanings include:

-40
-1
211
216
221
222
223
227
228
229
233
235
239
241
242
245
251
255
256
257
263
269
273
277
284
311
313
318
359
360
365
384
418
420
440
444
495
496
501
555
593
616
619
666
679
702
715
720
743
747
786
790
880
881
883
911
999
1001
1024
1089
1138
1458
1701
1728
1729
1987
3600
4104
5040
6174
6236
6346
7744
8128
9999
64079
65535
65536
65537
69105
124000
144000
142857
9814072356

Named integers

A prime number is a positive integer which has exactly two divisors: one and itself. In Mathematics, a rational number is a number which can be expressed as a Ratio of two Integers Non-integer rational numbers (commonly called fractions In Mathematics, a natural number (also called counting number) can mean either an element of the set (the positive Integers or an Mathematics For any number x: x ·1 = 1· x = x (1 is the multiplicative identity In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 ---- In mathematics Three is the first odd Prime number, and the second smallest prime In mathematics Four is the smallest Composite number, its proper Divisors being and. This article discusses the number five. For the year 5 AD see 5. In mathematics Six is the second smallest Composite number, its proper Divisors being 1, 2 and 3. In mathematics Seven is the fourth Prime number. It is not only a Mersenne prime (since 23 &minus 1 = 7 but also a In mathematics 8 is a Composite number, its Proper divisors being 1, 2, and 4. In mathematics Nine is a Composite number, its proper Divisors being 1 and 3. 17 ( seventeen) is the Natural number following 16 and preceding 18. 18 ( eighteen) is the Natural number following 17 and preceding 19. 19 ( nineteen) is the Natural number following 18 and preceding 20. "Twenty" redirects here For the village in England, see Twenty Lincolnshire. 21 ( twenty-one) is the Natural number following 20 and preceding 22. 22 ( twenty-two) is the Natural number following 21 and preceding 23. This article is about the number 23 For the year see 23. For the movies see 23 (film and The Number 23. 24 ( twenty-four) is the Natural number following 23 and preceding 25. 25 ( twenty-five) is the Natural number following 24 and preceding 26. 26 ( twenty-six) is the Natural number following 25 and preceding 27. 27 ( twenty-seven) is the Natural number following 26 and preceding 28. 28 ( twenty-eight) is the Natural number following 27 and preceding 29. 29 ( twenty-nine) is the Natural number following 28 and preceding 30. 30 ( thirty) is the Natural number following 29 and preceding 31. 31 ( thirty-one) is the Natural number following 30 and preceding 32. 32 ( thirty-two) is the Natural number following 31 and preceding 33. 33 ( thirty-three) is the Natural number following 32 and preceding 34. 34 ( thirty-four) is the Natural number following 33 and preceding 35. 35 ( thirty-five) is the Natural number following 34 and preceding 36. 36 ( thirty-six) is the Natural number following 35 and preceding 37. 37 ( thirty-seven) is the Natural number following 36 and preceding 38. This article discusses the number thirty-eight. For the year 38 CE see 38. 39 ( thirty-nine) is the Natural number following 38 and preceding 40. 40 ( forty) is the Natural number following 39 and preceding 41. 41 ( forty-one) is the Natural number following 40 and preceding 42. 42 ( forty-two) is the Natural number following 41 and preceding 43. 43 ( forty-three) is the Natural number following 42 and preceding 44. 44 ( forty-four) is the Natural number following 43 and preceding 45. 45 ( forty-five) is the Natural number following 44 and followed by 46. 46 ( forty-six) is the Natural number following 45 and preceding 47. 47 ( forty-seven) is the Natural number following 46 and preceding 48. 48 ( forty-eight) is the Natural number following 47 and preceding 49. This page is for the number For the steamboat see Forty-Nine (steamboat 49 ( forty-nine) is the Natural number following 48 This article discusses the number fifty. For the year 50 CE see 50. 51 ( fifty-one) is the Natural number 51 following 50 and preceding 52. 52 ( fifty-two) is the Natural number following 51 and preceding 53. 53 ( fifty-three) is the Natural number following 52 and preceding 54. 54 ( fifty-four) is the Natural number following 53 and preceding 55. 55 ( fifty-five) is the Natural number following 54 and preceding 56. 56 ( fifty-six) is the Natural number following 55 and preceding 57. 57 ( fifty-seven) is the Natural number following 56 and preceding 58. 58 ( fifty-eight) is the Natural number following 57 and preceding 59. 59 ( fifty-nine) is the Natural number following 58 and preceding 60. 60 ( sixty) is the Natural number following 59 and preceding 61. 61 ( sixty-one) is the Natural number following 60 and preceding 62. 62 ( sixty-two) is a Natural number following 61 and preceding 63. 63 ( sixty-three) is a Natural number following 62 and preceding 64. 64 ( sixty-four) is the Natural number following 63 and preceding 65. 65 ( sixty-five) is the Natural number following 64 and preceding 66. 66 ( sixty-six) is the Natural number following 65 and preceding 67. 67 ( sixty-seven) is the Natural number following 66 and preceding 68. 68 ( sixty-eight) is the Natural number following 67 and preceding 69 In mathematics Sixty-eight is a Nontotient 69 ( sixty-nine) is a number following 68 and preceding 70. In mathematics sixty-nine is the twentieth distinct Biprime 70 ( seventy) is the Natural number following 69 and preceding 71. 71 ( seventy-one) is the Natural number following 70 and preceding 72. 72 ( seventy-two) is the Natural number following 71 and preceding 73. 73 ( seventy-three) is the Natural number following 72 and preceding 74. 74 ( seventy-four) is the Natural number following 73 and preceding 75. 75 ( seventy-five) is the Natural number following 74 and preceding 76. 76 ( seventy-six) is the Natural number following 75 and preceding 77. 77 ( seventy-seven) is the Natural number following 76 and preceding 78. 78 ( seventy-eight) is the Natural number following 77 and followed by 79. 79 ( seventy-nine) is the Natural number following 78 and preceding 80. 80 ( eighty) is the Natural number following 79 and preceding 81. 81 ( eighty-one) is the Natural number following 80 and preceding 82. 82 ( eighty-two) is the Natural number following 81 and preceding 83. In mathematics Eighty-three is the sum of three consecutive primes (23 + 29 + 31 as well as the sum of five consecutive primes (11 + 13 + 17 + 19 + 23 84 ( eighty-four) is the Natural number following 83 and preceding 85. 85 ( eighty-five) is the Natural number following 84 and preceding 86. 86 ( eighty-six) is the Natural number following 85 and preceding 87. 87 ( eighty-seven) is the Natural number following 86 and preceding 88. 88 ( eighty-eight) is the Natural number following 87 and preceding 89. 89 ( eighty-nine) is the Natural number following 88 and preceding 90. 90 ( ninety) is the Natural number preceded by 89 and followed by 91. 91 ( ninety-one) is the Natural number following 90 and preceding 92. 92 ( ninety-two) is the Natural number following 91 and preceding 93. 93 ( ninety-three) is the Natural number following 92 and preceding 94. 94 ( ninety-four) is the Natural number following 93 and preceding 95. 95 ( ninety-five) is the Natural number following 94 and preceding 96. For the Australian TV series see Number 96 (TV series 96 ( ninety-six) is the Natural number following 95 and preceding 97 97 ( ninety-seven) is the Natural number following 96 and preceding 98. 98 ( ninety-eight) is the Natural number following 97 and preceding 99. 99 ( ninety-nine) is the Natural number following 98 and preceding 100. 170 is the natural number following 169 and preceding 171. In mathematics One hundred seventy is a Sphenic number. 172 (one hundred and seventy-two is the Natural number following 171 and preceding 173. 173 is the natural number between 172 and 174. It is also a Prime number. 175 is the Natural number following 174 and preceding 176. It is a Decagonal number. In mathematics 177 is the Magic constant of a Magic square using only Chen primes \begin{bmatrix} 17 & 89 & 71 \\ 113 & 59 & 5 \\ 47 & 29 179 is the natural number between 178 and 180. It is also a Prime number. 180 ( one hundred eighty in American English, one hundred and eighty in British English) is the natural number following 179 and preceding 181 is the natural number between 180 and 182. In mathematics 181 is a Prime number, and a Twin prime with 179 182 is the natural number between 181 and 183. In mathematics 182 is a Sphenic number, as it is a product of three distinct In mathematics 184 is the sum of four consecutive primes (41 + 43 + 47 + 53 185 (Roman) is the number equal to 37 times 5. It is the natural number between 184 and 186. In other fields 187 is the California Penal Code section that defines Murder. Uses The year 189 190 is the natural number following one hundred [and] eighty-nine and preceding one hundred [and] ninety-one. φ 191 is the natural number between 190 and 192. It is also a Prime number. 192 is the natural number between 191 and 193. In mathematics 192 is the sum of ten consecutive primes (5 + 7 + 11 + 13 + 17 + 193 is the natural number between 192 and 194. It is also a Prime number. 194 is the natural number following 193 and followed by 195. 195 is the natural number following 194 and preceding 196. 196 is a Natural number following 195 and preceding 197. It is the square of 14. 197 is the natural number between 196 and 198. It is also a Prime number. In mathematics 198 is a Self number and an Abundant number. It is also divisible by the sum of its digits and thus a Harshad number. 199 is the Natural number between 198 and 200. It is also a Prime number. 200 ( two hundred) is the Natural number following 199 and preceding 201. 210 is the Natural number following 209 and preceding 211. In mathematics 210 is a Composite number, an Abundant 220 ( two hundred twenty) is the Natural number following 219 and preceding 221. 230 ( two hundred Thirty) is the Natural number following 229 and preceding 231 240 ( two hundred forty) is the Natural number following 239 and preceding 241. 250 is the Natural number following 249 and preceding 251. Other numbers from 251 to 259 Two hundred fifty-one 251 prime 260 (two hundred sixty is the Magic constant of the n × n normal Magic square and n-Queens Problem for n = 8 the size of an 270 is the Natural number following 269 and preceding 271 See also 273 (number 280 is the Natural number after 279 and before 281 In mathematics The denominator of the eighth Harmonic number, 280 is an Octagonal In mathematics The product of three primes 290 is a Sphenic number, and the sum of four consecutive primes (67 + 71 + 73 + 79 This article is about the number 300 as well as the integers which follow it up to 399 400 ( four hundred) is the Natural number following three hundred ninety-nine and preceding four hundred one 500 ( five hundred) is the Natural number following 499 and preceding 501. 600 ( six hundred) is the Natural number following five hundred ninety-nine and preceding six hundred one This article is about the numbers 700 through 799 for each individual number see its section below 800 ( eight hundred) is the Natural number following 799 and preceding 801 900 ( nine hundred) is the Natural number following eight hundred ninety-nine and preceding nine hundred one 2000 ( two thousand) is the Natural number following 1999 and preceding 2001 3000 ( three thousand) is the Natural number following 2999 and preceding 3001 4000 ( four thousand) is the Natural number following 3999 and preceding 4001 5000 ( five thousand) is the Natural number following 4999 and preceding 5001 6000 ( six thousand) is the Natural number following 5999 and preceding 6001 7000 ( seven thousand) is the Natural number following 6999 and preceding 7001 8000 ( eight thousand) is the Natural number following 7999 and preceding 8001 9000 ( nine thousand) is the Natural number following 8999 and preceding 9001 20000 (twenty thousand is the number that comes after 19999 and before 20001 30000 ( thirty thousand) is the number that comes after 29999 and before 30001 40000 ( forty thousand) is the number that comes after 39999 and before 40001 50000 ( fifty thousand) is the number that comes after 49999 and before 50001 60000 ( sixty thousand) is the number that comes after 59999 and before 60001 70000 ( seventy thousand) is the number that comes after 69999 and before 70001 80000 ( eighty thousand) is the number that comes before 79999 and before 80001 90000 ( ninety thousand) is the number that comes after 89999 and before 90001 This list compares various sizes of positive Numbers including counts of things Dimensionless quantity and probabilities. This list compares various sizes of positive Numbers including counts of things Dimensionless quantity and probabilities. The integers (from the Latin integer, literally "untouched" hence "whole" the word entire comes from the same origin but via French Why is &minus1 times &minus1 equal to 1? Why is &minus1 multiplied by &minus1 equal to 1? More generally why is a negative times a negative a positive? There are two ways 211 is the Natural number between 210 and 212. It is also a Prime number. 216 is the Natural number following 215 and preceding 217 In other fields The number of digits in the sequence (Naturalis Veritas the end of the 221 ( two hundred twenty-one) is the natural number following 220 and preceding 222. Other meanings Two hundred and twenty-two is also Room 222 (TV show Bell 222 (helicopter The year see CE In mathematics 223 is a long prime, a Lucky prime and a Sexy prime (with 229. 227 is the natural number between 226 and 228. It is also a Prime number. 220 ( two hundred twenty) is the Natural number following 219 and preceding 221. 229 is the natural number between 228 and 230. It is also a Prime number. 233 is the Natural number between 232 and 234 It is also a Prime number. 235 is the integer after 234 and before 236 An integer(in-te-jer is any number positive or negative In mathematics It is the second number of the tenth row of 239 (two hundred thirty-nine is the Natural number following 238 and preceding 240. 241 is the natural number between 240 and 242. It is also a Prime number. 242 is the Natural number following 241 and preceding 243. In mathematics 242 is the smallest integer to start a run of four consecutive 245 is the Natural number following 244 and preceding 246. 245 in online public access (library catalogs Two hundred forty-five 245 = 5·72 251 is the natural number between 250 and 252. It is also a Prime number. 255 (two hundred fifty-five CCLV is the Natural number following 254 and preceding 256. 256 (two hundred fifty-six CCLVI is the natural number following 255 and preceding 257. 257 is the natural number between 256 and 258 It is also a Prime number. 263 is the natural number between 262 and 264. It is also a Prime number. 269 is the natural number between 268 and 270. It is also a Prime number. 273 (two hundred seventy-three CCLXXIII is the Natural number following 272 and preceding 274. 277 (read as two hundred and seventy-seven) is the Natural number following 276 and preceding 278. Two hundred eighty-four (284 CCLXXXIV is the Natural number following 283 and preceding 285 In mathematics 311 is a Twin prime with 313 an Eisenstein prime with no Imaginary part and Real part of the form 3n - 1 313 is an Integer following 312 and preceding 314. 313 is a Prime number Twin prime with 318 is the Natural number following 317 and preceding 319 In other fields According to Police chief Wiggum on The Simpsons; it is Three hundred and fifty-nine (359 is the number directly following 358 and directly preceding 360. 360 ( three hundred and sixty) is the Natural number following 359 and preceding 361 Timekeeping There are 3652422 Solar days in the Mean tropical year. Three hundred eighty four is an even composite positive integer 418 is the Natural number following 417 and preceding 419. 418 is not a Happy number. 420 is the Natural number following 419 and preceding 421 440 is the Natural number following 439 and preceding 441. 440 is a Happy number. 444 is the number that comes after 443 (number and before 445 (number. Kaprekar transformation The Kaprekar transformation is defined as follows for three-digit numbers Start with a three-digit number with at least two digits different Four hundred ninety-six is the Natural number following four hundred ninety-five and preceding four hundred ninety-seven 501 is the Natural number following 500 and followed by 502 In mathematics 501 is the sum of the first eighteen primes. 555 is the Natural number following 554 and preceding 556. Mathematical properties It is a Sphenic number. 593 is the Natural number following 592 and preceding 594 In mathematics 593 is an odd number In mathematics 616 is a member of the Padovan sequence, coming after 265 351 465 (it is the sum of the first two of these 619 is the 114th Prime number. It may also refer to Area code 619 in San Diego California United States Tiger Feint Kick variant In mathematics 666 is the natural number following 665 and preceding 667 600 ( six hundred) is the Natural number following five hundred ninety-nine and preceding six hundred one 715 (seven hundred fifteen is a number It is the natural number following 714 and preceding 716 Seven hundred twenty is the Natural number following 719 and preceding 721 743 ( seven hundred forty three) is the Natural number following 742 and preceding 744. This article is about the numbers 700 through 799 for each individual number see its section below 786 is the integer coming after 785 and before 787 In mathematics 786 is a Sphenic number. 790 is the Natural number following 789 and preceding 791. Mathematical properties Other fields 880 is an Integer, which is the number of 4-by-4 Magic squares It is a Harshad number. The number sequence 881 is a Paid Toll Free number prefix in the USA the Port of Los Angeles Long Wharf California State Historic Landmark #881 In mathematics It is a Prime number, and the sum of three consecutive primes (283 + 293 + 307 911 ( nine hundred and eleven) is the number following 910 and preceding 912 Nine hundred and ninety-nine is the Natural number following nine hundred ninety-eight and preceding one thousand. In mathematics It is the cube of 12, and as References to 1729 The television show Futurama contains several jokes about the Hardy-Ramanujan number In mathematics 1987 is an Odd number and the 300th Prime number. 3000 ( three thousand) is the Natural number following 2999 and preceding 3001 4104 is the second positive Integer which can be expressed as the sum of two positive cubes in two different ways 5040 is a Factorial (1 × 2 × 3 × 4 × 5 × 6 × 7 = 5040 and also a Highly composite number, a Superior highly composite number 6174 is known as Kaprekar's constant or Kaprekar's operation after the Indian Mathematician D See also 6000 (number, 6346 (number In mathematics 7744 is the square of 88. It is the smallest Square number which has no isolated digits See also 8128 Nicomachus Nine thousand nine-hundred ninety-nine ( 9999) is the Natural number following 9998 and preceding 10000. Other uses 64079 is the Zip code of Platte City and Tracy, Missouri. 65535 is the integer after 65534 and before 65536. In mathematics 65535 is a Mersenne number, being 2^{16}-1 65536 is the Natural number following 65535 and preceding 65537. 65537 is the integer after 65536 and before 65538 In mathematics 65537 is a Fermat number, being 2^{16} + 1 The Number 69105 was used as an In-joke at the United States Computer game manufacturer Infocom. 9814072356 is 99066 squared, and is the eighty-seventh and largest Square number using the digits 1 2 3 4 5 6 7 8 9 and 0 exactly once. Graham's number, named after Ronald Graham, is a large number that is an upper bound on the solution to a certain problem in Ramsey theory. References to 1729 The television show Futurama contains several jokes about the Hardy-Ramanujan number In Number theory, Skewes' number can refer to any of several extremely large numbers used by the South African mathematician Stanley Skewes as Upper In Mathematics, Steinhaus – Moser Notation is a means of expressing certain extremely Large numbers It is an extension of Steinhaus&rsquos The Number of the Beast is a concept from the Book of Revelation of the New Testament of the Christian Bible. The Leviathan number in mathematics is defined as the Factorial of ten to the 666th power (10666! 6174 is known as Kaprekar's constant or Kaprekar's operation after the Indian Mathematician D In Mathematics, a prime number (or a prime) is a Natural number which has exactly two distinct natural number Divisors 1 There are infinitely many Prime numbers Prime numbers may be generated with various Formulas for primes. In Mathematics, a divisor of an Integer n, also called a factor of n, is an integer which evenly divides n without

The first 100 prime numbers:

2	3	5	7	11	13	17	19	23	29
31	37	41	43	47	53	59	61	67	71
73	79	83	89	97	101	103	107	109	113
127	131	137	139	149	151	157	163	167	173
179	181	191	193	197	199	211	223	227	229
233	239	241	251	257	263	269	271	277	281
283	293	307	311	313	317	331	337	347	349
353	359	367	373	379	383	389	397	401	409
419	421	431	433	439	443	449	457	461	463
467	479	487	491	499	503	509	521	523	541

Perfect numbers

A perfect number is an integer that is the sum of its positive proper divisors (all divisors except itself). In mathematics Two has many properties in Mathematics. An Integer is called Even if it is divisible by 2 ---- In mathematics Three is the first odd Prime number, and the second smallest prime This article discusses the number five. For the year 5 AD see 5. In mathematics Seven is the fourth Prime number. It is not only a Mersenne prime (since 23 &minus 1 = 7 but also a 17 ( seventeen) is the Natural number following 16 and preceding 18. 19 ( nineteen) is the Natural number following 18 and preceding 20. This article is about the number 23 For the year see 23. For the movies see 23 (film and The Number 23. 29 ( twenty-nine) is the Natural number following 28 and preceding 30. 31 ( thirty-one) is the Natural number following 30 and preceding 32. 37 ( thirty-seven) is the Natural number following 36 and preceding 38. 41 ( forty-one) is the Natural number following 40 and preceding 42. 43 ( forty-three) is the Natural number following 42 and preceding 44. 47 ( forty-seven) is the Natural number following 46 and preceding 48. 53 ( fifty-three) is the Natural number following 52 and preceding 54. 59 ( fifty-nine) is the Natural number following 58 and preceding 60. 61 ( sixty-one) is the Natural number following 60 and preceding 62. 67 ( sixty-seven) is the Natural number following 66 and preceding 68. 71 ( seventy-one) is the Natural number following 70 and preceding 72. 73 ( seventy-three) is the Natural number following 72 and preceding 74. 79 ( seventy-nine) is the Natural number following 78 and preceding 80. In mathematics Eighty-three is the sum of three consecutive primes (23 + 29 + 31 as well as the sum of five consecutive primes (11 + 13 + 17 + 19 + 23 89 ( eighty-nine) is the Natural number following 88 and preceding 90. 97 ( ninety-seven) is the Natural number following 96 and preceding 98. 173 is the natural number between 172 and 174. It is also a Prime number. 179 is the natural number between 178 and 180. It is also a Prime number. 181 is the natural number between 180 and 182. In mathematics 181 is a Prime number, and a Twin prime with 179 φ 191 is the natural number between 190 and 192. It is also a Prime number. 193 is the natural number between 192 and 194. It is also a Prime number. 197 is the natural number between 196 and 198. It is also a Prime number. 199 is the Natural number between 198 and 200. It is also a Prime number. 211 is the Natural number between 210 and 212. It is also a Prime number. In mathematics 223 is a long prime, a Lucky prime and a Sexy prime (with 229. 227 is the natural number between 226 and 228. It is also a Prime number. 229 is the natural number between 228 and 230. It is also a Prime number. 233 is the Natural number between 232 and 234 It is also a Prime number. 239 (two hundred thirty-nine is the Natural number following 238 and preceding 240. 241 is the natural number between 240 and 242. It is also a Prime number. 251 is the natural number between 250 and 252. It is also a Prime number. 257 is the natural number between 256 and 258 It is also a Prime number. 263 is the natural number between 262 and 264. It is also a Prime number. 269 is the natural number between 268 and 270. It is also a Prime number. In mathematics a perfect number is defined as a positive integer which is the sum of its proper positive Divisors that is the sum of the positive divisors excluding

The first ten perfect numbers:

1	6
2	28
3	496
4	8 128
5	33 550 336
6	8 589 869 056
7	137 438 691 328
8	2 305 843 008 139 952 128
9	2 658 455 991 569 831 744 654 692 615 953 842 176
10	191 561 942 608 236 107 294 793 378 084 303 638 130 997 321 548 169 216

Cardinal numbers

In the following tables, [and] indicates that the word and is used in some dialects (such as British English), and omitted in other dialects (such as American English). This article describes cardinal numbers in mathematics For cardinals in linguistics see Names of numbers in English. A dialect (from the Greek word διάλεκτος dialektos) is a variety of a Language that is characteristic of a particular group of British English or UK English ( BrE, BE, en-GB) is the broad term used to distinguish the forms of the English language used in the Phonology North American English regional phonology In many ways compared to English English, North American English is conservative in its Phonology.

Small numbers

This table demonstrates the standard English construction of small cardinal numbers up to ten million -- names for which all variants of English agree.

Value	Name	Alternate names
0	Zero	aught, cipher, cypher, goose egg, nada, naught, nil, none, nought, nowt, null, ought, oh, squat, zed, zilch, zip
1	One	ace, single, singleton, unary, unit, unity
2	Two	binary, brace, couple, couplet, distich, deuce, double, doubleton, duad, duality, duet, duo, dyad, pair, span, twain, twosome, yoke
3	Three	deuce-ace, leash, set, tercet, ternary, ternion, terzetto, threesome, tierce, trey, triad, trine, trinity, trio, triplet, troika
4	Four	foursome, quadruplet, quatern, quaternary, quaternion, quaternity, quartet, tetrad
5	Five	cinque, fin, fivesome, pentad, quint, quintet, quintuplet
6	Six	half dozen, hexad, sestet, sextet, sextuplet, sise
7	Seven	heptad, septet, septuplet
8	Eight	octad, octave, octet, octonary, octuplet, ogdoad
9	Nine	ennead
10	Ten	deca, decade, sawbuck
11	Eleven
12	Twelve	dozen
13	Thirteen	baker's dozen, long dozen
14	Fourteen
15	Fifteen
16	Sixteen
17	Seventeen
18	Eighteen
19	Nineteen
20	Twenty	score
21	Twenty-one
22	Twenty-two
23	Twenty-three
24	Twenty-four	two dozen
25	Twenty-five
26	Twenty-six
27	Twenty-seven
28	Twenty-eight
29	Twenty-nine
30	Thirty
31	Thirty-one
40	Forty
50	Fifty	Half - century
60	Sixty	shock
70	Seventy	three-score and ten
80	Eighty	four-score
87	Eighty-seven	four-score and seven
90	Ninety
100	One hundred	centred, century, ton, short hundred
101	One hundred [and] one
110	One hundred [and] ten
111	One hundred [and] eleven,
120	One hundred [and] twenty	long hundred, great hundred, (obsolete) hundred
121	One hundred [and] twenty-one
144	One hundred [and] forty-four	gross, dozen dozen, small gross
200	Two hundred
300	Three hundred
666	Six Hundred [and] sixty-six	Number of the Beast
1 000	One thousand	chiliad, grand (or G), thou, yard, kilo (often shortened to K)
1 001	One thousand [and] one
1 010	One thousand [and] ten
1 011	One thousand [and] eleven
1 024	One thousand [and] twenty-four	kilo (in computing, see binary prefix) (often shortened to K)
1 100	One thousand one hundred
1 101	One thousand one hundred [and] one
1 728	One thousand seven hundred [and] twenty-eight	great gross, long gross, dozen gross
2 000	Two thousand
10 000	Ten thousand	myriad
100 000	One hundred thousand	lakh
500 000	Five hundred thousand	crore (Iranian)
1 000 000	One million	meg, mil, (often shortened to M)
1 048 576	One million forty-eight thousand five hundred [and] seventy-six	meg (in computing, see binary prefix) (often shortened to M)
10 000 000	Ten million	crore (Indian)

English names for powers of 10

This table compares the English names of cardinal numbers according to various American, British, and Continental European conventions. A baker's dozen, also known as a long dozen and a "long measure" is 13, one more than a proper Dozen. The Gettysburg Address is a speech by US President Abraham Lincoln and one of the most quoted speeches in United States history. A gross is equal to a Dozen dozen ie 12 × 12 = 144. It can be used in Duodecimal counting The Number of the Beast is a concept from the Book of Revelation of the New Testament of the Christian Bible. Computing is usually defined like the activity of using and developing Computer technology Computer hardware and software. In computing binary prefixes are names or associated symbols that can precede a unit of measure (such as a Byte) to indicate multiplication by a power of two Myriad is a classical Greek name for the Number 104 = 10000. In modern English the word refers to an unspecified large quantity A lakh (also written lac, and lackh in an Indian english language news source India PR Wire 8 Oct '08 is a unit in the Indian numbering system equal to A crore is a unit in the Indian numbering system and was formerly a unit in the Persian numbering system still widely used in Bangladesh, India, Maldives Computing is usually defined like the activity of using and developing Computer technology Computer hardware and software. In computing binary prefixes are names or associated symbols that can precede a unit of measure (such as a Byte) to indicate multiplication by a power of two A crore is a unit in the Indian numbering system and was formerly a unit in the Persian numbering system still widely used in Bangladesh, India, Maldives See names of numbers in English or English-language numerals for more information on naming numbers. The long and short scales are two different numerical systems used throughout the world Short scale is the English translation of the French

	Short scale	Long scale		Power
Value	American & Modern British	Traditional British (Nicolas Chuquet)	Continental European (Jacques Peletier du Mans)	of a thousand	of a million
10⁰	One			1000^-1+1	1000000⁰
10¹	Ten
10²	Hundred
10³	Thousand			1000⁰⁺¹	1000000^{0. The long and short scales are two different numerical systems used throughout the world Short scale is the English translation of the French The long and short scales are two different numerical systems used throughout the world Short scale is the English translation of the French Nicolas Chuquet (1445 but some sources say c 1455 &ndash 1488 some sources say c Jacques Peletier du Mans (1517 Le Mans – 1582 Paris) was a humanist, Poet and Mathematician of the French Renaissance 5}
10⁶	Million			1000¹⁺¹	1000000¹
10⁹	Billion	Thousand million	Milliard	1000²⁺¹	1000000^{1. 5}
10¹²	Trillion	Billion		1000³⁺¹	1000000²
10¹⁵	Quadrillion	Thousand billion	Billiard	1000⁴⁺¹	1000000^{2. 5}
10¹⁸	Quintillion	Trillion		1000⁵⁺¹	1000000³
10²¹	Sextillion	Thousand trillion	Trilliard	1000⁶⁺¹	1000000^{3. 5}
10²⁴	Septillion	Quadrillion		1000⁷⁺¹	1000000⁴
10²⁷	Octillion	Thousand quadrillion	Quadrilliard	1000⁸⁺¹	1000000^{4. 5}
10³⁰	Nonillion	Quintillion		1000⁹⁺¹	1000000⁵
10³³	Decillion	Thousand quintillion	Quintilliard	1000¹⁰⁺¹	1000000^{5. 5}
10³⁶	Undecillion	Sextillion		1000¹¹⁺¹	1000000⁶
10³⁹	Duodecillion	Thousand sextillion	Sextilliard	1000¹²⁺¹	1000000^{6. 5}
10⁴²	Tredecillion	Septillion		1000¹³⁺¹	1000000⁷
10⁴⁵	Quattuordecillion	Thousand septillion	Septilliard	1000¹⁴⁺¹	1000000^{7. 5}
10⁴⁸	Quindecillion	Octillion		1000¹⁵⁺¹	1000000⁸
10⁵¹	Sexdecillion	Thousand octillion	Octilliard	1000¹⁶⁺¹	1000000^{8. 5}
10⁵⁴	Septendecillion	Nonillion		1000¹⁷⁺¹	1000000⁹
10⁵⁷	Octodecillion	Thousand nonillion	Nonilliard	1000¹⁸⁺¹	1000000^{9. 5}
10⁶⁰	Novemdecillion	Decillion		1000¹⁹⁺¹	1000000¹⁰
10⁶³	Vigintillion	Thousand decillion	Decilliard	1000²⁰⁺¹	1000000^{10. 5}
10⁶⁶	Unvigintillion	Undecillion		1000²¹⁺¹	1000000¹¹
10⁶⁹	Duovigintillion	Thousand undecillion	Undecilliard	1000²²⁺¹	1000000^{11. 5}
10⁷²	Trevigintillion	Duodecillion		1000²³⁺¹	1000000¹²
10⁷⁵	Quattuorvigintillion	. . .	. . .	1000²⁴⁺¹	1000000^{12. 5}
. . .	. . .	. . .		. . .	. . .
10⁹³	Trigintillion	Thousand quindecillion	Quindecilliard	1000³⁰⁺¹	1000000^{15. 5}
. . .	. . .	. . .		. . .	. . .
10¹²⁰	Novemtrigintillion	Vigintillion		1000³⁹⁺¹	1000000²⁰
10¹²³	Quadragintillion	Thousand vigintillion	Vigintilliard	1000⁴⁰⁺¹	1000000^{20. 5}
. . .	. . .	. . .		. . .	. . .
10¹⁵³	Quinquagintillion	Thousand duovigintillion	Duovigintilliard	1000⁵⁰⁺¹	1000000^{25. 5}
. . .	. . .	. . .		. . .	. . .
10¹⁸⁰	Novemquinquagintillion	Trigintillion		1000⁵⁹⁺¹	1000000³⁰
10¹⁸³	Sexagintillion	Thousand trigintillion	Trigintilliard	1000⁶⁰⁺¹	1000000^{30. 5}
. . .	. . .	. . .		. . .	. . .
10²¹³	Septuagintillion	Thousand quintrigintillion	Quintrigintilliard	1000⁷⁰⁺¹	1000000^{35. 5}
. . .	. . .	. . .		. . .	. . .
10²⁴⁰	Novemseptuagintillion	Quadragintillion		1000⁷⁹⁺¹	1000000⁴⁰
10²⁴³	Octogintillion	Thousand quadragintillion	Quadragintilliard	1000⁸⁰⁺¹	1000000^{40. 5}
. . .	. . .	. . .		. . .	. . .
10²⁷³	Nonagintillion	Thousand quinquadragintillion	Quinquadragintilliard	1000⁹⁰⁺¹	1000000^{45. 5}
. . .	. . .	. . .		. . .	. . .
10³⁰⁰	Novemnonagintillion	Quinquagintillion		1000⁹⁹⁺¹	1000000⁵⁰
10³⁰³	Centillion	Thousand quinquagintillion	Quinquagintilliard	1000¹⁰⁰⁺¹	1000000^{50. Names of numbers larger than a quadrillion are almost never used for reasons discussed further below 5}
. . .		. . .		. . .	. . .
10³⁶⁰		Sexagintillion		1000¹¹⁹⁺¹	1000000⁶⁰
10⁴²⁰		Septuagintillion		1000¹³⁹⁺¹	1000000⁷⁰
10⁴⁸⁰		Octogintillion		1000¹⁵⁹⁺¹	1000000⁸⁰
10⁵⁴⁰		Nonagintillion		1000¹⁷⁹⁺¹	1000000⁹⁰
10⁶⁰⁰		Centillion		1000¹⁹⁹⁺¹	1000000¹⁰⁰
10⁶⁰³	ducentillion	Thousand Centillion	Centilliard	1000²⁰⁰⁺¹	1000000^{100. Names of numbers larger than a quadrillion are almost never used for reasons discussed further below Names of numbers larger than a quadrillion are almost never used for reasons discussed further below 5}

There is no consistent and widely accepted way to extend cardinals beyond centillion (centilliard). Names of numbers larger than a quadrillion are almost never used for reasons discussed further below Names of numbers larger than a quadrillion are almost never used for reasons discussed further below

Proposed systematic names for powers of 10

Gillion system

As proposed by Russ Rowlett, based on Greek-derived numerical prefixes:

Value	Name
10³	Thousand
10⁶	Million
10⁹	Gillion
10¹²	Tetrillion
10¹⁵	Pentillion
10¹⁸	Hexillion
10²¹	Heptillion
10²⁴	Oktillion
10²⁷	Ennillion
10³⁰	Dekillion

Value	Name
10³³	Hendekillion
10³⁶	Dodekillion
10³⁹	Trisdekillion
10⁴²	Tetradekillion
10⁴⁵	Pentadekillion
10⁴⁸	Hexadekillion
10⁵¹	Heptadekillion
10⁵⁴	Oktadekillion
10⁵⁷	Enneadekillion
10⁶⁰	Icosillion

Value	Name
10⁶³	Icosihenillion
10⁶⁶	Icosidillion
10⁶⁹	Icositrillion
10⁷²	Icositetrillion
10⁷⁵	Icosipentillion
10⁷⁸	Icosihexillion
10⁸¹	Icosiheptillion
10⁸⁴	Icosioktillion
10⁸⁷	Icosiennillion
10⁹⁰	Triacontillion

Myriad system

Proposed by Donald E. Knuth:

Value	Name	Notation
10⁰	One	1
10¹	Ten	10
10²	Hundred	100
10³	Ten hundred	1000
10⁴	Myriad	1,0000
10⁵	Ten myriad	10,0000
10⁶	Hundred myriad	100,0000
10⁷	Ten hundred myriad	1000,0000
10⁸	Myllion	1,0000,0000
10¹²	Myriad myllion	1,0000,0000,0000
10¹⁶	Byllion	1,0000,0000,0000,0000
10²⁴	Myllion byllion	1,0000,0000:0000,0000;0000,0000
10³²	Tryllion	1 0000,0000;0000,0000:0000,0000;0000,0000
10⁶⁴	Quadryllion	1'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000
10¹²⁸	Quintyllion	1'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000
10²⁵⁶	Sextyllion	1'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,00000000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000'0000,0000;0000,0000:0000,0000;0000,0000 0000,0000;0000,0000:0000,0000;0000,0000
10⁵¹²	Septyllion
10¹⁰²⁴	Octyllion
10²⁰⁴⁸	Nonyllion
10⁴⁰⁹⁶	Decyllion
10⁸¹⁹²	Undecyllion
10^16,384	Duodecyllion
10^32,768	Tredecyllion
10^65,536	Quattuordecyllion
10^131,072	Quindecyllion
10^262,144	Sexdecyllion
10^524,288	Septendecyllion
10^1,048,576	Octodecyllion
10^2,097,152	Novemdecyllion
10^4,194,304	Vigintyllion
10^8,388,608	Cafaolion
10^16,777,216	Saralion
${10}^{\,\! 4 * 2^{40}}$	Quadragintyllion
${10}^{\,\! 4 * 2^{50}}$	Quinquagintyllion
${10}^{\,\! 4 * 2^{60}}$	Sexagintyllion
${10}^{\,\! 4 * 2^{70}}$	Septuagintyllion
${10}^{\,\! 4 * 2^{80}}$	Octogintyllion
${10}^{\,\! 4 * 2^{90}}$	Nonagintyllion
${10}^{\,\! 4 * 2^{100}}$	Centyllion
${10}^{\,\! 4 * 2^{1000}}$	Millyllion
${10}^{\,\! 4 * 2^{10000}}$	Myryllion

Googol and others

10¹⁰⁰	Googol
${10}^{\,\!10^{100}}$	Googolplex
10^-N	N-minex
10^N	N-plex

SI-derived

Value	SI prefix	Name	Binary prefix	Value
1 000	k	Kilo (k)	Ki	1024
1 000 000	M	Meg (M)	Mi	1 048 576
1 000 000 000	G	Gig	Gi	1 073 741 824

Fractional numbers

This is a table of English names for positive rational numbers less than or equal to 1. Greek (el ελληνική γλώσσα or simply el ελληνικά — "Hellenic" is an Indo-European language, spoken today by 15-22 million people mainly Numerical prefixes are usually derived from the words for numbers in various languages most commonly Greek and Latin, although this is not always the case A googol is the Large number 10100 that is the digit 1 followed by one hundred zeros (in Decimal representation Names of numbers larger than a quadrillion are almost never used for reasons discussed further below An SI prefix (also known as a metric prefix) is a name or associated symbol that precedes a unit of measure (or its symbol to form a Decimal multiple or In computing binary prefixes are names or associated symbols that can precede a unit of measure (such as a Byte) to indicate multiplication by a power of two In Mathematics, a fraction (from the Latin fractus, broken is a concept of a proportional relation between an object part and the object In Mathematics, a rational number is a number which can be expressed as a Ratio of two Integers Non-integer rational numbers (commonly called fractions It also lists alternative names, but there is no widespread convention for the names of extremely small positive numbers.

Keep in mind that rational numbers like 0. 12 can be represented in infinitely many ways, e. Infinity (symbolically represented with ∞) comes from the Latin infinitas or "unboundedness g. zero-point-one-two (0. 12), twelve percent (12%), three twenty-fifths $\left({3 \over 25}\right)$ , nine seventy-fifths $\left({9 \over 75} \right)$ , six fiftieths $\left({6 \over 50}\right)$ , twelve hundredths $\left({12 \over 100}\right)$ , twenty-four two-hundredths $\left({24 \over 200}\right)$ , etc. In Mathematics, a percentage is a way of expressing a number as a Fraction of 100 ( per cent meaning "per hundred"

Value	Fraction	Common names	Alternative names
1	$1 \over 1$	One	0.999...
0. 9	$9 \over 10$	Nine tenths, zero point nine
0. 8	$4 \over 5$	Four fifths, eight tenths, zero point eight
0. 7	$7 \over 10$	Seven tenths, zero point seven
0. 6	$3 \over 5$	Three fifths, six tenths, zero point six
0. 5	$1 \over 2$	One half, five tenths, zero point five
0. 4	$2 \over 5$	Two fifths, four tenths, zero point four
0. 3 (333 333). . .	$1 \over 3$	One third
0. 3	$3 \over 10$	Three tenths, zero point three
0. 25	$1 \over 4$	One quarter, one fourth, twenty-five hundredths, zero point two five
0. 2	$1 \over 5$	One fifth, two tenths, zero point two
0. 16 (666 666). . .	$1 \over 6$	One sixth
0. 142 857 (142 857). . .	$1 \over 7$	One seventh
0. 125	$1 \over 8$	One eighth, one-hundred-[and]-twenty-five thousandths, zero point one two five
0. 1 (111 111). . .	$1 \over 9$	One ninth
0. 1	$1 \over 10$	One tenth, zero point one	One perdecime, one perdime
0. 090 (909 090). . .	$1 \over 11$	One eleventh
0. 09	$9 \over 100$	Nine hundredths, zero point zero nine
0. 083 (333 333). . .	$1 \over 12$	One twelfth
0. 08	$2 \over 25$	Two twenty-fifths, eight hundredths, zero point zero eight
0. 0625	$1 \over 16$	One sixteenth, six-hundred-[and]-twenty-five ten-thousandths, zero point zero six two five
0. 05	$1 \over 20$	One twentieth, zero point zero five
0. 047 619 (047 619). . .	$1 \over 21$	One twenty-first
0. 045 (454 545). . .	$1 \over 22$	One twenty-second
0. 043 478 260 869 565 217 3913 (043 478). . .	$1 \over 23$	One twenty-third
0. 03 (333 333). . .	$1 \over 30$	One thirtieth
0. 016 (666 666). . .	$1 \over 60$	One sixtieth	One minute
0. A minute is a Unit of measurement of Time or of Angle. The minute is a unit of Time equal to 1/60th of an Hour or 60 012345679 (012345679)	$1 \over 81$	One eighty-first
0. 01	$1 \over 100$	One hundredth, zero point zero one	One percent
0. In Mathematics, a percentage is a way of expressing a number as a Fraction of 100 ( per cent meaning "per hundred" 001	$1 \over 1000$	One thousandth, zero point zero zero one	One permille
0. A per mil or per mille (also spelled permil, per mill or promille) ( Latin, literally meaning 'for (every thousand' is a tenth 000 27 (777 777). . .	$1 \over 3600$	One thirty-six hundredth	One second
0. A minute of arc, arcminute, or MOA is a unit of angular measurement, equal to one sixtieth (1/60 of one degree. 000 1	$1 \over 10000$	One ten-thousandth, zero point zero zero zero one	One myriadth, one permyria, one permyriad, one basis point
0. A basis point (often denoted as bp or ‱ rarely permyriad) is a unit that is equal to 1/100th of a Percentage point. 000 01	$1 \over 10^5$	One hundred-thousandth	One lakhth, one perlakh
0. 000 001	$1 \over 10^6$	One millionth	One perion, one ppm
0. "Parts-per" notation is used especially in Science and Engineering, to denote Ratios (relative proportions in measured quantities particularly 000 000 1	$1 \over 10^7$	One ten-millionth	One crorth, one percrore
0. 000 000 01	$1 \over 10^8$	One hundred-millionth	One awkth, one perawk
0. 000 000 001	$1 \over 10^9$	One billionth (in some dialects)	One ppb
0	$0 \over 1$	Zero

Irrational numbers

Algebraic numbers

Expression	Value	Notes
${\sqrt{5} - 1} \over 2$	0. "Parts-per" notation is used especially in Science and Engineering, to denote Ratios (relative proportions in measured quantities particularly In Mathematics, an irrational number is any Real number that is not a Rational number — that is it is a number which cannot be expressed as a fraction In Mathematics, an algebraic number is a Complex number that is a root of a non-zero Polynomial in one variable with rational (or 618 033 988 749 894 848 204 586 834 366. . .	Golden ratio conjugate $\Phi\,$ , reciprocal of and one less than the golden ratio. In Mathematics and the Arts two quantities are in the Golden ratio if the Ratio between the sum of those quantities and the larger one is the In Mathematics and the Arts two quantities are in the Golden ratio if the Ratio between the sum of those quantities and the larger one is the
$\sqrt[12]{2}$	1. 059 463 094 359 295 264 561 825 294 946. . .	Twelfth root of two. The twelfth root of two or \sqrt{2} is an algebraic Irrational number, representing the Frequency Ratio between any two consecutive Proportion between the frequencies of adjacent semitones in the equal temperament scale. A semitone, also called a half step or a half tone, is the smallest Musical interval commonly used in Western tonal music and it is considered the Equal temperament is a Musical temperament, or a system of tuning in which every pair of adjacent notes has an identical Frequency ratio.
$\sqrt[3]{2}$	1. 259 921 049 894 873 164 767 210 607 278. . .	Cube root of two. In Mathematics, a cube root of a number denoted \sqrt{x} or x1/3 is a number a such that a 3 = x Length of the edge of a cube with volume two. A cube is a three-dimensional solid object bounded by six square faces facets or sides with three meeting at each vertex. See doubling the cube for the significance of this number. Doubling the cube (also known as The Delian Problem) is one of the three most famous geometric problems unsolvable by Compass and straightedge construction
$\sqrt[3]{\frac{1}{2}+\frac{1}{6}\sqrt{\frac{23}{3}}}+$ $\sqrt[3]{\frac{1}{2}-\frac{1}{6}\sqrt{\frac{23}{3}}}$	1. 324 717 957 244 746 025 960 908 854 478. . .	Plastic number. In math the plastic number (also known as the plastic constant) is the unique real solution of the equation x^3=x+1\ and has the value
$\sqrt{2}$	1. 414 213 562 373 095 048 801 688 724 210. . .	$\sqrt{2} = 2 \sin 45^\circ = 2 \cos 45^\circ$ Square root of two a. The square root of 2, also known as Pythagoras' Constant, often denoted by \sqrt{2} or √2 k. a. Pythagoras' constant. The square root of 2, also known as Pythagoras' Constant, often denoted by \sqrt{2} or √2 Ratio of diagonal to side length in a square. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line Classification A square (regular Quadrilateral) is a special case of a Rectangle as it has four right angles and equal parallel sides Proportion between the sides of paper sizes in the ISO 216 series (originally DIN 476 series). There have been many standard sizes of Paper at different times and in different countries but today there are two widespread systems in use the international standard (A4 A series Paper in the A series format has a 1\sqrt{2} aspect ratio although this is rounded to the nearest millimetre Deutsches Institut für Normung eV ( DIN; in English, the German Institute for Standardization) is the German national organization for
${\sqrt{5} + 1} \over 2$	1. 618 033 988 749 894 848 204 586 834 366. . .	Golden ratio $\left(\phi\right)$ . In Mathematics and the Arts two quantities are in the Golden ratio if the Ratio between the sum of those quantities and the larger one is the
$\sqrt{3}$	1. 732 050 807 568 877 193 176 604 123 437. . .	$\sqrt{3} = 2 \sin 60^\circ = 2 \cos 30^\circ$ Square root of three a. Geometry If an equilateral triangle ( Equilateral polygon with three sides with sides of length 1 is cut into two equal halves by bisecting an internal angle across k. a. the measure of the fish. The vesica piscis is a Shape which is the intersection of two Circles with the same radius intersecting in such a way that the center of each circle lies on the circumference Length of the diagonal of a cube with edge length 1. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line A cube is a three-dimensional solid object bounded by six square faces facets or sides with three meeting at each vertex. Length of the diagonal of a $1 \times \sqrt{2}$ rectangle. In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Altitude of an equilateral triangle with side length 2. In Geometry, an altitude of a triangle is a Straight line through a vertex and Perpendicular to (i Properties The area of an equilateral triangle with sides of length a\\! Twice the altitude of an equilateral triangle with side length 1. Altitude of a regular hexagon with side length 1 and diagonal length 2. Regular hexagon The internal Angles of a regular hexagon (one where all sides and all angles are equal are all 120 ° and the hexagon has 720 degrees
$\sqrt{5}$	2. 236 067 977 499 789 805 051 477 742 381. . .	Square root of five. Length of the diagonal of a $1 \times 2$ rectangle. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Length of the diagonal of a $\sqrt{2} \times \sqrt{3}$ rectangle. Length of the diagonal of a $1 \times \sqrt{2} \times \sqrt{2}$ rectangular box. In anatomy the Cuboid bone is a bone in the foot See also Hyperrectangle Oblong
$\sqrt{2} + 1$	2. 414 213 562 373 095 048 801 688 724 210. . .	Silver ratio $\left(\delta_S\right)$ . The silver ratio is a mathematical Constant. Its name is an allusion to the Golden ratio; analogously to the way the golden ratio is the limiting ratio
$\sqrt{6}$	2. 449 489 742 783 177 881 335 632 264 381. . .	$\sqrt{2} \cdot \sqrt{3}$ = area of a $\sqrt{2} \times \sqrt{3}$ rectangle. Area is a Quantity expressing the two- Dimensional size of a defined part of a Surface, typically a region bounded by a closed Curve. Length of the diagonal of a $1 \times 1 \times 2$ rectangular box. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line In anatomy the Cuboid bone is a bone in the foot See also Hyperrectangle Oblong Length of the diagonal of a $1 \times \sqrt{5}$ rectangle. In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Length of the diagonal of a $2 \times \sqrt{2}$ rectangle. Length of the diagonal of a $\sqrt{3} \times \sqrt{3}$ rectangle.
$\sqrt{7}$	2. 645 751 311 064 590 716 171 096 573 817. . .	Length of the diagonal of a $1 \times 2 \times \sqrt{2}$ rectangular box. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line In anatomy the Cuboid bone is a bone in the foot See also Hyperrectangle Oblong Length of the diagonal of a $1 \times \sqrt{6}$ rectangle. In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Length of the diagonal of a $2 \times \sqrt{3}$ rectangle. Length of the diagonal of a $\sqrt{2} \times \sqrt{5}$ rectangle.
$\sqrt{8}$	2. 828 427 124 746 190 290 949 243 717 478. . .	$2 \sqrt{2}$ Volume of a cube with edge length $\sqrt{2}$ . The volume of any solid plasma vacuum or theoretical object is how much three- Dimensional space it occupies often quantified numerically A cube is a three-dimensional solid object bounded by six square faces facets or sides with three meeting at each vertex. Length of the diagonal of a $2 \times 2$ rectangle. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Length of the diagonal of a $1 \times \sqrt{7}$ rectangle. Length of the diagonal of a $\sqrt{2} \times \sqrt{6}$ rectangle. Length of the diagonal of a $\sqrt{3} \times \sqrt{5}$ rectangle.
$\sqrt{10}$	3. 162 277 660 168 379 522 787 063 251 599. . .	$\sqrt{2} \cdot \sqrt{5}$ = area of a $\sqrt{2} \times \sqrt{5}$ rectangle. Area is a Quantity expressing the two- Dimensional size of a defined part of a Surface, typically a region bounded by a closed Curve. Length of the diagonal of a $1 \times 3$ rectangle. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Length of the diagonal of a $2 \times \sqrt{6}$ rectangle. Length of the diagonal of a $\sqrt{3} \times \sqrt{7}$ rectangle. Length of the diagonal of a $\sqrt{5} \times \sqrt{5}$ rectangle.
$\sqrt{11}$	3. 316 624 790 355 399 849 114 932 736 671	Length of the diagonal of a $1 \times 1 \times 3$ rectangular box. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line In anatomy the Cuboid bone is a bone in the foot See also Hyperrectangle Oblong Length of the diagonal of a $1 \times \sqrt{10}$ rectangle. In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Length of the diagonal of a $2 \times \sqrt{7}$ rectangle. Length of the diagonal of a $3 \times \sqrt{2}$ rectangle. Length of the diagonal of a $\sqrt{3} \times \sqrt{8}$ rectangle. Length of the diagonal of a $\sqrt{5} \times \sqrt{6}$ rectangle.
$\sqrt{12}$	3. 464 101 615 137 754 587 054 892 683 012. . .	$2 \sqrt{3}$ Length of the diagonal of a cube with edge length 2. A diagonal can refer to a line joining two nonconsecutive vertices of a Polygon or Polyhedron, or in contexts any upward or downward sloping line A cube is a three-dimensional solid object bounded by six square faces facets or sides with three meeting at each vertex. Length of the diagonal of a $1 \times \sqrt{11}$ rectangle. In Geometry, a rectangle is defined as a Quadrilateral where all four of its angles are Right angles A rectangle with vertices ABCD would be denoted as Length of the diagonal of a $2 \times \sqrt{8}$ rectangle. Length of the diagonal of a $3 \times \sqrt{3}$ rectangle. Length of the diagonal of a $\sqrt{2} \times \sqrt{10}$ rectangle. Length of the diagonal of a $\sqrt{5} \times \sqrt{7}$ rectangle. Length of the diagonal of a $\sqrt{6} \times \sqrt{6}$ rectangle.

Transcendental numbers

Khinchin-Lévy constant: 1. In Mathematics, a transcendental number is a Complex number that is not algebraic, that is not a solution of a non-zero Polynomial equation In Mathematics Lévy's constant (sometimes known as the Khinchin–Lévy constant) occurs in an expression for the Asymptotic behaviour of the denominators 186 569 110 4. . . [1]
Euler's number: e = 2. The Mathematical constant e is the unique Real number such that the function e x has the same value as the slope of the tangent line 718 281 828 459 045 235 360 287 471 353 . . .
Pi: π = 3. IMPORTANT NOTICE Please note that Wikipedia is not a database to store the millions of digits of π please refrain from adding those to Wikipedia as it could cause technical problems 141 592 653 589 793 238 462 643 383 279 . . .

Suspected transcendentals

Euler-Mascheroni constant: γ = 0. The Euler–Mascheroni constant (also called the Euler constant) is a Mathematical constant recurring in analysis and Number theory, usually 577 215 664 901 532 860 606 512 090 082 . . .
Gauss-Kuzmin-Wirsing constant: 0. 303 663 002 9. . . [2]
Laplace limit: ε=0. In mathematics the Laplace limit is the maximum value of the eccentricity for which the series solution to Kepler's equation converges 662 743 419 3. . . [3]
Khinchin's constant: 2. In Number theory, Aleksandr Yakovlevich Khinchin proved that for Almost all real numbers x, the infinitely many denominators a i 685 452 001. . . [4]
Feigenbaum constants: δ = 4. 6692 . . . and α = 2. 5029 . . .

Numbers not known with high precision

Grothendieck constant: between 1. In Mathematics, the Grothendieck inequality relates \max_{-1 \leq s_i \leq 1 -1 \leq t_j \leq 1 } \left| \sum_{ij} a_{ij} s_i t_j \right| to 67 and 1. 79

Hypercomplex numbers

Algebraic complex numbers

Imaginary unit: $i = \sqrt{-1}$

Other hypercomplex numbers

The quaternions
The octonions
The sedenions
The dual numbers (with an infinitesimal)

Transfinite numbers

Infinity in general: $\infty$
Aleph-null: $\aleph_0$
Aleph-one: $\aleph_1$
Beth-one: ( $\beth_1$ ) is the cardinality of the continuum: $2^{\aleph_0}$

Numbers representing measured quantities

Pair: 2 (the base of the binary numeral system)
Dozen: 12 (the base of the duodecimal numeral system)
Baker's dozen: 13
Score: 20 (the base of the vigesimal numeral system)
Gross: 144 (= 12²)
Great gross: 1728 (= 12³)
Avogadro's number: N_A = $6.022... \times 10^{23}$

Numbers without specific values

Main article: Placeholder name#Numbers

Bases

Base -3 (negaternary)
Base -2 (negabinary)
Base 1 (unary)
Base 2 (binary)
Base 3 (ternary or trinary, see also balanced ternary)
Base 4 (quaternary)
Base 5 (quinary)
Base 6 (senary or heximal)
Base 7 (septenary)
Base 8 (octal)
Base 9 (nonary)
Base 10 (decimal)
Base 12 (duodecimal or dozenal)
Base 13 (tridecimal or tredecimal)
Base 16 (hexadecimal)
Base 20 (vigesimal)
Base 24 (quadrovigesimal)
Base 26 (hexavigesimal)
Base 27 (septemvigesimal)
Base 30 (trigesimal)
Base 32 (duotrigesimal)
Base 36 (hexatridecimal, sexatrigesimal or hexatrigesimal)
Base 60 (sexagesimal)
Base 64 (quadrosexagesimal)
mixed radix
Base φ (phinary)
Base 2i (quater-imaginary)

See also positional systems of numeral system for bases which might not be listed here. The term hypercomplex number has been used in Mathematics for the elements of algebras that extend or go beyond Complex number arithmetic Complex plane In Mathematics, the complex numbers are an extension of the Real numbers obtained by adjoining an Imaginary unit, denoted Definition By definition the imaginary unit i is one solution (of two of the Quadratic equation Quaternions, in Mathematics, are a non-commutative extension of Complex numbers They were first described by the Irish Mathematician In Mathematics, the octonions are a nonassociative extension of the Quaternions Their 8-dimensional Normed division algebra over the Real In Abstract algebra, sedenions form a 16- dimensional algebra over the reals. A variety of dualities in mathematics are listed at Duality (mathematics. Infinitesimals (from a 17th century Modern Latin coinage infinitesimus, originally referring to the " Infinite[[ th]]" member of a series have Transfinite numbers are Cardinal numbers or Ordinal numbers that are larger than all finite numbers yet not necessarily absolutely infinite. Infinity (symbolically represented with ∞) comes from the Latin infinitas or "unboundedness In Mathematics, the cardinality of the continuum, sometimes also called the power of the continuum, is the size ( Cardinality) of the set of In Mathematics, the cardinality of a set is a measure of the "number of elements of the set" In Mathematics, the word continuum has at least two distinct meanings outlined in the sections below The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. Dozen is another word for the Number twelve. The dozen may be one of the earliest primitive groupings perhaps because there are approximately a dozen cycles of the The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. A baker's dozen, also known as a long dozen and a "long measure" is 13, one more than a proper Dozen. "Twenty" redirects here For the village in England, see Twenty Lincolnshire. The vigesimal or base - numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten A gross is equal to a Dozen dozen ie 12 × 12 = 144. It can be used in Duodecimal counting In mathematics It is the cube of 12, and as The Avogadro constant (symbols L, N A also called Avogadro's number, is the number of "elementary entities" (usually Atoms Placeholder names are words that can refer to objects or people whose names are either irrelevant or unknown in the context in which it is being discussed A negative base (or negative Radix) may be used to construct a Non-standard positional numeral system. A negative base (or negative Radix) may be used to construct a Non-standard positional numeral system. A negative base (or negative Radix) may be used to construct a Non-standard positional numeral system. A negative base (or negative Radix) may be used to construct a Non-standard positional numeral system. A negative base (or negative Radix) may be used to construct a Non-standard positional numeral system. The unary numeral system is the bijective base - 1 Numeral system. The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. The binary numeral system, or base-2 number system, is a Numeral system that represents numeric values using two symbols usually 0 and 1. Ternary or trinary is the base - Numeral system. Analogous to a " Bit " a ternary digit is known as a trit ( Ternary or trinary is the base - Numeral system. Analogous to a " Bit " a ternary digit is known as a trit ( Balanced ternary is a non-standard positional numeral system (a Balanced form) useful for comparison logic Quaternary is the base - Numeral system. It uses the digits 0 1 2 and 3 to represent any Real number. Quaternary is the base - Numeral system. It uses the digits 0 1 2 and 3 to represent any Real number. Quinary ( base -) is a Numeral system with five as the base This originates from the five Fingers on either Hand. Quinary ( base -) is a Numeral system with five as the base This originates from the five Fingers on either Hand. In Mathematics, a senary Numeral system is a base - numeral system In Mathematics, a senary Numeral system is a base - numeral system In Mathematics, a senary Numeral system is a base - numeral system The septenary Numeral system is the base - number system and uses the digits 0-6 The septenary Numeral system is the base - number system and uses the digits 0-6 The octal Numeral system, or oct for short is the base -8 number system and uses the digits 0 to 7 The octal Numeral system, or oct for short is the base -8 number system and uses the digits 0 to 7 Nonary is a base - Numeral system, typically using the digits 0-8 but not the digit 9 Nonary is a base - Numeral system, typically using the digits 0-8 but not the digit 9 The decimal ( base ten or occasionally denary) Numeral system has ten as its base. The decimal ( base ten or occasionally denary) Numeral system has ten as its base. The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. The duodecimal system (also known as base -12 or dozenal) is a Numeral system using twelve as its base. Base-13, tridecimal, or tredecimal is a positional Numeral system with thirteen as its base. In Mathematics and Computer science, hexadecimal (also base -, hexa, or hex) is a Numeral system with a In Mathematics and Computer science, hexadecimal (also base -, hexa, or hex) is a Numeral system with a The vigesimal or base - numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten The vigesimal or base - numeral system is based on twenty (in the same way in which the ordinary decimal numeral system is based on ten The base - system is a Numeral system with 24 as its base There are 24 hours in a day so our time keeping system includes a base-24 component The base - system is a Numeral system with 24 as its base There are 24 hours in a day so our time keeping system includes a base-24 component A Hexavigesimal Numeral system has a base of Twenty-six. Base 26 is a fairly natural way of representing numbers as text using the 26-letter Latin alphabet A Hexavigesimal Numeral system has a base of Twenty-six. Base 26 is a fairly natural way of representing numbers as text using the 26-letter Latin alphabet A Septemvigesimal Numeral system has a base of Twenty-seven. Septemvigesimal notation can be used as a concise representation of ternary data A Septemvigesimal Numeral system has a base of Twenty-seven. Septemvigesimal notation can be used as a concise representation of ternary data Base 30 or trigesimal is a positional numeral system using 30 as the Radix. Base 30 or trigesimal is a positional numeral system using 30 as the Radix. Base 32 or duotrigesimal is a Numeral system with 32 as its base Base 32 or duotrigesimal is a Numeral system with 32 as its base Base 36 is a positional numeral system using 36 as the Radix. Base 36 is a positional numeral system using 36 as the Radix. Base 36 is a positional numeral system using 36 as the Radix. Base 36 is a positional numeral system using 36 as the Radix. Sexagesimal ( base-sixty) is a Numeral system with sixty as the base. Sexagesimal ( base-sixty) is a Numeral system with sixty as the base. The base - system is a Numeral system with 64 as its base It is the largest power-of-two base that can be represented using single printable ASCII The base - system is a Numeral system with 64 as its base It is the largest power-of-two base that can be represented using single printable ASCII Mixed radix Numeral systems are Non-standard positional numeral systems in which the numerical base varies from position to position Golden ratio base is a non-standard positional numeral system that uses the Golden ratio (an irrational number ≈1 Golden ratio base is a non-standard positional numeral system that uses the Golden ratio (an irrational number ≈1 The quater-imaginary Numeral system was first proposed by Donald Knuth in 1955, in a submission to a high-school science talent search The quater-imaginary Numeral system was first proposed by Donald Knuth in 1955, in a submission to a high-school science talent search A numeral system (or system of numeration) is a Mathematical notation for representing numbers of a given set by symbols in a consistent manner

External links

What's Special About This Number? A Zoology of Numbers: from 0 to 500
See how to write big numbers
The MegaPenny Project - Visualizing big numbers
About big numbers
Robert P. Munafo's Large Numbers page
Different notations for big numbers - by Susan Stepney
Names for Large Numbers, in How Many? A Dictionary of Units of Measurement by Russ Rowlett

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