137629128
137,629,128 is an even composite number composed of seven prime numbers multiplied together.
137629128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 137629128:
23 × 3 × 7 × 13 × 29 × 41 × 53
(2 × 2 × 2 × 3 × 7 × 13 × 29 × 41 × 53)See below for interesting mathematical facts about the number 137629128 from the Numbermatics database.
Names of 137629128
- Cardinal: 137629128 can be written as One hundred thirty-seven million, six hundred twenty-nine thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37629128 × 108
Factors of 137629128
Divisors of 137629128
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 41 42 52 53 56 58 78 82 84 87 91 104 106 116 123 156 159 164 168 174 182 203 212 232 246 273 287 312 318 328 348 364 371 377 406 424 492 533 546 574 609 636 689 696 728 742 754 812 861 984 1066 1092 1113 1131 1148 1189 1218 1272 1378 1484 1508 1537 1599 1624 1722 2067 2132 2173 2184 2226 2262 2296 2378 2436 2639 2756 2968 3016 3074 3198 3444 3567 3731 4134 4264 4346 4452 4524 4611 4756 4823 4872 5278 5512 6148 6396 6519 6888 7134 7462 7917 8268 8323 8692 8904 9048 9222 9512 9646 10556 10759 11193 12296 12792 13038 14268 14469 14924 15211 15457 15834 16536 16646 17384 18444 19292 19981 21112 21518 22386 24969 26076 28249 28536 28938 29848 30422 30914 31668 32277 33292 36888 38584 39962 43036 44772 45633 46371 49938 52152 56498 57876 59943 60844 61828 63017 63336 64554 66584 79924 84747 86072 89544 91266 92742 99876 108199 112996 115752 119886 121688 123656 126034 129108 139867 159848 169494 182532 185484 189051 197743 199752 216398 225992 239772 252068 258216 279734 324597 338988 365064 370968 378102 395486 419601 432796 441119 479544 504136 559468 593229 649194 677976 756204 790972 819221 839202 865592 882238 1118936 1186458 1298388 1323357 1512408 1581944 1638442 1678404 1764476 2372916 2457663 2596776 2646714 3276884 3356808 3528952 4745832 4915326 5293428 5734547 6553768 9830652 10586856 11469094 17203641 19661304 22938188 34407282 45876376 68814564 137629128
- Sum of all divisors σ(n): 457228800
- Sum of proper divisors (its aliquot sum) s(n): 319599672
- 137629128 is an abundant number, because the sum of its proper divisors (319599672) is greater than itself. Its abundance is 181970544
Bases of 137629128
- Binary: 10000011010000001101110010002
- Hexadecimal: 0x8340DC8
- Base-36: 29XVBC
Squares and roots of 137629128
- 137629128 squared (1376291282) is 18941776874040384
- 137629128 cubed (1376291283) is 2606940233944743886705152
-
The
square root of 137629128 is 11731.5441438883 -
The
cube root of 137629128 is 516.3015784091
Scales and comparisons
How big is 137629128?- 137,629,128 seconds is equal to 4 years, 19 weeks, 3 days, 22 hours, 18 minutes, 48 seconds.
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To count from 1 to 137,629,128 would take you about six years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 137629128 cubic inches would be around 43 feet tall.
Recreational maths with 137629128
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