137638872
137,638,872 is an even composite number composed of six prime numbers multiplied together.
137638872 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 137638872:
23 × 33 × 7 × 29 × 43 × 73
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 29 × 43 × 73)See below for interesting mathematical facts about the number 137638872 from the Numbermatics database.
Names of 137638872
- Cardinal: 137638872 can be written as One hundred thirty-seven million, six hundred thirty-eight thousand, eight hundred seventy-two.
Scientific notation
- Scientific notation: 1.37638872 × 108
Factors of 137638872
Divisors of 137638872
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 43 54 56 58 63 72 73 84 86 87 108 116 126 129 146 168 172 174 189 203 216 219 232 252 258 261 292 301 344 348 378 387 406 438 504 511 516 522 584 602 609 657 696 756 774 783 812 876 903 1022 1032 1044 1161 1204 1218 1247 1314 1512 1533 1548 1566 1624 1752 1806 1827 1971 2044 2088 2117 2322 2408 2436 2494 2628 2709 3066 3096 3132 3139 3612 3654 3741 3942 4088 4234 4599 4644 4872 4988 5256 5418 5481 6132 6264 6278 6351 7224 7308 7482 7884 8127 8468 8729 9198 9288 9417 9976 10836 10962 11223 12264 12556 12702 13797 14616 14819 14964 15768 16254 16936 17458 18396 18834 19053 21672 21924 21973 22446 25112 25404 26187 27594 28251 29638 29928 32508 33669 34916 36792 37668 38106 43848 43946 44457 44892 50808 52374 55188 56502 57159 59276 65016 65919 67338 69832 75336 76212 78561 84753 87892 88914 89784 91031 104748 110376 113004 114318 118552 131838 133371 134676 152424 157122 169506 175784 177828 182062 197757 209496 226008 228636 235683 263676 266742 269352 273093 314244 339012 355656 364124 395514 400113 457272 471366 527352 533484 546186 593271 628488 637217 678024 728248 791028 800226 819279 942732 1066968 1092372 1186542 1274434 1582056 1600452 1638558 1885464 1911651 2184744 2373084 2457837 2548868 3200904 3277116 3823302 4746168 4915674 5097736 5734953 6554232 7646604 9831348 11469906 15293208 17204859 19662696 22939812 34409718 45879624 68819436 137638872
- Sum of all divisors σ(n): 468864000
- Sum of proper divisors (its aliquot sum) s(n): 331225128
- 137638872 is an abundant number, because the sum of its proper divisors (331225128) is greater than itself. Its abundance is 193586256
Bases of 137638872
- Binary: 10000011010000110011110110002
- Hexadecimal: 0x83433D8
- Base-36: 29Y2U0
Squares and roots of 137638872
- 137638872 squared (1376388722) is 18944459085432384
- 137638872 cubed (1376388723) is 2607493979169064966030848
-
The
square root of 137638872 is 11731.9594271375 -
The
cube root of 137638872 is 516.3137626611
Scales and comparisons
How big is 137638872?- 137,638,872 seconds is equal to 4 years, 19 weeks, 4 days, 1 hour, 1 minute, 12 seconds.
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To count from 1 to 137,638,872 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 137638872 cubic inches would be around 43 feet tall.
Recreational maths with 137638872
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