138542976
138,542,976 is an even composite number composed of five prime numbers multiplied together.
138542976 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138542976:
27 × 32 × 11 × 13 × 292
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 13 × 29 × 29)See below for interesting mathematical facts about the number 138542976 from the Numbermatics database.
Names of 138542976
- Cardinal: 138542976 can be written as One hundred thirty-eight million, five hundred forty-two thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38542976 × 108
Factors of 138542976
Divisors of 138542976
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 29 32 33 36 39 44 48 52 58 64 66 72 78 87 88 96 99 104 116 117 128 132 143 144 156 174 176 192 198 208 232 234 261 264 286 288 312 319 348 352 377 384 396 416 429 464 468 522 528 572 576 624 638 696 704 754 792 832 841 858 928 936 957 1044 1056 1131 1144 1152 1248 1276 1287 1392 1408 1508 1584 1664 1682 1716 1856 1872 1914 2088 2112 2262 2288 2496 2523 2552 2574 2784 2871 3016 3168 3364 3393 3432 3712 3744 3828 4147 4176 4224 4524 4576 4992 5046 5104 5148 5568 5742 6032 6336 6728 6786 6864 7488 7569 7656 8294 8352 9048 9152 9251 10092 10208 10296 10933 11136 11484 12064 12441 12672 13456 13572 13728 14976 15138 15312 16588 16704 18096 18304 18502 20184 20416 20592 21866 22968 24128 24882 26912 27144 27456 27753 30276 30624 32799 33176 33408 36192 37004 37323 40368 40832 41184 43732 45936 48256 49764 53824 54288 54912 55506 60552 61248 65598 66352 72384 74008 74646 80736 82368 83259 87464 91872 98397 99528 107648 108576 111012 120263 121104 122496 131196 132704 144768 148016 149292 161472 164736 166518 174928 183744 196794 199056 217152 222024 240526 242208 262392 265408 296032 298584 322944 333036 349856 360789 367488 393588 398112 434304 444048 481052 484416 524784 530816 592064 597168 666072 699712 721578 787176 796224 888096 962104 968832 1049568 1082367 1184128 1194336 1332144 1399424 1443156 1574352 1592448 1776192 1924208 2099136 2164734 2388672 2664288 2886312 3148704 3552384 3848416 4198272 4329468 4777344 5328576 5772624 6297408 7696832 8658936 10657152 11545248 12594816 15393664 17317872 23090496 34635744 46180992 69271488 138542976
- Sum of all divisors σ(n): 485077320
- Sum of proper divisors (its aliquot sum) s(n): 346534344
- 138542976 is an abundant number, because the sum of its proper divisors (346534344) is greater than itself. Its abundance is 207991368
Bases of 138542976
- Binary: 10000100000111111111100000002
- Hexadecimal: 0x841FF80
- Base-36: 2AHGG0
Squares and roots of 138542976
- 138542976 squared (1385429762) is 19194156198936576
- 138542976 cubed (1385429763) is 2659215521609521274290176
-
The
square root of 138542976 is 11770.4280296003 -
The
cube root of 138542976 is 517.4417941957
Scales and comparisons
How big is 138542976?- 138,542,976 seconds is equal to 4 years, 21 weeks, 12 hours, 9 minutes, 36 seconds.
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To count from 1 to 138,542,976 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 138542976 cubic inches would be around 43.1 feet tall.
Recreational maths with 138542976
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The information we have on file for 138542976 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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