138507829376
138,507,829,376 is an even composite number composed of six prime numbers multiplied together.
138507829376 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 138507829376:
27 × 7 × 31 × 37 × 307 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 31 × 37 × 307 × 439)See below for interesting mathematical facts about the number 138507829376 from the Numbermatics database.
Names of 138507829376
- Cardinal: 138507829376 can be written as One hundred thirty-eight billion, five hundred seven million, eight hundred twenty-nine thousand, three hundred seventy-six.
Scientific notation
- Scientific notation: 1.38507829376 × 1011
Factors of 138507829376
Divisors of 138507829376
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 128 148 217 224 248 259 296 307 434 439 448 496 518 592 614 868 878 896 992 1036 1147 1184 1228 1736 1756 1984 2072 2149 2294 2368 2456 3073 3472 3512 3968 4144 4298 4588 4736 4912 6146 6944 7024 8029 8288 8596 9176 9517 9824 11359 12292 13609 13888 14048 16058 16243 16576 17192 18352 19034 19648 22718 24584 27218 27776 28096 32116 32486 33152 34384 36704 38068 39296 45436 49168 54436 56192 64232 64972 66619 68768 73408 76136 79513 90872 95263 98336 108872 113701 128464 129944 133238 134773 137536 146816 152272 159026 181744 190526 196672 217744 227402 256928 259888 266476 269546 275072 304544 318052 352129 363488 381052 393344 435488 454804 503533 513856 519776 532952 539092 609088 636104 704258 726976 762104 870976 909608 943411 1007066 1027712 1039552 1065904 1078184 1218176 1272208 1408516 1453952 1524208 1741952 1819216 1886822 2014132 2079104 2131808 2156368 2464903 2544416 2817032 3048416 3524731 3638432 3773644 4028264 4177963 4263616 4312736 4929806 4986601 5088832 5634064 6096832 7049462 7276864 7547288 8056528 8355926 8527232 8625472 9859612 9973202 10177664 11268128 12193664 14098924 14553728 15094576 16113056 16711852 17250944 19719224 19946404 22536256 28197848 29245741 30189152 32226112 33423704 34906207 39438448 39892808 45072512 56395696 58491482 60378304 64452224 66847408 69812414 78876896 79785616 112791392 116982964 120756608 133694816 139624828 154584631 157753792 159571232 225582784 233965928 267389632 279249656 309169262 315507584 319142464 451165568 467931856 534779264 558499312 618338524 638284928 935863712 1082092417 1116998624 1236677048 1871727424 2164184834 2233997248 2473354096 3743454848 4328369668 4467994496 4946708192 8656739336 9893416384 17313478672 19786832768 34626957344 69253914688 138507829376
- Sum of all divisors σ(n): 336176332800
- Sum of proper divisors (its aliquot sum) s(n): 197668503424
- 138507829376 is an abundant number, because the sum of its proper divisors (197668503424) is greater than itself. Its abundance is 59160674048
Bases of 138507829376
- Binary: 100000001111111011010111000000100000002
- Hexadecimal: 0x203FB5C080
- Base-36: 1RMNZH4W
Squares and roots of 138507829376
- 138507829376 squared (1385078293762) is 19184418798451128549376
- 138507829376 cubed (1385078293763) is 2657192205613595846191613399269376
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The
square root of 138507829376 is 372166.4001169369 -
The
cube root of 138507829376 is 5173.9803431985
Scales and comparisons
How big is 138507829376?- 138,507,829,376 seconds is equal to 4,404 years, 6 weeks, 1 day, 21 hours, 2 minutes, 56 seconds.
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To count from 1 to 138,507,829,376 would take you about eight thousand, eight hundred eight 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 138507829376 cubic inches would be around 431.2 feet tall.
Recreational maths with 138507829376
- 138507829376 backwards is 673928705831
- The number of decimal digits it has is: 12
- The sum of 138507829376's digits is 59
- More coming soon!
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