138031876752
138,031,876,752 is an even composite number composed of six prime numbers multiplied together.
What does the number 138031876752 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 480 divisors.
138031876752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138031876752:
24 × 3 × 7 × 113 × 292 × 367
(2 × 2 × 2 × 2 × 3 × 7 × 11 × 11 × 11 × 29 × 29 × 367)See below for interesting mathematical facts about the number 138031876752 from the Numbermatics database.
Names of 138031876752
- Cardinal: 138031876752 can be written as One hundred thirty-eight billion, thirty-one million, eight hundred seventy-six thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 1.38031876752 × 1011
Factors of 138031876752
Divisors of 138031876752
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 29 33 42 44 48 56 58 66 77 84 87 88 112 116 121 132 154 168 174 176 203 231 232 242 264 308 319 336 348 363 367 406 462 464 484 528 609 616 638 696 726 734 812 841 847 924 957 968 1101 1218 1232 1276 1331 1392 1452 1468 1624 1682 1694 1848 1914 1936 2202 2233 2436 2523 2541 2552 2569 2662 2904 2936 3248 3364 3388 3509 3696 3828 3993 4037 4404 4466 4872 5046 5082 5104 5138 5324 5808 5872 5887 6699 6728 6776 7018 7656 7707 7986 8074 8808 8932 9251 9317 9744 10092 10164 10276 10527 10643 10648 11774 12111 13398 13456 13552 14036 15312 15414 15972 16148 17616 17661 17864 18502 18634 20184 20328 20552 21054 21286 21296 23548 24222 24563 26796 27753 27951 28072 28259 30828 31929 31944 32296 35322 35728 37004 37268 38599 40368 40656 41104 42108 42572 44407 47096 48444 49126 53592 55506 55902 56144 56518 61656 63858 63888 64592 64757 70644 73689 74008 74501 74536 77198 84216 84777 85144 88814 94192 96888 98252 101761 107184 111012 111804 113036 115797 117073 123312 127716 129514 133221 141288 147378 148016 149002 149072 154396 168432 169554 170288 177628 193776 194271 196504 203522 222024 223503 223608 226072 231594 234146 255432 259028 266442 270193 282576 294756 298004 305283 308647 308792 310849 339108 351219 355256 388542 393008 407044 444048 447006 447216 452144 463188 468292 488477 510864 518056 532884 540386 589512 596008 610566 617294 617584 621698 678216 702438 710512 712327 777084 810579 814088 819511 894012 925941 926376 932547 936584 976954 1036112 1065768 1080772 1119371 1179024 1192016 1221132 1234588 1243396 1287803 1356432 1404876 1424654 1465431 1554168 1621158 1628176 1639022 1788024 1851882 1852752 1865094 1873168 1953908 2131536 2136981 2160529 2161544 2238742 2442264 2458533 2469176 2486792 2575606 2809752 2849308 2930862 3108336 3242316 3278044 3358113 3395117 3419339 3576048 3703764 3730188 3863409 3907816 4273962 4321058 4323088 4477484 4884528 4917066 4938352 4973584 5151212 5619504 5698616 5861724 6481587 6484632 6556088 6716226 6790234 6838678 7407528 7460376 7726818 7815632 7835597 8547924 8642116 8954968 9014621 9834132 10185351 10258017 10302424 11397232 11723448 12963174 12969264 13112176 13432452 13580468 13677356 14165833 14815056 14920752 15453636 15671194 17095848 17284232 17909936 18029242 19668264 20370702 20516034 20604848 23446896 23506791 23765819 25926348 26864904 27043863 27160936 27354712 28331666 30907272 31342388 34191696 34568464 36058484 37346287 39336528 40741404 41032068 42497499 47013582 47531638 51852696 53729808 54087726 54321872 54709424 56663332 61814544 62684776 71297457 72116968 74692574 81482808 82064136 84994998 94027164 95063276 99160831 103705392 108175452 112038861 113326664 125369552 142594914 144233936 149385148 162965616 164128272 169989996 188054328 190126552 198321662 216350904 224077722 226653328 261424009 285189828 297482493 298770296 339979992 376108656 380253104 396643324 410809157 432701808 448155444 522848018 570379656 594964986 597540592 679959984 784272027 793286648 821618314 896310888 1045696036 1140759312 1189929972 1232427471 1568544054 1586573296 1643236628 1792621776 2091392072 2379859944 2464854942 2875664099 3137088108 3286473256 4182784144 4759719888 4929709884 5751328198 6274176216 6572946512 8626992297 9859419768 11502656396 12548352432 17253984594 19718839536 23005312792 34507969188 46010625584 69015938376 138031876752
- Sum of all divisors σ(n): 465498968064
- Sum of proper divisors (its aliquot sum) s(n): 327467091312
- 138031876752 is an abundant number, because the sum of its proper divisors (327467091312) is greater than itself. Its abundance is 189435214560
Bases of 138031876752
- Binary: 100000001000110101011101001010100100002
- Hexadecimal: 0x2023574A90
- Base-36: 1RESM5QO
Squares and roots of 138031876752
- 138031876752 squared (1380318767522) is 19052798999679318069504
- 138031876752 cubed (1380318767523) is 2629893603304364519293182697771008
-
The
square root of 138031876752 is 371526.4146087059 -
The
cube root of 138031876752 is 5168.0471151455
Scales and comparisons
How big is 138031876752?- 138,031,876,752 seconds is equal to 4,388 years, 51 weeks, 2 days, 3 hours, 59 minutes, 12 seconds.
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To count from 1 to 138,031,876,752 would take you about eight thousand, seven hundred seventy-seven 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 138031876752 cubic inches would be around 430.7 feet tall.
Recreational maths with 138031876752
- 138031876752 backwards is 257678130831
- The number of decimal digits it has is: 12
- The sum of 138031876752's digits is 51
- More coming soon!
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