138763680768
138,763,680,768 is an even composite number composed of five prime numbers multiplied together.
138763680768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred fifty-two divisors.
Prime factorization of 138763680768:
210 × 33 × 53 × 281 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 53 × 281 × 337)See below for interesting mathematical facts about the number 138763680768 from the Numbermatics database.
Names of 138763680768
- Cardinal: 138763680768 can be written as One hundred thirty-eight billion, seven hundred sixty-three million, six hundred eighty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.38763680768 × 1011
Factors of 138763680768
Divisors of 138763680768
- Number of divisors d(n): 352
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 256 281 288 318 337 384 424 432 477 512 562 576 636 674 768 843 848 864 954 1011 1024 1124 1152 1272 1348 1431 1536 1686 1696 1728 1908 2022 2248 2304 2529 2544 2696 2862 3033 3072 3372 3392 3456 3816 4044 4496 4608 5058 5088 5392 5724 6066 6744 6784 6912 7587 7632 8088 8992 9099 9216 10116 10176 10784 11448 12132 13488 13568 13824 14893 15174 15264 16176 17861 17984 18198 20232 20352 21568 22896 24264 26976 27136 27648 29786 30348 30528 32352 35722 35968 36396 40464 40704 43136 44679 45792 48528 53583 53952 54272 59572 60696 61056 64704 71444 71936 72792 80928 81408 86272 89358 91584 94697 97056 107166 107904 119144 121392 122112 129408 134037 142888 143872 145584 160749 161856 162816 172544 178716 183168 189394 194112 214332 215808 238288 242784 244224 258816 268074 284091 285776 287744 291168 321498 323712 345088 357432 366336 378788 388224 402111 428664 431616 476576 482247 485568 488448 517632 536148 568182 571552 582336 642996 647424 714864 732672 757576 776448 804222 852273 857328 863232 953152 964494 971136 1035264 1072296 1136364 1143104 1164672 1285992 1294848 1429728 1465344 1515152 1552896 1608444 1704546 1714656 1906304 1928988 1942272 2144592 2272728 2286208 2329344 2556819 2571984 2589696 2859456 3030304 3105792 3216888 3409092 3429312 3812608 3857976 3884544 4289184 4545456 4572416 4658688 5018941 5113638 5143968 5718912 6060608 6433776 6818184 6858624 7625216 7715952 7769088 8578368 9090912 9144832 9317376 10037882 10227276 10287936 11437824 12121216 12867552 13636368 13717248 15056823 15250432 15431904 17156736 18181824 18289664 20075764 20454552 20575872 22875648 24242432 25735104 27272736 27434496 30113646 30863808 34313472 36363648 40151528 40909104 41151744 45170469 45751296 48484864 51470208 54545472 54868992 60227292 61727616 68626944 72727296 80303056 81818208 82303488 90340938 96969728 102940416 109090944 120454584 123455232 135511407 137253888 145454592 160606112 163636416 164606976 180681876 205880832 218181888 240909168 246910464 271022814 290909184 321212224 327272832 361363752 411761664 436363776 481818336 493820928 542045628 642424448 654545664 722727504 872727552 963636672 1084091256 1284848896 1309091328 1445455008 1927273344 2168182512 2569697792 2618182656 2890910016 3854546688 4336365024 5139395584 5781820032 7709093376 8672730048 11563640064 15418186752 17345460096 23127280128 34690920192 46254560256 69381840384 138763680768
- Sum of all divisors σ(n): 421441600320
- Sum of proper divisors (its aliquot sum) s(n): 282677919552
- 138763680768 is an abundant number, because the sum of its proper divisors (282677919552) is greater than itself. Its abundance is 143914238784
Bases of 138763680768
- Binary: 100000010011101111010110111100000000002
- Hexadecimal: 0x204EF5BC00
- Base-36: 1RQWB9C0
Squares and roots of 138763680768
- 138763680768 squared (1387636807682) is 19255359100283413069824
- 138763680768 cubed (1387636807683) is 2671944503264931229546536429944832
-
The
square root of 138763680768 is 372509.9740517023 -
The
cube root of 138763680768 is 5177.1641724113
Scales and comparisons
How big is 138763680768?- 138,763,680,768 seconds is equal to 4,412 years, 13 weeks, 2 days, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 138,763,680,768 would take you about eight thousand, eight hundred twenty-four 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 138763680768 cubic inches would be around 431.4 feet tall.
Recreational maths with 138763680768
- 138763680768 backwards is 867086367831
- The number of decimal digits it has is: 12
- The sum of 138763680768's digits is 63
- More coming soon!
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