138707738624
138,707,738,624 is an even composite number composed of five prime numbers multiplied together.
What does the number 138707738624 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 336 divisors.
138707738624 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 138707738624:
213 × 72 × 13 × 19 × 1399
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 19 × 1399)See below for interesting mathematical facts about the number 138707738624 from the Numbermatics database.
Names of 138707738624
- Cardinal: 138707738624 can be written as One hundred thirty-eight billion, seven hundred seven million, seven hundred thirty-eight thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38707738624 × 1011
Factors of 138707738624
Divisors of 138707738624
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 91 98 104 112 128 133 152 182 196 208 224 247 256 266 304 364 392 416 448 494 512 532 608 637 728 784 832 896 931 988 1024 1064 1216 1274 1399 1456 1568 1664 1729 1792 1862 1976 2048 2128 2432 2548 2798 2912 3136 3328 3458 3584 3724 3952 4096 4256 4864 5096 5596 5824 6272 6656 6916 7168 7448 7904 8192 8512 9728 9793 10192 11192 11648 12103 12544 13312 13832 14336 14896 15808 17024 18187 19456 19586 20384 22384 23296 24206 25088 26581 26624 27664 28672 29792 31616 34048 36374 38912 39172 40768 44768 46592 48412 50176 53162 53248 55328 57344 59584 63232 68096 68551 72748 77824 78344 81536 89536 93184 96824 100352 106324 106496 110656 119168 126464 127309 136192 137102 145496 155648 156688 163072 179072 186067 186368 193648 200704 212648 221312 238336 252928 254618 272384 274204 290992 313376 326144 345553 358144 372134 372736 387296 401408 425296 442624 476672 505856 509236 544768 548408 581984 626752 652288 691106 716288 744268 745472 774592 850592 885248 891163 953344 1011712 1018472 1089536 1096816 1163968 1253504 1302469 1304576 1382212 1432576 1488536 1549184 1701184 1770496 1782326 1906688 2023424 2036944 2193632 2327936 2418871 2507008 2604938 2609152 2764424 2865152 2977072 3098368 3402368 3540992 3564652 3813376 4073888 4387264 4655872 4837742 5014016 5209876 5218304 5528848 5730304 5954144 6196736 6804736 7081984 7129304 7626752 8147776 8774528 9311744 9675484 10028032 10419752 11057696 11460608 11908288 12393472 13609472 14163968 14258608 16295552 16932097 17549056 18623488 19350968 20056064 20839504 22115392 23816576 24786944 27218944 28517216 32591104 33864194 35098112 37246976 38701936 40112128 41679008 44230784 47633152 49573888 54437888 57034432 65182208 67728388 70196224 74493952 77403872 80224256 83358016 88461568 95266304 99147776 108875776 114068864 130364416 135456776 140392448 148987904 154807744 166716032 176923136 190532608 217751552 228137728 260728832 270913552 280784896 309615488 333432064 353846272 381065216 456275456 521457664 541827104 561569792 619230976 666864128 707692544 762130432 912550912 1042915328 1083654208 1238461952 1333728256 1415385088 1524260864 1825101824 2167308416 2476923904 2667456512 2830770176 3650203648 4334616832 4953847808 5334913024 7300407296 8669233664 9907695616 10669826048 17338467328 19815391232 34676934656 69353869312 138707738624
- Sum of all divisors σ(n): 366061752000
- Sum of proper divisors (its aliquot sum) s(n): 227354013376
- 138707738624 is an abundant number, because the sum of its proper divisors (227354013376) is greater than itself. Its abundance is 88646274752
Bases of 138707738624
- Binary: 100000010010111010000000100000000000002
- Hexadecimal: 0x204BA02000
- Base-36: 1RPZ083K
Squares and roots of 138707738624
- 138707738624 squared (1387077386242) is 19239836754183901413376
- 138707738624 cubed (1387077386243) is 2668714247667769135675142385434624
-
The
square root of 138707738624 is 372434.8783666749 -
The
cube root of 138707738624 is 5176.4683597151
Scales and comparisons
How big is 138707738624?- 138,707,738,624 seconds is equal to 4,410 years, 24 weeks, 5 days, 15 hours, 23 minutes, 44 seconds.
-
To count from 1 to 138,707,738,624 would take you about eight thousand, eight hundred twenty 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 138707738624 cubic inches would be around 431.4 feet tall.
Recreational maths with 138707738624
- 138707738624 backwards is 426837707831
- 138707738624 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138707738624's digits is 56
- More coming soon!
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