138393926944
138,393,926,944 is an even composite number composed of six prime numbers multiplied together.
138393926944 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 138393926944:
25 × 72 × 132 × 17 × 31 × 991
(2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 17 × 31 × 991)See below for interesting mathematical facts about the number 138393926944 from the Numbermatics database.
Names of 138393926944
- Cardinal: 138393926944 can be written as One hundred thirty-eight billion, three hundred ninety-three million, nine hundred twenty-six thousand, nine hundred forty-four.
Scientific notation
- Scientific notation: 1.38393926944 × 1011
Factors of 138393926944
Divisors of 138393926944
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 4 7 8 13 14 16 17 26 28 31 32 34 49 52 56 62 68 91 98 104 112 119 124 136 169 182 196 208 217 221 224 238 248 272 338 364 392 403 416 434 442 476 496 527 544 637 676 728 784 806 833 868 884 952 991 992 1054 1183 1274 1352 1456 1519 1547 1568 1612 1666 1736 1768 1904 1982 2108 2366 2548 2704 2821 2873 2912 3038 3094 3224 3332 3472 3536 3689 3808 3964 4216 4732 5096 5239 5408 5642 5746 6076 6188 6448 6664 6851 6937 6944 7072 7378 7928 8281 8432 9464 10192 10478 10829 11284 11492 12152 12376 12883 12896 13328 13702 13874 14756 15856 16562 16847 16864 18928 19747 20111 20384 20956 21658 22568 22984 24304 24752 25766 25823 26656 27404 27748 29512 30721 31712 33124 33694 36673 37856 39494 40222 41912 43316 45136 45968 47957 48559 48608 49504 51532 51646 54808 55496 59024 61442 66248 67388 73346 78988 80444 83824 86632 89063 90181 90272 91936 95914 97118 103064 103292 109616 110992 117929 118048 122884 132496 134776 140777 146692 157976 160888 167479 167648 173264 178126 180362 191828 194236 206128 206584 215047 219011 219232 221984 235858 245768 256711 264992 269552 281554 293384 315952 321776 334958 335699 346528 356252 360724 383656 388472 399373 412256 413168 430094 438022 471716 491536 513422 522257 539104 563108 586768 623441 631267 631904 643552 669916 671398 712504 721448 767312 776944 798746 825503 826336 860188 876044 943432 983072 1026844 1044514 1126216 1172353 1173536 1246882 1262534 1339832 1342796 1425008 1442896 1505329 1533077 1534624 1553888 1597492 1651006 1720376 1752088 1886864 2053688 2089028 2252432 2344706 2493764 2525068 2679664 2685592 2795611 2847143 2850016 2885792 3010658 3066154 3194984 3302012 3440752 3504176 3655799 3773728 4107376 4178056 4364087 4504864 4689412 4987528 5050136 5191849 5359328 5371184 5591222 5694286 6021316 6132308 6389968 6604024 6789341 6881504 7008352 7311598 8206471 8214752 8356112 8728174 9378824 9975056 10100272 10383698 10731539 10742368 11182444 11388572 12042632 12264616 12779936 13208048 13578682 14623196 16412942 16712224 17456348 18757648 19569277 19930001 19950112 20200544 20767396 21463078 22364888 22777144 24085264 24529232 25590593 26416096 27157364 29246392 32825884 34912696 36342943 37515296 39138554 39860002 41534792 42926156 44729776 45554288 47525387 48170528 49058464 51181186 54314728 58492784 65651768 69825392 72685886 78277108 79720004 83069584 85852312 88261433 89459552 91108576 95050774 102362372 108629456 116985568 131303536 139510007 139650784 145371772 156554216 159440008 166139168 171704624 176522866 190101548 204724744 217258912 254400601 262607072 279020014 290743544 313108432 318880016 332677709 343409248 353045732 380203096 409449488 508801202 558040028 581487088 617830031 626216864 637760032 665355418 706091464 760406192 818898976 1017602404 1116080056 1162974176 1235660062 1330710836 1412182928 1520812384 2035204808 2232160112 2471320124 2661421672 2824365856 4070409616 4324810217 4464320224 4942640248 5322843344 8140819232 8649620434 9885280496 10645686688 17299240868 19770560992 34598481736 69196963472 138393926944
- Sum of all divisors σ(n): 375491966976
- Sum of proper divisors (its aliquot sum) s(n): 237098040032
- 138393926944 is an abundant number, because the sum of its proper divisors (237098040032) is greater than itself. Its abundance is 98704113088
Bases of 138393926944
- Binary: 100000001110001110101110111101001000002
- Hexadecimal: 0x2038EBBD20
- Base-36: 1RKS65GG
Squares and roots of 138393926944
- 138393926944 squared (1383939269442) is 19152879014981209179136
- 138393926944 cubed (1383939269443) is 2650642139166580144670129793040384
-
The
square root of 138393926944 is 372013.3424273919 -
The
cube root of 138393926944 is 5172.5616735433
Scales and comparisons
How big is 138393926944?- 138,393,926,944 seconds is equal to 4,400 years, 25 weeks, 6 days, 13 hours, 29 minutes, 4 seconds.
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To count from 1 to 138,393,926,944 would take you about eight thousand, eight hundred 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 138393926944 cubic inches would be around 431 feet tall.
Recreational maths with 138393926944
- 138393926944 backwards is 449629393831
- The number of decimal digits it has is: 12
- The sum of 138393926944's digits is 61
- More coming soon!
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