138868097984

Names of 138868097984

• Cardinal: 138868097984 can be written as One hundred thirty-eight billion, eight hundred sixty-eight million, ninety-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38868097984 × 10¹¹

Factors of 138868097984

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 181

Divisors of 138868097984

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 4 7 8 11 14 16 22 28 31 32 44 49 56 59 62 64 71 77 88 98 112 118 124 142 154 176 196 217 224 236 248 284 308 341 352 392 413 434 448 472 496 497 539 568 616 649 682 704 781 784 826 868 944 961 992 994 1078 1136 1232 1298 1364 1519 1562 1568 1652 1736 1829 1888 1922 1984 1988 2156 2201 2272 2387 2464 2596 2728 2891 3038 3124 3136 3304 3472 3479 3658 3776 3844 3976 4189 4312 4402 4543 4544 4774 4928 5192 5456 5467 5782 6076 6248 6608 6727 6944 6958 7316 7688 7952 8378 8624 8804 9086 9548 10384 10571 10912 10934 11564 12152 12496 12803 13216 13454 13888 13916 14632 15376 15407 15904 16709 16756 17248 17608 18172 19096 20119 20768 21142 21824 21868 23128 24211 24304 24992 25606 26432 26908 27832 29264 29323 30752 30814 31801 31808 33418 33512 34496 35216 36344 38192 38269 40238 41536 42284 43736 46079 46256 47089 48422 48608 49984 51212 53816 55664 56699 58528 58646 61504 61628 63602 66836 67024 68231 70432 72688 73997 76384 76538 80476 84568 87472 89621 92158 92512 94178 96844 97216 102424 107632 107849 111328 113398 117056 117292 123256 127204 129859 133672 134048 136462 140833 140864 145376 147994 152768 153076 160952 169136 169477 174944 179242 184316 185024 188356 193688 204848 205261 215264 215698 222656 226796 234584 246512 254408 259718 267344 268096 272924 281666 290752 295988 306152 321904 322553 338272 338954 349888 358484 368632 376712 387376 396893 409696 410522 430528 431396 453592 469168 477617 493024 508816 517979 519436 534688 545848 563332 591976 612304 623689 643808 645106 676544 677908 716968 737264 750541 753424 774752 793786 819392 821044 862792 907184 909013 938336 955234 985831 986048 1017632 1035958 1038872 1069376 1091696 1126664 1183952 1186339 1224608 1247378 1287616 1290212 1355816 1428449 1433936 1474528 1501082 1506848 1549504 1587572 1642088 1725584 1814368 1818026 1876672 1910468 1971662 2035264 2071916 2077744 2183392 2253328 2257871 2367904 2372678 2449216 2494756 2580424 2711632 2778251 2856898 2867872 2949056 3002164 3013696 3175144 3284176 3343319 3451168 3628736 3636052 3820936 3943324 4025629 4143832 4155488 4365823 4366784 4506656 4515742 4735808 4745356 4989512 5160848 5253787 5423264 5556502 5713796 5735744 6004328 6350288 6363091 6568352 6686638 6902336 7272104 7641872 7886648 8051258 8287664 8310976 8731646 9013312 9031484 9490712 9979024 9999143 10321696 10507574 10846528 11113004 11427592 12008656 12700576 12726182 13136704 13373276 14544208 15283744 15773296 16102516 16575328 17463292 18062968 18981424 19958048 19998286 20643392 21015148 22226008 22855184 24017312 25401152 25452364 26746552 28179403 29088416 30560761 30567488 31546592 32205032 33150656 34926584 36125936 36776509 37962848 39916096 39996572 42030296 44281919 44452016 45710368 48034624 50904728 53493104 56358806 58176832 61121522 63093184 64410064 69853168 69994001 72251872 73553018 75925696 79993144 84060592 88563838 88904032 91420736 101809456 106986208 112717612 122243044 128820128 139706336 139988002 144503744 147106036 159986288 168121184 177127676 177808064 197255821 203618912 213972416 225435224 244486088 257640256 279412672 279976004 294212072 309973433 319972576 336242368 354255352 394511642 407237824 450870448 488972176 559952008 588424144 619946866 639945152 708510704 789023284 901740896 977944352 1119904016 1176848288 1239893732 1417021408 1578046568 1803481792 1955888704 2169814031 2239808032 2353696576 2479787464 2834042816 3156093136 4339628062 4479616064 4959574928 6312186272 8679256124 9919149856 12624372544 17358512248 19838299712 34717024496 69434048992 138868097984
• Sum of all divisors σ(n): 372642871680
• Sum of proper divisors (its aliquot sum) s(n): 233774773696
• 138868097984 is an abundant number, because the sum of its proper divisors (233774773696) is greater than itself. Its abundance is 94906675712

Bases of 138868097984

• Binary: 10000001010101001011110000001111000000₂
• Hexadecimal: 0x20552F03C0
• Base-36: 1RSMHA68

Squares and roots of 138868097984

• 138868097984 squared (138868097984²) is 19284348637693824864256
• 138868097984 cubed (138868097984³) is 2677980816176882987041237707259904
• The square root of 138868097984 is 372650.1012800077
• The cube root of 138868097984 is 5178.4624216593

Scales and comparisons

• 138,868,097,984 seconds is equal to 4,415 years, 29 weeks, 6 days, 15 hours, 39 minutes, 44 seconds.
• To count from 1 to 138,868,097,984 would take you about eight thousand, eight hundred thirty-one 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 138868097984 cubic inches would be around 431.5 feet tall.

Recreational maths with 138868097984

• 138868097984 backwards is 489790868831
• 138868097984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138868097984's digits is 71
• More coming soon!