131976116857728

Names of 131976116857728

• Cardinal: 131976116857728 can be written as One hundred thirty-one trillion, nine hundred seventy-six billion, one hundred sixteen million, eight hundred fifty-seven thousand, seven hundred twenty-eight.

Scientific notation

• Scientific notation: 1.31976116857728 × 10¹⁴

Factors of 131976116857728

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 24276910

Divisors of 131976116857728

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 88 96 99 104 108 117 121 128 132 143 144 156 176 192 198 208 216 234 242 264 286 288 297 312 351 352 363 384 396 416 429 432 468 484 528 572 576 594 624 702 704 726 792 832 858 864 936 968 1056 1089 1144 1152 1188 1248 1287 1404 1408 1452 1573 1584 1664 1716 1728 1872 1936 2112 2178 2288 2376 2496 2574 2808 2904 3146 3168 3267 3432 3456 3744 3861 3872 4224 4356 4576 4719 4752 4992 5148 5616 5808 6292 6336 6534 6864 7488 7722 7744 8712 9152 9438 9504 10296 11232 11616 12584 12672 13068 13728 14157 14976 15444 15488 17424 18304 18876 19008 20592 22464 23232 25168 26136 27456 28314 30888 34848 37752 38016 41184 42471 44928 46464 50336 52272 54912 56628 61776 69696 75504 82368 84942 100672 104544 113256 123552 139392 151008 164736 169884 201344 209088 226512 247104 302016 339768 418176 453024 494208 604032 679536 906048 1359072 1812096 2718144 5436288 24276881 48553762 72830643 97107524 145661286 194215048 218491929 267045691 291322572 315599453 388430096 436983858 534091382 582645144 631198906 655475787 776860192 801137073 873967716 946798359 1068182764 1165290288 1262397812 1310951574 1553720384 1602274146 1747935432 1893596718 2136365528 2330580576 2403411219 2524795624 2621903148 2840395077 2937502601 3107440768 3204548292 3471593983 3495870864 3787193436 4272731056 4661161152 4806822438 5049591248 5243806296 5680790154 5875005202 6409096584 6943187966 6991741728 7210233657 7574386872 8521185231 8545462112 8812507803 9322322304 9613644876 10099182496 10414781949 10487612592 11361580308 11750010404 12818193168 13886375932 13983483456 14420467314 15148773744 17042370462 17090924224 17625015606 19227289752 20198364992 20829563898 20975225184 22723160616 23500020808 25636386336 26437523409 27772751864 27966966912 28840934628 30297547488 31244345847 34084740924 34181848448 35250031212 38187533813 38454579504 40396729984 41659127796 41950450368 45446321232 47000041616 51272772672 52875046818 55545503728 57681869256 60595094976 62488691694 68169481848 70500062424 76375067626 76909159008 79312570227 83318255592 83900900736 90892642464 93733037541 94000083232 102545545344 105750093636 111091007456 114562601439 115363738512 121190189952 124977383388 136338963696 141000124848 152750135252 153818318016 158625140454 166636511184 181785284928 187466075082 188000166464 211500187272 222182014912 229125202878 230727477024 249954766776 272677927392 282000249696 305500270504 307636636032 317250280908 333273022368 343687804317 363570569856 374932150164 376000332928 423000374544 444364029824 458250405756 461454954048 499909533552 545355854784 564000499392 611000541008 634500561816 666546044736 687375608634 749864300328 846000749088 916500811512 922909908096 999819067104 1031063412951 1090711709568 1128000998784 1222001082016 1269001123632 1333092089472 1374751217268 1499728600656 1692001498176 1833001623024 1999638134208 2062126825902 2444002164032 2538002247264 2749502434536 2999457201312 3384002996352 3666003246048 3999276268416 4124253651804 4888004328064 5076004494528 5499004869072 5998914402624 7332006492096 8248507303608 10152008989056 10998009738144 11997828805248 14664012984192 16497014607216 21996019476288 32994029214432 43992038952576 65988058428864 131976116857728
• Sum of all divisors σ(n): 461076253696800
• Sum of proper divisors (its aliquot sum) s(n): 329100136839072
• 131976116857728 is an abundant number, because the sum of its proper divisors (329100136839072) is greater than itself. Its abundance is 197124019981344

Bases of 131976116857728

• Binary: 11110000000100000010101100100000110101110000000₂
• Hexadecimal: 0x780815906B80
• Base-36: 1AS4ZOGDC0

Squares and roots of 131976116857728

• 131976116857728 squared (131976116857728²) is 17417695420844676784593321984
• 131976116857728 cubed (131976116857728³) is 2298719806253710939236258204081395022692352
• The square root of 131976116857728 is 11488085.8657013875
• The cube root of 131976116857728 is 50913.3626921045

Scales and comparisons

• 131,976,116,857,728 seconds is equal to 4,196,432 years, 14 weeks, 6 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 131,976,116,857,728 would take you about ten million, four hundred ninety-one thousand and eighty 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 131976116857728 cubic inches would be around 4242.8 feet tall.

Recreational maths with 131976116857728

• 131976116857728 backwards is 827758611679131
• 131976116857728 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131976116857728's digits is 72
• More coming soon!