131878815939072

Names of 131878815939072

• Cardinal: 131878815939072 can be written as One hundred thirty-one trillion, eight hundred seventy-eight billion, eight hundred fifteen million, nine hundred thirty-nine thousand and seventy-two.

Scientific notation

• Scientific notation: 1.31878815939072 × 10¹⁴

Factors of 131878815939072

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 239

Divisors of 131878815939072

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 107 108 127 128 144 162 192 214 216 243 254 256 288 321 324 381 384 428 432 486 508 512 576 642 648 729 762 768 856 864 963 972 1016 1143 1152 1284 1296 1458 1524 1536 1712 1728 1926 1944 2032 2187 2286 2304 2568 2592 2889 2916 3048 3424 3429 3456 3852 3888 4064 4374 4572 4608 5136 5184 5778 5832 6096 6561 6848 6858 6912 7704 7776 8128 8667 8748 9144 10272 10287 10368 11449 11556 11664 12192 13122 13589 13696 13716 13824 15408 15552 16256 17334 17496 18288 19683 20544 20574 20736 22898 23112 23328 24384 26001 26244 27178 27392 27432 30816 30861 31104 32512 34347 34668 34992 36576 39366 40767 41088 41148 41472 45796 46224 46656 48768 52002 52488 54356 54784 54864 59049 61632 61722 62208 65024 68694 69336 69984 73152 78003 78732 81534 82176 82296 91592 92448 92583 93312 97536 103041 104004 104976 108712 109728 118098 122301 123264 123444 124416 137388 138672 139968 146304 156006 157464 163068 164352 164592 177147 183184 184896 185166 186624 195072 206082 208008 209952 217424 219456 234009 236196 244602 246528 246888 274776 277344 277749 279936 292608 309123 312012 314928 326136 329184 354294 366368 366903 369792 370332 373248 412164 416016 419904 434848 438912 468018 472392 489204 493056 493776 549552 554688 555498 559872 585216 618246 624024 629856 652272 658368 702027 708588 732736 733806 739584 740664 824328 832032 833247 839808 869696 877824 927369 936036 944784 978408 987552 1099104 1100709 1109376 1110996 1119744 1236492 1248048 1259712 1304544 1316736 1404054 1417176 1454023 1465472 1467612 1479168 1481328 1648656 1664064 1666494 1679616 1739392 1755648 1854738 1872072 1889568 1956816 1975104 2106081 2198208 2201418 2218752 2221992 2472984 2496096 2499741 2519424 2609088 2633472 2782107 2808108 2834352 2908046 2930944 2935224 2962656 3297312 3302127 3328128 3332988 3359232 3478784 3709476 3744144 3779136 3913632 3950208 4212162 4362069 4396416 4402836 4437504 4443984 4945968 4992192 4999482 5038848 5218176 5266944 5564214 5616216 5668704 5816092 5861888 5870448 5925312 6318243 6594624 6604254 6656256 6665976 6957568 7418952 7488288 7499223 7558272 7827264 7900416 8346321 8424324 8724138 8792832 8805672 8887968 9891936 9906381 9984384 9998964 10077696 10436352 11128428 11232432 11337408 11632184 11740896 11850624 12636486 13086207 13189248 13208508 13312512 13331952 14837904 14976576 14998446 15116544 15654528 15800832 16692642 16848648 17448276 17585664 17611344 17775936 18954729 19783872 19812762 19968768 19997928 20872704 22256856 22464864 22497669 22674816 23264368 23481792 23701248 25038963 25272972 26172414 26378496 26417016 26663904 29675808 29719143 29953152 29996892 30233088 31309056 33385284 33697296 34896552 35222688 35551872 37909458 39258621 39567744 39625524 39937536 39995856 44513712 44929728 44995338 45349632 46528736 46963584 47402496 50077926 50545944 52344828 52756992 52834032 53327808 59351616 59438286 59906304 59993784 62618112 66770568 67394592 69793104 70445376 71103744 75116889 75818916 78517242 79135488 79251048 79991712 89027424 89157429 89859456 89990676 90699264 93057472 93927168 100155852 101091888 104689656 105668064 106655616 117775863 118703232 118876572 119812608 119987568 133541136 134789184 139586208 140890752 142207488 150233778 151637832 157034484 158270976 158502096 159983424 178054848 178314858 179718912 179981352 186114944 187854336 200311704 202183776 209379312 211336128 213311232 225350667 235551726 237406464 237753144 239975136 267082272 267472287 269578368 279172416 281781504 300467556 303275664 314068968 317004192 319966848 353327589 356109696 356629716 359437824 359962704 372229888 400623408 404367552 418758624 422672256 426622464 450701334 471103452 474812928 475506288 479950272 534164544 534944574 539156736 558344832 563563008 600935112 606551328 628137936 634008384 639933696 676052001 706655178 712219392 713259432 719925408 744459776 801246816 802416861 808735104 837517248 845344512 901402668 942206904 951012576 959900544 1059982767 1068329088 1069889148 1078313472 1116689664 1201870224 1213102656 1256275872 1268016768 1279867392 1352104002 1413310356 1424438784 1426518864 1439850816 1602493632 1604833722 1617470208 1675034496 1690689024 1802805336 1884413808 1902025152 1919801088 2028156003 2119965534 2136658176 2139778296 2233379328 2403740448 2407250583 2426205312 2512551744 2536033536 2704208004 2826620712 2853037728 2879701632 3179948301 3204987264 3209667444 3234940416 3350068992 3605610672 3768827616 3804050304 3839602176 4056312006 4239931068 4273316352 4279556592 4807480896 4814501166 4852410624 5025103488 5072067072 5408416008 5653241424 5706075456 5759403264 6359896602 6409974528 6419334888 6700137984 7211221344 7537655232 7608100608 8112624012 8479862136 8559113184 9539844903 9614961792 9629002332 9704821248 10050206976 10816832016 11306482848 11412150912 11518806528 12719793204 12819949056 12838669776 14422442688 15075310464 15216201216 16225248024 16959724272 17118226368 19079689806 19229923584 19258004664 20100413952 21633664032 22612965696 22824301824 25439586408 25677339552 28619534709 28844885376 30150620928 32450496048 33919448544 34236452736 38159379612 38459847168 38516009328 43267328064 45225931392 45648603648 50879172816 51354679104 57239069418 57689770752 60301241856 64900992096 67838897088 68472905472 76318759224 77032018656 85858604127 86534656128 90451862784 101758345632 102709358208 114478138836 115379541504 129801984192 135677794176 136945810944 152637518448 154064037312 171717208254 173069312256 180903725568 203516691264 205418716416 228956277672 257575812381 259603968384 271355588352 305275036896 308128074624 343434416508 346138624512 407033382528 410837432832 457912555344 515151624762 519207936768 542711176704 610550073792 616256149248 686868833016 814066765056 915825110688 1030303249524 1038415873536 1221100147584 1232512298496 1373737666032 1628133530112 1831650221376 2060606499048 2442200295168 2747475332064 3663300442752 4121212998096 4884400590336 5494950664128 7326600885504 8242425996192 10989901328256 14653201771008 16484851992384 21979802656512 32969703984768 43959605313024 65939407969536 131878815939072
• Sum of all divisors σ(n): 402119339381760
• Sum of proper divisors (its aliquot sum) s(n): 270240523442688
• 131878815939072 is an abundant number, because the sum of its proper divisors (270240523442688) is greater than itself. Its abundance is 138361707503616

Bases of 131878815939072

• Binary: 11101111111000101101101111110100011101000000000₂
• Hexadecimal: 0x77F16DFA3A00
• Base-36: 1AQWAI0000

Squares and roots of 131878815939072

• 131878815939072 squared (131878815939072²) is 17392022093491631001216221184
• 131878815939072 cubed (131878815939072³) is 2293639280475856480237031716097936219701248
• The square root of 131878815939072 is 11483850.2227725001
• The cube root of 131878815939072 is 50900.8474607559

Scales and comparisons

• 131,878,815,939,072 seconds is equal to 4,193,338 years, 21 weeks, 5 days, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 131,878,815,939,072 would take you about ten million, four hundred eighty-three thousand, three hundred forty-six 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 131878815939072 cubic inches would be around 4241.7 feet tall.

Recreational maths with 131878815939072

• 131878815939072 backwards is 270939518878131
• 131878815939072 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131878815939072's digits is 72
• More coming soon!