131391998385984

Names of 131391998385984

• Cardinal: 131391998385984 can be written as One hundred thirty-one trillion, three hundred ninety-one billion, nine hundred ninety-eight million, three hundred eighty-five thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.31391998385984 × 10¹⁴

Factors of 131391998385984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 721

Divisors of 131391998385984

• Number of divisors d(n): 756
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 81 84 96 98 108 112 126 144 147 162 168 189 192 196 216 224 243 252 288 294 324 336 343 378 392 432 441 448 486 504 567 576 588 648 672 686 709 756 784 864 882 972 1008 1029 1134 1176 1296 1323 1344 1372 1418 1512 1568 1701 1728 1764 1944 2016 2058 2127 2268 2352 2401 2592 2646 2744 2836 3024 3087 3136 3402 3528 3888 3969 4032 4116 4254 4536 4704 4802 4963 5184 5292 5488 5672 6048 6174 6381 6804 7056 7203 7776 7938 8232 8508 9072 9261 9408 9604 9926 10584 10976 11344 11907 12096 12348 12762 13608 14112 14406 14889 15552 15876 16464 16807 17016 18144 18522 19143 19208 19852 21168 21609 21952 22688 23814 24696 25524 27216 27783 28224 28812 29778 31752 32928 33614 34032 34741 36288 37044 38286 38416 39704 42336 43218 44667 45376 47628 49392 50421 51048 54432 55566 57429 57624 59556 63504 64827 65856 67228 68064 69482 74088 76572 76832 79408 83349 84672 86436 89334 95256 98784 100842 102096 104223 108864 111132 114858 115248 119112 127008 129654 134001 134456 136128 138964 148176 151263 153144 153664 158816 166698 172287 172872 178668 190512 194481 197568 201684 204192 208446 222264 229716 230496 238224 243187 254016 259308 268002 268912 277928 296352 302526 306288 312669 317632 333396 344574 345744 357336 381024 388962 402003 403368 408384 416892 444528 453789 459432 460992 476448 486374 502681 518616 536004 537824 555856 583443 592704 605052 612576 625338 666792 689148 691488 714672 729561 762048 777924 804006 806736 833784 889056 907578 918864 938007 952896 972748 1005362 1037232 1072008 1075648 1111712 1166886 1206009 1210104 1225152 1250676 1333584 1361367 1378296 1382976 1429344 1459122 1508043 1555848 1608012 1613472 1667568 1702309 1778112 1815156 1837728 1876014 1945496 2010724 2074464 2144016 2188683 2223424 2333772 2412018 2420208 2501352 2667168 2722734 2756592 2814021 2858688 2918244 3016086 3111696 3216024 3226944 3335136 3404618 3518767 3630312 3675456 3752028 3890992 4021448 4084101 4148928 4288032 4377366 4524129 4667544 4824036 4840416 5002704 5106927 5334336 5445468 5513184 5628042 5836488 6032172 6223392 6432048 6566049 6670272 6809236 7037534 7260624 7504056 7781984 8042896 8168202 8442063 8576064 8754732 9048258 9335088 9648072 9680832 10005408 10213854 10556301 10890936 11026368 11256084 11672976 11916163 12064344 12446784 12864096 13132098 13572387 13618472 14075068 14521248 15008112 15320781 15563968 16085792 16336404 16884126 17509464 18096516 18670176 19296144 19698147 20010816 20427708 21112602 21781872 22512168 23345952 23832326 24128688 24631369 25728192 26264196 27144774 27236944 28150136 29042496 30016224 30641562 31668903 32171584 32672808 33768252 35018928 35748489 36193032 37340352 38592288 39396294 40717161 40855416 42225204 43563744 45024336 45962343 46691904 47664652 48257376 49262738 52528392 54289548 54473888 56300272 59094441 60032448 61283124 63337806 65345616 67536504 70037856 71496978 72386064 73894107 77184576 78792588 81434322 81710832 84450408 87127488 90048672 91924686 95006709 95329304 96514752 98525476 105056784 107245467 108579096 108947776 112600544 118188882 122151483 122566248 126675612 130691232 135073008 137887029 140075712 142993956 144772128 147788214 157585176 162868644 163421664 168900816 172419583 180097344 183849372 190013418 190658608 197050952 210113568 214490934 217158192 221682321 225201088 236377764 244302966 245132496 253351224 261382464 270146016 275774058 285020127 285987912 289544256 295576428 315170352 321736401 325737288 326843328 337801632 344839166 367698744 380026836 381317216 394101904 413661087 420227136 428981868 434316384 443364642 472755528 488605932 490264992 506702448 517258749 540292032 551548116 570040254 571975824 591152856 630340704 643472802 651474576 665046963 675603264 689678332 735397488 760053672 762634432 788203808 827322174 855060381 857963736 868632768 886729284 945511056 965209203 977211864 980529984 1013404896 1034517498 1103096232 1140080508 1143951648 1182305712 1206937081 1260681408 1286945604 1302949152 1330093926 1379356664 1470794976 1520107344 1551776247 1576407616 1654644348 1710120762 1715927472 1773458568 1891022112 1930418406 1954423728 1995140889 2026809792 2069034996 2206192464 2280161016 2287903296 2364611424 2413874162 2573891208 2605898304 2660187852 2758713328 2895627609 2941589952 3040214688 3103552494 3309288696 3420241524 3431854944 3546917136 3620811243 3782044224 3860836812 3908847456 3990281778 4138069992 4412384928 4560322032 4655328741 4729222848 4827748324 5147782416 5320375704 5517426656 5791255218 5985422667 6080429376 6207104988 6618577392 6840483048 6863709888 7093834272 7241622486 7721673624 7817694912 7980563556 8276139984 8448559567 8824769856 9120644064 9310657482 9655496648 10295564832 10640751408 10862433729 11034853312 11582510436 11970845334 12414209976 13237154784 13680966096 13965986223 14187668544 14483244972 15443347248 15961127112 16552279968 16897119134 18241288128 18621314964 19310993296 20591129664 21281502816 21724867458 23165020872 23941690668 24828419952 25345678701 26474309568 27361932192 27931972446 28966489944 30886694496 31922254224 32587301187 33104559936 33794238268 37242629928 38621986592 41897958669 42563005632 43449734916 46330041744 47883381336 49656839904 50691357402 54723864384 55863944892 57932979888 61773388992 63844508448 65174602374 67588476536 74485259856 76037036103 77243973184 83795917338 86899469832 92660083488 95766762672 97761903561 99313679808 101382714804 111727889784 115865959776 127689016896 130349204748 135176953072 148970519712 152074072206 167591834676 173798939664 185320166976 191533525344 195523807122 202765429608 223455779568 228111108309 231731919552 260698409496 270353906144 293285710683 297941039424 304148144412 335183669352 347597879328 383067050688 391047614244 405530859216 446911559136 456222216618 521396818992 540707812288 586571421366 608296288824 670367338704 684333324927 695195758656 782095228488 811061718432 893823118272 912444433236 1042793637984 1173142842732 1216592577648 1340734677408 1368666649854 1564190456976 1622123436864 1824888866472 2052999974781 2085587275968 2346285685464 2433185155296 2681469354816 2737333299708 3128380913952 3649777732944 4105999949562 4692571370928 4866370310592 5474666599416 6256761827904 7299555465888 8211999899124 9385142741856 10949333198832 14599110931776 16423999798248 18770285483712 21898666397664 32847999596496 43797332795328 65695999192992 131391998385984
• Sum of all divisors σ(n): 456293045373984
• Sum of proper divisors (its aliquot sum) s(n): 324901046988000
• 131391998385984 is an abundant number, because the sum of its proper divisors (324901046988000) is greater than itself. Its abundance is 193509048602016

Bases of 131391998385984

• Binary: 11101111000000000010101011000111101111101000000₂
• Hexadecimal: 0x77801563DF40
• Base-36: 1AKONFEC00

Squares and roots of 131391998385984

• 131391998385984 squared (131391998385984²) is 17263857239862422061047648256
• 131391998385984 cubed (131391998385984³) is 2268332702595861552591385594368470952443904
• The square root of 131391998385984 is 11462634.8797291803
• The cube root of 131391998385984 is 50838.1384280205

Scales and comparisons

• 131,391,998,385,984 seconds is equal to 4,177,859 years, 6 weeks, 4 days, 1 hour, 26 minutes, 24 seconds.
• To count from 1 to 131,391,998,385,984 would take you about ten million, four hundred forty-four thousand, six hundred forty-seven 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 131391998385984 cubic inches would be around 4236.5 feet tall.

Recreational maths with 131391998385984

• 131391998385984 backwards is 489583899193131
• 131391998385984 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 131391998385984's digits is 81
• More coming soon!