31314415708985344

Names of 31314415708985344

• Cardinal: 31314415708985344 can be written as Thirty-one quadrillion, three hundred fourteen trillion, four hundred fifteen billion, seven hundred eight million, nine hundred eighty-five thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 3.1314415708985344 × 10¹⁶

Factors of 31314415708985344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 1438

Divisors of 31314415708985344

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 4 8 13 16 19 26 32 38 52 64 76 101 104 128 152 202 208 247 256 304 361 404 416 494 512 608 722 808 832 988 1024 1216 1303 1313 1444 1616 1664 1919 1976 2048 2432 2606 2626 2888 3232 3328 3838 3952 4693 4864 5212 5252 5776 6464 6656 6859 7676 7904 9386 9728 10424 10504 11552 12928 13312 13718 15352 15808 16939 18772 19456 20848 21008 23104 24757 24947 25856 26624 27436 30704 31616 33878 36461 37544 38912 41696 42016 46208 49514 49894 51712 54872 61408 63232 67756 72922 75088 83392 84032 89167 92416 99028 99788 103424 109744 122816 126464 131603 135512 145844 150176 166784 168064 178334 184832 198056 199576 206848 219488 245632 252928 263206 271024 291688 300352 321841 333568 336128 356668 369664 396112 399152 438976 470383 473993 491264 505856 526412 542048 583376 600704 643682 667136 672256 692759 713336 739328 792224 798304 877952 940766 947986 982528 1052824 1084096 1166752 1201408 1287364 1334272 1344512 1385518 1426672 1584448 1596608 1697809 1710839 1755904 1881532 1895972 1965056 2105648 2168192 2333504 2402816 2500457 2574728 2668544 2689024 2771036 2853344 3168896 3193216 3395618 3421678 3511808 3763064 3791944 3930112 4211296 4336384 4667008 4805632 5000914 5149456 5542072 5706688 6114979 6337792 6386432 6791236 6843356 7023616 7526128 7583888 8422592 8672768 8937277 9005867 9334016 9611264 10001828 10298912 11084144 11413376 12229958 12675584 12772864 13582472 13686712 14047232 15052256 15167776 16845184 17345536 17874554 18011734 18668032 20003656 20597824 22071517 22168288 22826752 24459916 25351168 25545728 27164944 27373424 30104512 30335552 32258371 32505941 33690368 34691072 35749108 36023468 37336064 40007312 41195648 44143034 44336576 45653504 47508683 48919832 50702336 51091456 54329888 54746848 60209024 60671104 64516742 65011882 67380736 71498216 72046936 74672128 80014624 82391296 88286068 88673152 91307008 95017366 97839664 108659776 109493696 116184601 120418048 121342208 129033484 130023764 134761472 142996432 144093872 160029248 164782592 171478709 176572136 177346304 182614016 190034732 195679328 217319552 218987392 232369202 240836096 242684416 258066968 260047528 269522944 285992864 288187744 320058496 329565184 342957418 353144272 354692608 380069464 391358656 419358823 434639104 437974784 464738404 481672192 485368832 516133936 520095056 571985728 576375488 612909049 617612879 640116992 659130368 685914836 706288544 709385216 760138928 782717312 838717646 869278208 875949568 902664977 929476808 963344384 970737664 1032267872 1040190112 1143971456 1152750976 1225818098 1235225758 1280233984 1371829672 1412577088 1418770432 1520277856 1565434624 1677435292 1738556416 1751899136 1805329954 1858953616 2064535744 2080380224 2229223217 2287942912 2305501952 2451636196 2470451516 2560467968 2743659344 2825154176 3040555712 3130869248 3258095471 3354870584 3477112832 3503798272 3610659908 3717907232 4129071488 4160760448 4458446434 4575885824 4611003904 4903272392 4940903032 5120935936 5487318688 5650308352 6081111424 6261738496 6516190942 6709741168 7221319816 7435814464 7967817637 8258142976 8321520896 8916892868 9151771648 9222007808 9806544784 9881806064 10974637376 11300616704 11645271931 11734644701 12162222848 12523476992 13032381884 13419482336 14442639632 14871628928 15935635274 16516285952 16643041792 17833785736 18303543296 18444015616 19613089568 19763612128 21949274752 22601233408 23290543862 23469289402 24324445696 26064763768 26838964672 28885279264 29743257856 31871270548 33032571904 33286083584 35667571472 39226179136 39527224256 42355241123 43898549504 45202466816 46581087724 46938578804 48648891392 52129527536 53677929344 57770558528 59486515712 61903813949 63742541096 66065143808 66572167168 71335142944 78452358272 79054448512 84710482246 87797099008 93162175448 93877157608 97297782784 104259055072 107355858688 115541117056 118973031424 123807627898 127485082192 142670285888 151388535103 156904716544 158108897024 169420964492 175594198016 186324350896 187754315216 208518110144 214711717376 231082234112 237946062848 247615255796 254970164384 285340571776 302777070206 313809433088 316217794048 338841928984 351188396032 372648701792 375508630432 417036220288 429423434752 462164468224 495230511592 509940328768 570681143552 605554140412 627618866176 632435588096 677683857968 745297403584 751017260864 804749581337 834072440576 858846869504 924328936448 990461023184 1019880657536 1141362287104 1176172465031 1211108280824 1255237732352 1264871176192 1355367715936 1490594807168 1502034521728 1609499162674 1668144881152 1848657872896 1980922046368 2039761315072 2282724574208 2352344930062 2422216561648 2710735431872 2981189614336 3004069043456 3218998325348 3336289762304 3961844092736 4079522630144 4565449148416 4704689860124 4844433123296 5421470863744 5962379228672 6008138086912 6437996650696 6672579524608 7923688185472 8159045260288 9409379720248 9688866246592 10842941727488 11924758457344 12016276173824 12875993301392 15290242045403 15847376370944 16318090520576 18818759440496 19377732493184 21685883454976 23849516914688 24032552347648 25751986602784 30580484090806 31694752741888 37637518880992 38755464986368 43371766909952 51503973205568 61160968181612 63389505483776 75275037761984 77510929972736 86743533819904 103007946411136 122321936363224 126779010967552 150550075523968 155021859945472 206015892822272 244643872726448 301100151047936 310043719890944 412031785644544 489287745452896 602200302095872 824063571289088 978575490905792 1204400604191744 1648127142578176 1957150981811584 2408801208383488 3914301963623168 7828603927246336 15657207854492672 31314415708985344
• Sum of all divisors σ(n): 71935446309199200
• Sum of proper divisors (its aliquot sum) s(n): 40621030600213856
• 31314415708985344 is an abundant number, because the sum of its proper divisors (40621030600213856) is greater than itself. Its abundance is 9306614891228512

Bases of 31314415708985344

• Binary: 1101111010000000100101110010000101011101101100000000000₂
• Hexadecimal: 0x6F404B90AED800
• Base-36: 8KC17ZAVJ0G

Squares and roots of 31314415708985344

• 31314415708985344 squared (31314415708985344²) is 980592631195148084527738006798336
• 31314415708985344 cubed (31314415708985344³) is 30706685294412617057113862795995323105232587587584
• The square root of 31314415708985344 is 176958796.6420017901
• The cube root of 31314415708985344 is 315196.5371597065

Scales and comparisons

• 31,314,415,708,985,344 seconds is equal to 995,701,557 years, 36 weeks, 2 days, 3 hours, 29 minutes, 4 seconds.
• To count from 1 to 31,314,415,708,985,344 would take you about two billion, nine hundred eighty-seven million, one hundred four thousand, six hundred seventy-three 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 31314415708985344 cubic inches would be around 26266.4 feet tall.

Recreational maths with 31314415708985344

• 31314415708985344 backwards is 44358980751441313
• The number of decimal digits it has is: 17
• The sum of 31314415708985344's digits is 70
• More coming soon!