90122405712768

Names of 90122405712768

• Cardinal: 90122405712768 can be written as Ninety trillion, one hundred twenty-two billion, four hundred five million, seven hundred twelve thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 9.0122405712768 × 10¹³

Factors of 90122405712768

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 14336

Divisors of 90122405712768

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 32 33 34 36 39 44 48 51 52 64 66 68 72 78 88 96 99 102 104 117 128 132 136 143 144 153 156 176 187 192 198 204 208 221 234 264 272 286 288 306 312 352 374 384 396 408 416 429 442 468 528 544 561 572 576 612 624 663 704 748 792 816 832 858 884 936 1056 1088 1122 1144 1152 1224 1248 1287 1326 1408 1496 1584 1632 1664 1683 1716 1768 1872 1989 2112 2176 2244 2288 2431 2448 2496 2574 2652 2801 2992 3168 3264 3366 3432 3536 3744 3978 4224 4488 4576 4862 4896 4992 5148 5304 5602 5984 6336 6528 6732 6864 7072 7293 7488 7956 8403 8976 9152 9724 9792 10296 10608 11204 11489 11968 12672 13464 13728 14144 14586 14976 15912 16806 17952 18304 19448 19584 20592 21216 21879 22408 22978 23936 25209 26928 27456 28288 29172 30811 31824 33612 34467 35904 36413 38896 41184 42432 43758 44816 45956 47617 50418 53856 54912 58344 61622 63648 67224 68934 71808 72826 77792 82368 84864 87516 89632 91912 92433 95234 100836 103401 107712 109239 116688 123244 126379 127296 134448 137868 142851 145652 149357 155584 164736 175032 179264 183824 184866 190468 195313 201672 206802 215424 218478 233376 246488 252758 254592 268896 275736 277299 285702 291304 298714 311168 327717 350064 358528 367648 369732 379137 380936 390626 400543 403344 413604 428553 436956 448071 466752 492976 505516 523787 537792 551472 554598 571404 582608 585939 597428 619021 655434 700128 735296 739464 758274 761872 781252 801086 806688 827208 857106 873912 896142 933504 985952 1011032 1047574 1075584 1102944 1109196 1137411 1142808 1165216 1171878 1194856 1201629 1238042 1310868 1344213 1400256 1470592 1478928 1516548 1523744 1562504 1571361 1602172 1613376 1642927 1654416 1714212 1747824 1757817 1792284 1857063 1971904 2022064 2095148 2148443 2205888 2218392 2274822 2285616 2330432 2343756 2389712 2403258 2476084 2539069 2621736 2688426 2800512 2957856 3033096 3047488 3125008 3142722 3204344 3226752 3285854 3308832 3428424 3495648 3515634 3584568 3604887 3714126 3943808 4044128 4190296 4296886 4411776 4436784 4549644 4571232 4660864 4687512 4714083 4779424 4806516 4928781 4952168 5078138 5243472 5376852 5571189 5915712 6066192 6094976 6250016 6285444 6408688 6445329 6571708 6617664 6809231 6856848 6991296 7031268 7169136 7209774 7428252 7617207 8088256 8380592 8593772 8873568 9099288 9142464 9375024 9428166 9558848 9613032 9857562 9904336 10156276 10486944 10753704 11142378 11831424 12132384 12500032 12570888 12817376 12890658 13143416 13235328 13618462 13713696 13982592 14062536 14338272 14419548 14786343 14856504 15234414 16176512 16761184 17187544 17747136 18198576 18284928 18750048 18856332 19117696 19226064 19335987 19715124 19808672 20312552 20427693 20973888 21507408 22284756 22851621 24264768 25000064 25141776 25634752 25781316 26286832 27236924 27427392 27929759 28125072 28676544 28839096 29572686 29713008 30468828 32180689 33522368 34375088 35494272 36397152 37500096 37712664 38452128 38671974 39430248 39617344 40625104 40855386 41947776 43014816 44569512 45703242 48529536 50283552 51269504 51562632 52573664 54473848 54854784 55859518 56250144 57353088 57678192 59145372 59426016 60937656 61283079 64361378 67044736 68750176 72794304 75000192 75425328 76904256 77343948 78860496 79234688 81250208 81710772 83789277 86029632 89139024 91406484 96542067 100567104 103125264 105147328 108947696 111719036 112500288 115356384 118290744 118852032 121875312 122566158 128722756 137500352 145588608 150850656 153808512 154687896 157720992 162500416 163421544 167578554 172059264 178278048 182812968 193084134 201134208 206250528 210294656 217895392 223438072 225000576 230712768 236581488 237704064 243750624 245132316 251367831 257445512 275000704 289626201 301701312 309375792 315441984 325000832 326843088 335157108 353987579 356556096 365625936 386168268 412501056 418348957 435790784 446876144 461425536 473162976 487501248 490264632 502735662 514891024 547071713 579252402 603402624 618751584 630883968 653686176 670314216 707975158 713112192 731251872 772336536 825002112 836697914 871581568 893752288 946325952 975002496 980529264 1005471324 1029782048 1061962737 1094143426 1158504804 1237503168 1255046871 1307372352 1340628432 1415950316 1462503744 1544673072 1641215139 1673395828 1787504576 1892651904 1961058528 2010942648 2059564096 2123925474 2188286852 2317009608 2475006336 2510093742 2614744704 2681256864 2831900632 2925007488 3089346144 3185888211 3282430278 3346791656 3575009152 3765140613 3922117056 4021885296 4119128192 4247850948 4376573704 4601838527 4634019216 4923645417 5020187484 5362513728 5663801264 6017788843 6178692288 6371776422 6564860556 6693583312 7111932269 7530281226 7844234112 8043770592 8495701896 8753147408 9203677054 9268038432 9847290834 10040374968 10725027456 11327602528 12035577686 12357384576 12743552844 13129721112 13387166624 13805515581 14223864538 15060562452 16087541184 16991403792 17506294816 18053366529 18407354108 18536076864 19694581668 20080749936 21335796807 22655205056 24071155372 25487105688 26259442224 26774333248 27611031162 28447729076 30121124904 32175082368 33982807584 35012589632 36106733058 36814708216 37072153728 39389163336 40161499872 41416546743 42671593614 45310410112 48142310744 50974211376 52518884448 53548666496 54160099587 55222062324 56895458152 60242249808 64007390421 67965615168 70025179264 72213466116 73629416432 78231254959 78778326672 80322999744 82833093486 85343187228 96284621488 101948422752 105037768896 108320199174 110444124648 113790916304 120484499616 128014780842 135931230336 144426932232 147258832864 156462509918 157556653344 160645999488 165666186972 170686374456 192569242976 203896845504 210075537792 216640398348 220888249296 227581832608 234693764877 240968999232 256029561684 288853864464 294517665728 312925019836 315113306688 331332373944 341372748912 385138485952 407793691008 433280796696 441776498592 455163665216 469387529754 481937998464 512059123368 577707728928 589035331456 625850039672 630226613376 662664747888 682745497824 704081294631 770276971904 866561593392 883552997184 910327330432 938775059508 1024118246736 1155415457856 1251700079344 1325329495776 1365490995648 1408162589262 1733123186784 1767105994368 1877550119016 2048236493472 2310830915712 2503400158688 2650658991552 2730981991296 2816325178524 3466246373568 3755100238032 4096472986944 5006800317376 5301317983104 5632650357048 6932492747136 7510200476064 8192945973888 10013600634752 11265300714096 15020400952128 22530601428192 30040801904256 45061202856384 90122405712768
• Sum of all divisors σ(n): 322740508708800
• Sum of proper divisors (its aliquot sum) s(n): 232618102996032
• 90122405712768 is an abundant number, because the sum of its proper divisors (232618102996032) is greater than itself. Its abundance is 142495697283264

Bases of 90122405712768

• Binary: 10100011111011101000001111110101001001110000000₂
• Hexadecimal: 0x51F741FA9380
• Base-36: VY1NTGWW0

Squares and roots of 90122405712768

• 90122405712768 squared (90122405712768²) is 8122048011456758242118221824
• 90122405712768 cubed (90122405712768³) is 731978506107086523313277103820487453048832
• The square root of 90122405712768 is 9493282.1359510853
• The cube root of 90122405712768 is 44834.3549115917

Scales and comparisons

• 90,122,405,712,768 seconds is equal to 2,865,613 years, 38 weeks, 1 day, 10 hours, 52 minutes, 48 seconds.
• To count from 1 to 90,122,405,712,768 would take you about seven million, one hundred sixty-four thousand and thirty-four 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 90122405712768 cubic inches would be around 3736.2 feet tall.

Recreational maths with 90122405712768

• 90122405712768 backwards is 86721750422109
• The number of decimal digits it has is: 14
• The sum of 90122405712768's digits is 54
• More coming soon!