90428581521816000

Names of 90428581521816000

• Cardinal: 90428581521816000 can be written as Ninety quadrillion, four hundred twenty-eight trillion, five hundred eighty-one billion, five hundred twenty-one million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 9.0428581521816 × 10¹⁶

Factors of 90428581521816000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 312

Divisors of 90428581521816000

• Number of divisors d(n): 1176
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 64 75 76 80 95 96 100 114 120 125 150 152 160 190 192 200 228 240 250 283 285 300 304 320 361 375 380 400 456 475 480 500 566 570 600 608 722 750 760 800 849 912 950 960 1000 1083 1132 1140 1200 1216 1415 1425 1444 1500 1520 1600 1698 1805 1824 1900 2000 2166 2264 2280 2375 2400 2830 2850 2888 3000 3040 3396 3610 3648 3800 4000 4245 4332 4528 4560 4750 4800 5377 5415 5660 5700 5776 6000 6080 6792 6859 7075 7125 7220 7600 8000 8490 8664 9025 9056 9120 9500 10754 10830 11320 11400 11552 12000 13584 13718 14150 14250 14440 15200 16131 16980 17328 18050 18112 18240 19000 20577 21225 21508 21660 22640 22800 23104 24000 26885 27075 27168 27436 28300 28500 28880 30400 32262 33960 34295 34656 35375 36100 38000 41154 42450 43016 43320 45125 45280 45600 53770 54150 54336 54872 56600 57000 57760 64524 67920 68590 69312 70750 72200 76000 80089 80655 82308 84900 86032 86640 90250 90560 91200 102163 102885 106125 107540 108300 109744 113200 114000 115520 129048 130321 134425 135375 135840 137180 141500 144400 152000 160178 161310 164616 169800 171475 172064 173280 180500 204326 205770 212250 215080 216600 219488 226400 228000 240267 258096 260642 268850 270750 271680 274360 283000 288800 306489 320356 322620 329232 339600 342950 344128 346560 361000 390963 400445 403275 408652 411540 424500 430160 433200 438976 452800 456000 480534 510815 514425 516192 521284 537700 541500 548720 566000 577600 612978 640712 645240 651605 658464 672125 679200 685900 722000 781926 800890 806550 817304 823080 849000 857375 860320 866400 961068 1021630 1028850 1032384 1042568 1075400 1083000 1097440 1132000 1201335 1225956 1281424 1290480 1303210 1316928 1344250 1358400 1371800 1444000 1521691 1532445 1563852 1601780 1613100 1634608 1646160 1698000 1714750 1720640 1732800 1922136 1941097 1954815 2002225 2016375 2043260 2057700 2085136 2150800 2166000 2194880 2264000 2402670 2451912 2476099 2554075 2562848 2572125 2580960 2606420 2688500 2743600 2888000 3043382 3064890 3127704 3203560 3226200 3258025 3269216 3292320 3396000 3429500 3844272 3882194 3909630 4004450 4032750 4086520 4115400 4170272 4301600 4332000 4565073 4805340 4903824 4952198 5108150 5125696 5144250 5161920 5212840 5377000 5487200 5823291 6006675 6086764 6129780 6255408 6407120 6452400 6516050 6538432 6584640 6792000 6859000 7428297 7608455 7662225 7688544 7764388 7819260 8008900 8065500 8173040 8230800 8340544 8603200 8664000 9130146 9610680 9705485 9774075 9807648 9904396 10011125 10216300 10288500 10425680 10754000 10974400 11646582 12013350 12173528 12259560 12380495 12510816 12770375 12814240 12904800 13032100 13718000 14856594 15216910 15324450 15377088 15528776 15638520 16017800 16131000 16290125 16346080 16461600 18260292 19221360 19410970 19548150 19615296 19808792 20022250 20432600 20577000 20851360 21508000 22825365 23293164 24026700 24347056 24519120 24760990 25021632 25540750 25628480 25809600 26064200 27436000 28912129 29116455 29713188 30033375 30433820 30648900 31057552 31277040 32035600 32262000 32580250 32692160 32923200 36520584 36880843 37141485 38042275 38311125 38442720 38821940 39096300 39617584 40044500 40865200 41154000 41702720 43016000 45650730 46586328 47045881 48053400 48527425 48694112 48870375 49038240 49521980 51081500 52128400 54872000 57824258 58232910 59426376 60066750 60867640 61297800 61902475 62115104 62554080 64071200 64524000 65160500 73041168 73761686 74282970 76084550 76622250 76885440 77643880 78192600 79235168 80089000 81730400 82308000 86736387 91301460 93172656 94091762 96106800 97054850 97388224 97740750 98076480 99043960 102163000 104256800 110642529 114126825 115648516 116465820 118852752 120133500 121735280 122595600 123804950 124230208 125108160 128142400 129048000 130321000 141137643 144560645 145582275 146082336 147523372 148565940 152169100 153244500 155287760 156385200 158470336 160178000 163460800 164616000 173472774 182602920 184404215 185707425 186345312 188183524 190211375 192213600 194109700 195481500 198087920 204326000 208513600 221285058 228253650 231297032 232931640 235229405 237705504 240267000 242637125 243470560 245191200 247609900 260642000 282275286 289121290 291164550 292164672 295046744 297131880 304338200 306489000 309512375 310575520 312770400 320356000 346945548 365205840 368808430 371414850 372690624 376367048 380422750 384427200 388219400 390963000 396175840 408652000 433681935 442570116 456507300 462594064 465863280 470458810 475411008 480534000 485274250 486941120 490382400 495219800 521284000 549330451 553212645 564550572 570634125 578242580 582329100 590093488 594263760 608676400 612978000 619024750 621151040 625540800 640712000 693891096 700736017 705688215 722803225 727911375 730411680 737616860 742829700 752734096 760845500 776438800 781926000 792351680 817304000 867363870 885140232 913014600 922021075 925188128 928537125 931726560 940917620 961068000 970548500 990439600 1042568000 1098660902 1106425290 1129101144 1141268250 1156485160 1164658200 1176147025 1180186976 1188527520 1217352800 1225956000 1238049500 1387782192 1401472034 1411376430 1445606450 1455822750 1460823360 1475233720 1485659400 1505468192 1521691000 1552877600 1563852000 1647991353 1734727740 1770280464 1826029200 1844042150 1850376256 1857074250 1863453120 1881835240 1922136000 1941097000 1980879200 2102208051 2168409675 2197321804 2212850580 2258202288 2282536500 2312970320 2329316400 2352294050 2360373952 2377055040 2434705600 2451912000 2476099000 2746652255 2766063225 2775564384 2802944068 2822752860 2891212900 2911645500 2950467440 2971318800 3010936384 3043382000 3105755200 3127704000 3295982706 3469455480 3503680085 3528441075 3540560928 3614016125 3652058400 3688084300 3714148500 3763670480 3882194000 3961758400 4204416102 4336819350 4394643608 4425701160 4516404576 4565073000 4610105375 4625940640 4658632800 4704588100 4952198000 5493304510 5532126450 5551128768 5605888136 5645505720 5782425800 5823291000 5880735125 5900934880 5942637600 6086764000 6591965412 6938910960 7007360170 7056882150 7081121856 7228032250 7304116800 7376168600 7428297000 7527340960 7764388000 8239956765 8408832204 8673638700 8789287216 8851402320 9032809152 9130146000 9220210750 9251881280 9317265600 9409176200 9904396000 10437278569 10511040255 10842048375 10986609020 11064252900 11211776272 11291011440 11564851600 11646582000 11761470250 11801869760 11885275200 12173528000 13183930824 13313984323 13733261275 13830316125 13877821920 14014720340 14113764300 14456064500 14752337200 14856594000 15054681920 15528776000 16479913530 16817664408 17347277400 17518400425 17578574432 17642205375 17702804640 18260292000 18440421500 18818352400 19808792000 20874557138 21022080510 21684096750 21973218040 22128505800 22423552544 22582022880 23129703200 23293164000 23522940500 26367861648 26627968646 27466522550 27660632250 27755643840 28029440680 28227528600 28912129000 29504674400 29713188000 31311835707 32959827060 33635328816 34694554800 35036800850 35157148864 35284410750 35405609280 36520584000 36880843000 37636704800 39941952969 41199783825 41749114276 42044161020 43368193500 43946436080 44257011600 44847105088 45164045760 46259406400 46586328000 47045881000 52186392845 52555201275 52735723296 53255937292 54933045100 55321264500 56058881360 56455057200 57824258000 59009348800 59426376000 62623671414 65919654120 66569921615 67270657632 68666306375 69389109600 70073601700 70568821500 73761686000 75273409600 79883905938 82399567650 83498228552 84088322040 86736387000 87592002125 87892872160 88514023200 94091762000 104372785690 105110402550 105471446592 106511874584 109866090200 110642529000 112117762720 112910114400 115648516000 125247342828 131839308240 133139843230 134541315264 137332612750 138778219200 140147203400 141137643000 147523372000 156559178535 159767811876 164799135300 166996457104 168176644080 173472774000 175184004250 175785744320 177028046400 188183524000 198308292811 199709764845 205998919125 208745571380 210220805100 213023749168 219732180400 221285058000 224235525440 225820228800 231297032000 250494685656 260931964225 262776006375 263678616480 266279686460 274665225500 280294406800 282275286000 295046744000 313118357070 319535623752 329598270600 332849608075 333992914208 336353288160 346945548000 350368008500 376367048000 396616585622 399419529690 411997838250 417491142760 420441610200 426047498336 439464360800 442570116000 500989371312 521863928450 525552012750 527357232960 532559372920 549330451000 560588813600 564550572000 594924878433 626236714140 639071247504 659196541200 665699216150 667985828416 672706576320 693891096000 700736017000 782795892675 793233171244 798839059380 823995676500 834982285520 840883220400 852094996672 878928721600 885140232000 991541464055 998548824225 1001978742624 1043727856900 1051104025500 1065118745840 1098660902000 1121177627200 1129101144000 1189849756866 1252473428280 1278142495008 1304659821125 1318393082400 1331398432300 1401472034000 1565591785350 1586466342488 1597678118760 1647991353000 1664248040375 1669964571040 1681766440800 1983082928110 1997097648450 2003957485248 2087455713800 2102208051000 2130237491680 2197321804000 2379699513732 2504946856560 2556284990016 2609319642250 2636786164800 2662796864600 2802944068000 2974624392165 3131183570700 3172932684976 3195356237520 3295982706000 3328496080750 3339929142080 3363532881600 3767857563409 3913979463375 3966165856220 3994195296900 4174911427600 4204416102000 4260474983360 4394643608000 4759399027464 4957707320275 4992744121125 5009893713120 5218639284500 5325593729200 5605888136000 5949248784330 6262367141400 6345865369952 6390712475040 6591965412000 6656992161500 7535715126818 7827958926750 7932331712440 7988390593800 8349822855200 8408832204000 9518798054928 9915414640550 9985488242250 10019787426240 10437278569000 10651187458400 11303572690227 11898497568660 12524734282800 12691730739904 12781424950080 13183930824000 13313984323000 14873121960825 15071430253636 15655917853500 15864663424880 15976781187600 16699645710400 16817664408000 18839287817045 19037596109856 19830829281100 19970976484500 20874557138000 21302374916800 22607145380454 23796995137320 24788536601375 25049468565600 26627968646000 29746243921650 30142860507272 31311835707000 31729326849760 31953562375200 37678575634090 38075192219712 39661658562200 39941952969000 41749114276000 45214290760908 47593990274640 49577073202750 50098937131200 53255937292000 56517863451135 59492487843300 60285721014544 62623671414000 63458653699520 63907124750400 74365609804125 75357151268180 79323317124400 79883905938000 83498228552000 90428581521816 94196439085225 95187980549280 99154146405500 106511874584000 113035726902270 118984975686600 120571442029088 125247342828000 148731219608250 150714302536360 158646634248800 159767811876000 180857163043632 188392878170450 190375961098560 198308292811000 226071453804540 237969951373200 241142884058176 250494685656000 282589317255675 297462439216500 301428605072720 317293268497600 319535623752000 361714326087264 376785756340900 396616585622000 452142907609080 470982195426125 475939902746400 565178634511350 594924878433000 602857210145440 723428652174528 753571512681800 793233171244000 904285815218160 941964390852250 951879805492800 1130357269022700 1189849756866000 1205714420290880 1412946586278375 1507143025363600 1586466342488000 1808571630436320 1883928781704500 2260714538045400 2379699513732000 2825893172556750 3014286050727200 3617143260872640 3767857563409000 4521429076090800 4759399027464000 5651786345113500 6028572101454400 7535715126818000 9042858152181600 11303572690227000 15071430253636000 18085716304363200 22607145380454000 30142860507272000 45214290760908000 90428581521816000
• Sum of all divisors σ(n): 316301455814267664
• Sum of proper divisors (its aliquot sum) s(n): 225872874292451664
• 90428581521816000 is an abundant number, because the sum of its proper divisors (225872874292451664) is greater than itself. Its abundance is 135444292770635664

Bases of 90428581521816000

• Binary: 101000001010001000101000011010111001001100111100111000000₂
• Hexadecimal: 0x1414450D72679C0
• Base-36: OQE98UPAXMO

Squares and roots of 90428581521816000

• 90428581521816000 squared (90428581521816000²) is 8177328356047722118483937856000000
• 90428581521816000 cubed (90428581521816000³) is 739464203875519052896214536589076852266496000000000
• The square root of 90428581521816000 is 300713454.1749271317
• The cube root of 90428581521816000 is 448850.6993179261

Scales and comparisons

• 90,428,581,521,816,000 seconds is equal to 2,875,349,178 years, 22 weeks, 22 hours, 40 minutes.
• To count from 1 to 90,428,581,521,816,000 would take you about eight billion, six hundred twenty-six million, forty-seven thousand, five hundred thirty-five 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 90428581521816000 cubic inches would be around 37404.2 feet tall.

Recreational maths with 90428581521816000

• 90428581521816000 backwards is 00061812518582409
• 90428581521816000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 90428581521816000's digits is 60
• More coming soon!