138920906697673116378726400
138,920,906,697,673,116,378,726,400 is an even composite number composed of three prime numbers multiplied together.
138920906697673116378726400 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of eight hundred sixty-one divisors.
Prime factorization of 138920906697673116378726400:
240 × 52 × 1316
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 131 × 131 × 131 × 131 × 131 × 131)See below for interesting mathematical facts about the number 138920906697673116378726400 from the Numbermatics database.
Names of 138920906697673116378726400
- Cardinal: 138920906697673116378726400 can be written as One hundred thirty-eight septillion, nine hundred twenty sextillion, nine hundred six quintillion, six hundred ninety-seven quadrillion, six hundred seventy-three trillion, one hundred sixteen billion, three hundred seventy-eight million, seven hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.389209066976731163787264 × 1026
Factors of 138920906697673116378726400
Divisors of 138920906697673116378726400
- Number of divisors d(n): 861
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 131 160 200 256 262 320 400 512 524 640 655 800 1024 1048 1280 1310 1600 2048 2096 2560 2620 3200 3275 4096 4192 5120 5240 6400 6550 8192 8384 10240 10480 12800 13100 16384 16768 17161 20480 20960 25600 26200 32768 33536 34322 40960 41920 51200 52400 65536 67072 68644 81920 83840 85805 102400 104800 131072 134144 137288 163840 167680 171610 204800 209600 262144 268288 274576 327680 335360 343220 409600 419200 429025 524288 536576 549152 655360 670720 686440 819200 838400 858050 1048576 1073152 1098304 1310720 1341440 1372880 1638400 1676800 1716100 2097152 2146304 2196608 2248091 2621440 2682880 2745760 3276800 3353600 3432200 4194304 4292608 4393216 4496182 5242880 5365760 5491520 6553600 6707200 6864400 8388608 8585216 8786432 8992364 10485760 10731520 10983040 11240455 13107200 13414400 13728800 16777216 17170432 17572864 17984728 20971520 21463040 21966080 22480910 26214400 26828800 27457600 33554432 34340864 35145728 35969456 41943040 42926080 43932160 44961820 52428800 53657600 54915200 56202275 67108864 68681728 70291456 71938912 83886080 85852160 87864320 89923640 104857600 107315200 109830400 112404550 134217728 137363456 140582912 143877824 167772160 171704320 175728640 179847280 209715200 214630400 219660800 224809100 268435456 274726912 281165824 287755648 294499921 335544320 343408640 351457280 359694560 419430400 429260800 439321600 449618200 536870912 549453824 562331648 575511296 588999842 671088640 686817280 702914560 719389120 838860800 858521600 878643200 899236400 1073741824 1098907648 1124663296 1151022592 1177999684 1342177280 1373634560 1405829120 1438778240 1472499605 1677721600 1717043200 1757286400 1798472800 2147483648 2197815296 2249326592 2302045184 2355999368 2684354560 2747269120 2811658240 2877556480 2944999210 3355443200 3434086400 3514572800 3596945600 4294967296 4395630592 4498653184 4604090368 4711998736 5368709120 5494538240 5623316480 5755112960 5889998420 6710886400 6868172800 7029145600 7193891200 7362498025 8589934592 8791261184 8997306368 9208180736 9423997472 10737418240 10989076480 11246632960 11510225920 11779996840 13421772800 13736345600 14058291200 14387782400 14724996050 17179869184 17582522368 17994612736 18416361472 18847994944 21474836480 21978152960 22493265920 23020451840 23559993680 26843545600 27472691200 28116582400 28775564800 29449992100 34359738368 35165044736 35989225472 36832722944 37695989888 38579489651 42949672960 43956305920 44986531840 46040903680 47119987360 53687091200 54945382400 56233164800 57551129600 58899984200 68719476736 70330089472 71978450944 73665445888 75391979776 77158979302 85899345920 87912611840 89973063680 92081807360 94239974720 107374182400 109890764800 112466329600 115102259200 117799968400 137438953472 140660178944 143956901888 147330891776 150783959552 154317958604 171798691840 175825223680 179946127360 184163614720 188479949440 192897448255 214748364800 219781529600 224932659200 230204518400 235599936800 274877906944 281320357888 287913803776 294661783552 301567919104 308635917208 343597383680 351650447360 359892254720 368327229440 376959898880 385794896510 429496729600 439563059200 449865318400 460409036800 471199873600 549755813888 562640715776 575827607552 589323567104 603135838208 617271834416 687194767360 703300894720 719784509440 736654458880 753919797760 771589793020 858993459200 879126118400 899730636800 920818073600 942399747200 964487241275 1099511627776 1125281431552 1151655215104 1178647134208 1206271676416 1234543668832 1374389534720 1406601789440 1439569018880 1473308917760 1507839595520 1543179586040 1717986918400 1758252236800 1799461273600 1841636147200 1884799494400 1928974482550 2250562863104 2303310430208 2357294268416 2412543352832 2469087337664 2748779069440 2813203578880 2879138037760 2946617835520 3015679191040 3086359172080 3435973836800 3516504473600 3598922547200 3683272294400 3769598988800 3857948965100 4501125726208 4606620860416 4714588536832 4825086705664 4938174675328 5053913144281 5497558138880 5626407157760 5758276075520 5893235671040 6031358382080 6172718344160 6871947673600 7033008947200 7197845094400 7366544588800 7539197977600 7715897930200 9002251452416 9213241720832 9429177073664 9650173411328 9876349350656 10107826288562 11252814315520 11516552151040 11786471342080 12062716764160 12345436688320 13743895347200 14066017894400 14395690188800 14733089177600 15078395955200 15431795860400 18004502904832 18426483441664 18858354147328 19300346822656 19752698701312 20215652577124 22505628631040 23033104302080 23572942684160 24125433528320 24690873376640 25269565721405 27487790694400 28132035788800 28791380377600 29466178355200 30156791910400 30863591720800 36009005809664 36852966883328 37716708294656 38600693645312 39505397402624 40431305154248 45011257262080 46066208604160 47145885368320 48250867056640 49381746753280 50539131442810 56264071577600 57582760755200 58932356710400 60313583820800 61727183441600 72018011619328 73705933766656 75433416589312 77201387290624 79010794805248 80862610308496 90022514524160 92132417208320 94291770736640 96501734113280 98763493506560 101078262885620 112528143155200 115165521510400 117864713420800 120627167641600 123454366883200 126347828607025 144036023238656 147411867533312 150866833178624 154402774581248 158021589610496 161725220616992 180045029048320 184264834416640 188583541473280 193003468226560 197526987013120 202156525771240 225056286310400 230331043020800 235729426841600 241254335283200 246908733766400 252695657214050 294823735066624 301733666357248 308805549162496 316043179220992 323450441233984 360090058096640 368529668833280 377167082946560 386006936453120 395053974026240 404313051542480 450112572620800 460662086041600 471458853683200 482508670566400 493817467532800 505391314428100 589647470133248 603467332714496 617611098324992 632086358441984 646900882467968 720180116193280 737059337666560 754334165893120 772013872906240 790107948052480 808626103084960 900225145241600 921324172083200 942917707366400 965017341132800 987634935065600 1010782628856200 1179294940266496 1206934665428992 1235222196649984 1264172716883968 1293801764935936 1474118675333120 1508668331786240 1544027745812480 1580215896104960 1617252206169920 1800450290483200 1842648344166400 1885835414732800 1930034682265600 1975269870131200 2021565257712400 2358589880532992 2413869330857984 2470444393299968 2528345433767936 2587603529871872 2948237350666240 3017336663572480 3088055491624960 3160431792209920 3234504412339840 3600900580966400 3685296688332800 3771670829465600 3860069364531200 3950539740262400 4043130515424800 4717179761065984 4827738661715968 4940888786599936 5056690867535872 5175207059743744 5896474701332480 6034673327144960 6176110983249920 6320863584419840 6469008824679680 7370593376665600 7543341658931200 7720138729062400 7901079480524800 8086261030849600 9434359522131968 9655477323431936 9881777573199872 10113381735071744 10350414119487488 11792949402664960 12069346654289920 12352221966499840 12641727168839680 12938017649359360 14741186753331200 15086683317862400 15440277458124800 15802158961049600 16172522061699200 18868719044263936 19310954646863872 19763555146399744 20226763470143488 20700828238974976 23585898805329920 24138693308579840 24704443932999680 25283454337679360 25876035298718720 29482373506662400 30173366635724800 30880554916249600 31604317922099200 32345044123398400 38621909293727744 39527110292799488 40453526940286976 41401656477949952 47171797610659840 48277386617159680 49408887865999360 50566908675358720 51752070597437440 58964747013324800 60346733271449600 61761109832499200 63208635844198400 64690088246796800 77243818587455488 79054220585598976 80907053880573952 82803312955899904 94343595221319680 96554773234319360 98817775731998720 101133817350717440 103504141194874880 117929494026649600 120693466542899200 123522219664998400 126417271688396800 129380176493593600 154487637174910976 158108441171197952 161814107761147904 165606625911799808 193109546468638720 197635551463997440 202267634701434880 207008282389749760 235858988053299200 241386933085798400 247044439329996800 252834543376793600 258760352987187200 308975274349821952 316216882342395904 323628215522295808 331213251823599616 386219092937277440 395271102927994880 404535269402869760 414016564779499520 471717976106598400 482773866171596800 494088878659993600 505669086753587200 517520705974374400 617950548699643904 632433764684791808 647256431044591616 662426503647199232 772438185874554880 790542205855989760 809070538805739520 828033129558999040 965547732343193600 988177757319987200 1011338173507174400 1035041411948748800 1235901097399287808 1264867529369583616 1294512862089183232 1324853007294398464 1544876371749109760 1581084411711979520 1618141077611479040 1656066259117998080 1931095464686387200 1976355514639974400 2022676347014348800 2070082823897497600 2471802194798575616 2529735058739167232 2589025724178366464 2649706014588796928 3089752743498219520 3162168823423959040 3236282155222958080 3312132518235996160 3862190929372774400 3952711029279948800 4045352694028697600 4140165647794995200 5059470117478334464 5178051448356732928 5299412029177593856 6179505486996439040 6324337646847918080 6472564310445916160 6624265036471992320 7724381858745548800 7905422058559897600 8090705388057395200 8280331295589990400 10118940234956668928 10356102896713465856 10598824058355187712 12359010973992878080 12648675293695836160 12945128620891832320 13248530072943984640 15448763717491097600 15810844117119795200 16181410776114790400 16560662591179980800 20237880469913337856 20712205793426931712 21197648116710375424 25297350587391672320 25890257241783664640 26497060145887969280 30897527434982195200 31621688234239590400 32362821552229580800 33121325182359961600 40475760939826675712 41424411586853863424 42395296233420750848 50594701174783344640 51780514483567329280 52994120291775938560 61795054869964390400 63243376468479180800 64725643104459161600 66242650364719923200 80951521879653351424 82848823173707726848 84790592466841501696 101189402349566689280 103561028967134658560 105988240583551877120 126486752936958361600 129451286208918323200 132485300729439846400 161903043759306702848 165697646347415453696 169581184933683003392 202378804699133378560 207122057934269317120 211976481167103754240 252973505873916723200 258902572417836646400 264970601458879692800 323806087518613405696 331395292694830907392 339162369867366006784 404757609398266757120 414244115868538634240 423952962334207508480 505947011747833446400 517805144835673292800 529941202917759385600 662790585389661814784 678324739734732013568 809515218796533514240 828488231737077268480 847905924668415016960 1011894023495666892800 1035610289671346585600 1059882405835518771200 1325581170779323629568 1356649479469464027136 1619030437593067028480 1656976463474154536960 1695811849336830033920 2023788046991333785600 2071220579342693171200 2119764811671037542400 2651162341558647259136 2713298958938928054272 3313952926948309073920 3391623698673660067840 4047576093982667571200 4142441158685386342400 4239529623342075084800 5302324683117294518272 5426597917877856108544 6627905853896618147840 6783247397347320135680 8095152187965335142400 8284882317370772684800 8479059246684150169600 10604649366234589036544 10853195835755712217088 13255811707793236295680 13566494794694640271360 16569764634741545369600 16958118493368300339200 21209298732469178073088 21706391671511424434176 26511623415586472591360 27132989589389280542720 33139529269483090739200 33916236986736600678400 42418597464938356146176 43412783343022848868352 53023246831172945182720 54265979178778561085440 66279058538966181478400 67832473973473201356800 86825566686045697736704 106046493662345890365440 108531958357557122170880 132558117077932362956800 135664947946946402713600 173651133372091395473408 212092987324691780730880 217063916715114244341760 265116234155864725913600 271329895893892805427200 347302266744182790946816 434127833430228488683520 530232468311729451827200 542659791787785610854400 694604533488365581893632 868255666860456977367040 1060464936623458903654400 1085319583575571221708800 1389209066976731163787264 1736511333720913954734080 2170639167151142443417600 2778418133953462327574528 3473022667441827909468160 4341278334302284886835200 5556836267906924655149056 6946045334883655818936320 8682556668604569773670400 13892090669767311637872640 17365113337209139547340800 27784181339534623275745280 34730226674418279094681600 69460453348836558189363200 138920906697673116378726400
- Sum of all divisors σ(n): 347174032060918845677852197
- Sum of proper divisors (its aliquot sum) s(n): 208253125363245729299125797
- 138920906697673116378726400 is an abundant number, because the sum of its proper divisors (208253125363245729299125797) is greater than itself. Its abundance is 69332218665572612920399397
Bases of 138920906697673116378726400
- Binary: 1110010111010011010010101110001001110000011000100000000000000000000000000000000000000002
- Hexadecimal: 0x72E9A57138310000000000
- Base-36: HGE301CDHLEVOGQV4
Squares and roots of 138920906697673116378726400
- 138920906697673116378726400 squared (1389209066976731163787264002) is 19299018317703599325099998545840711342358486056960000
- 138920906697673116378726400 cubed (1389209066976731163787264003) is 2681037123070386110466276175142827587874627070972526142292433621162655744000000
-
138920906697673116378726400 is a
perfect square number . Itssquare root is 11786471342080 -
The
cube root of 138920906697673116378726400 is 517911875.9785895899 - Being both a perfect square and a perfect cube, 138920906697673116378726400 is also a
perfect sixth number .
Scales and comparisons
How big is 138920906697673116378726400?- 138,920,906,697,673,116,378,726,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,920,906,697,673,116,378,726,400 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 138920906697673116378726400 cubic inches would be around 43159323 feet tall.
Recreational maths with 138920906697673116378726400
- 138920906697673116378726400 backwards is 004627873611376796609029831
- The number of decimal digits it has is: 27
- The sum of 138920906697673116378726400's digits is 121
- More coming soon!
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The information we have on file for 138920906697673116378726400 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138920906697673116378726400, math, Factors of 138920906697673116378726400, curriculum, school, college, exams, university, Prime factorization of 138920906697673116378726400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight septillion, nine hundred twenty sextillion, nine hundred six quintillion, six hundred ninety-seven quadrillion, six hundred seventy-three trillion, one hundred sixteen billion, three hundred seventy-eight million, seven hundred twenty-six thousand, four hundred.