42054476420272413294400
42,054,476,420,272,413,294,400 is an even composite number composed of seven prime numbers multiplied together.
42054476420272413294400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 42054476420272413294400:
26 × 52 × 73 × 31 × 41 × 811 × 74341569023
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 31 × 41 × 811 × 74341569023)See below for interesting mathematical facts about the number 42054476420272413294400 from the Numbermatics database.
Names of 42054476420272413294400
- Cardinal: 42054476420272413294400 can be written as Forty-two sextillion, fifty-four quintillion, four hundred seventy-six quadrillion, four hundred twenty trillion, two hundred seventy-two billion, four hundred thirteen million, two hundred ninety-four thousand, four hundred.
Scientific notation
- Scientific notation: 4.20544764202724132944 × 1022
Factors of 42054476420272413294400
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 74341569920
Divisors of 42054476420272413294400
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 41 49 50 56 62 64 70 80 82 98 100 112 124 140 155 160 164 175 196 200 205 217 224 245 248 280 287 310 320 328 343 350 392 400 410 434 448 490 496 560 574 620 656 686 700 775 784 800 811 820 868 980 992 1025 1085 1120 1148 1225 1240 1271 1312 1372 1400 1435 1519 1550 1568 1600 1622 1640 1715 1736 1960 1984 2009 2050 2170 2240 2296 2450 2480 2542 2624 2744 2800 2870 3038 3100 3136 3244 3280 3430 3472 3920 4018 4055 4100 4340 4592 4900 4960 5084 5425 5488 5600 5677 5740 6076 6200 6355 6488 6560 6860 6944 7175 7595 7840 8036 8110 8200 8575 8680 8897 9184 9800 9920 10045 10168 10633 10850 10976 11200 11354 11480 12152 12400 12710 12976 13120 13720 13888 14063 14350 15190 15680 16072 16220 16400 17150 17360 17794 18368 19600 20090 20275 20336 21266 21700 21952 22708 22960 24304 24800 25141 25420 25952 27440 28126 28385 28700 30380 31775 32144 32440 32800 33251 34300 34720 35588 37975 39200 39739 40180 40550 40672 42532 43400 44485 45416 45920 48608 49600 50225 50282 50840 51904 53165 54880 56252 56770 57400 60760 62279 63550 64288 64880 65600 66502 68600 69440 70315 71176 75950 78400 79478 80360 81100 81344 85064 86800 88970 90832 91840 97216 100450 100564 101680 106330 109760 112504 113540 114800 121520 124558 125705 127100 128576 129760 133004 137200 140630 141925 142352 151900 158956 160720 162200 166255 170128 173600 175987 177940 181664 198695 200900 201128 203360 212660 222425 225008 227080 229600 232757 243040 249116 251410 254200 259520 265825 266008 274400 278173 281260 283850 284704 303800 311395 317912 321440 324400 332510 340256 347200 351575 351974 355880 363328 397390 401800 402256 406720 425320 435953 444850 450016 454160 459200 465514 486080 498232 502820 508400 531650 532016 548800 556346 562520 567700 569408 607600 622790 628525 635824 642880 648800 665020 680512 703150 703948 711760 794780 803600 804512 831275 850640 871906 879935 889700 900032 908320 931028 993475 996464 1005640 1016800 1030781 1063300 1064032 1112692 1125040 1135400 1163785 1215200 1231909 1245580 1257050 1271648 1297600 1330040 1390865 1406300 1407896 1423520 1556975 1589560 1607200 1609024 1629299 1662550 1701280 1743812 1759870 1779400 1816640 1862056 1986950 1992928 2011280 2033600 2061562 2126600 2128064 2179765 2225384 2250080 2270800 2327570 2430400 2463818 2491160 2514100 2543296 2660080 2781730 2812600 2815792 2847040 3113950 3179120 3214400 3258598 3325100 3402560 3487624 3519740 3558800 3724112 3973900 3985856 4022560 4123124 4253200 4359530 4399675 4450768 4500160 4541600 4655140 4927636 4982320 5028200 5153905 5320160 5563460 5625200 5631584 5818925 6159545 6227900 6358240 6517196 6650200 6954325 6975248 7039480 7117600 7215467 7448224 7947800 8045120 8146495 8246248 8506400 8623363 8719060 8799350 8901536 9083200 9310280 9855272 9964640 10056400 10307810 10640320 10898825 11126920 11250400 11263168 11405093 11637850 12319090 12455800 12716480 13034392 13300400 13908650 13950496 14078960 14235200 14430934 14896448 15895600 16292990 16492496 17012800 17246726 17438120 17598700 17803072 18620560 19710544 19929280 20112800 20615620 21797650 22253840 22500800 22810186 23275700 24638180 24911600 25769525 26068784 26600800 27817300 27900992 28157920 28861868 30797725 31791200 32585980 32984992 34493452 34876240 35197400 36077335 37241120 39421088 40225600 40732475 41231240 43116815 43595300 44507680 45620372 46551400 49276360 49823200 50508269 51539050 52137568 53201600 55634600 56315840 57025465 57723736 61595450 63582400 65171960 65969984 68986904 69752480 70394800 72154670 74482240 78842176 81464950 82462480 86233630 87190600 89015360 91240744 93102800 98552720 99646400 101016538 103078100 104275136 111269200 114050930 115447472 123190900 130343920 137973808 139504960 140789600 144309340 162929900 164924960 172467260 174381200 180386675 182481488 186205600 197105440 202033076 206156200 215584075 222538400 228101860 230894944 246381800 252541345 260687840 275947616 281579200 285127325 288618680 325859800 329849920 344934520 348762400 353557883 360773350 364962976 372411200 394210880 404066152 412312400 431168150 445076800 456203720 461789888 492763600 505082690 521375680 551895232 570254650 577237360 651719600 689869040 697524800 707115766 721546700 729925952 808132304 824624800 862336300 912407440 985527200 1010165380 1140509300 1154474720 1262706725 1303439200 1379738080 1414231532 1443093400 1616264608 1649249600 1724672600 1767789415 1824814880 1971054400 2020330760 2281018600 2308949440 2525413450 2606878400 2759476160 2828463064 2886186800 3232529216 3449345200 3535578830 3649629760 4040661520 4562037200 5050826900 5656926128 5772373600 6898690400 7071157660 8081323040 8838947075 9124074400 10101653800 11313852256 11544747200 13797380800 14142315320 16162646080 17677894150 18248148800 20203307600 22627704512 28284630640 35355788300 40406615200 56569261280 70711576600 74341569023 80813230400 113138522560 141423153200 148683138046 282846306400 297366276092 371707845115 520390983161 565692612800 594732552184 743415690230 1040781966322 1189465104368 1486831380460 1858539225575 2081563932644 2304588639713 2378930208736 2601954915805 2973662760920 3048004329943 3642736882127 3717078451150 4163127865288 4609177279426 4757860417472 5203909831610 5947325521840 6096008659886 7285473764254 7434156902300 8326255730576 9218354558852 10407819663220 11522943198565 11894651043680 12192017319772 13009774579025 14570947528508 14868313804600 15240021649715 16132120477991 16652511461152 18213684410635 18436709117704 20815639326440 21336030309601 23045886397130 23789302087360 24384034639544 25499158174889 26019549158050 29141895057016 29736627609200 30480043299430 32264240955982 33305022922304 36427368821270 36873418235408 41631278652880 42672060619202 46091772794260 48768069279088 50998316349778 52039098316100 57614715992825 58283790114032 59473255218400 60291012477653 60960086598860 64528481911964 72854737642540 73746836470816 76200108248575 80660602389955 83262557305760 85344121238404 91068422053175 92183545588520 94488134228233 97536138558176 101996632699556 104078196632200 106680151548005 112924843345937 115229431985650 116567580228064 118946510436800 120582024955306 121920173197720 127495790874445 129056963823928 145709475285080 147493672941632 149352212167207 152400216497150 161321204779910 166525114611520 170688242476808 182136844106350 184367091177040 188976268456466 195072277116352 203993265399112 208156393264400 213360303096010 225849686691874 230458863971300 233135160456128 241164049910612 243840346395440 254991581748890 258113927647856 291418950570160 298704424334414 301455062388265 304800432994300 322642409559820 341376484953616 364273688212700 368734182354080 377952536912932 403303011949775 407986530798224 416312786528800 422037087343571 426720606192020 451699373383748 460917727942600 472440671141165 482328099821224 487680692790880 509983163497780 516227855295712 533400757740025 564624216729685 582837901140320 597408848668828 602910124776530 609600865988600 637478954372225 645284819119640 661416939597631 682752969907232 728547376425400 737468364708160 746761060836035 755905073825864 790473903421559 806606023899550 815973061596448 832625573057600 844074174687142 853441212384040 903398746767496 921835455885200 944881342282330 964656199642448 975361385581760 1019966326995560 1032455710591424 1045465485170449 1066801515480050 1129248433459370 1165675802280640 1194817697337656 1205820249553060 1219201731977200 1274957908744450 1290569638239280 1322833879195262 1365505939814464 1457094752850800 1493522121672070 1507275311941325 1511810147651728 1580947806843118 1613212047799100 1631946123192896 1688148349374284 1706882424768080 1806797493534992 1843670911770400 1869021386807243 1889762684564660 1929312399284896 2039932653991120 2090930970340898 2110185436717855 2133603030960100 2258496866918740 2362203355705825 2389635394675312 2411640499106120 2438403463954400 2471931511583773 2549915817488900 2581139276478560 2645667758390524 2823121083648425 2914189505701600 2954259611404997 2987044243344140 3014550623882650 3023620295303456 3161895613686236 3226424095598200 3307084697988155 3376296698748568 3413764849536160 3613594987069984 3687341823540800 3733805304180175 3738042773614486 3779525369129320 3858624798569792 3952369517107795 4079865307982240 4181861940681796 4220370873435710 4267206061920200 4516993733837480 4629918577183417 4724406711411650 4779270789350624 4823280998212240 4876806927908800 4943863023167546 5099831634977800 5162278552957120 5227327425852245 5291335516781048 5646242167296850 5828379011403200 5908519222809994 5974088486688280 6029101247765300 6047240590606912 6323791227372472 6452848191196400 6614169395976310 6752593397497136 6827529699072320 7227189974139968 7467610608360350 7476085547228972 7559050738258640 7904739034215590 8159730615964480 8363723881363592 8440741746871420 8534412123840400 9033987467674960 9259837154366834 9345106934036215 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30236202953034560 31618956136862360 32409430040283919 33070846979881550 33454895525454368 33762966987485680 34137648495361600 34607041162172822 36135949870699840 37039348617467336 37380427736144860 37795253691293200 39523695171077950 39550904185340368 40798653079822400 41359634559669958 41818619406817960 42203708734357100 42330684134248384 45169937338374800 46299185771834170 46725534670181075 47268153782479952 47792707893506240 48232809982122400 49438630231675460 50590329818979776 52273274258522450 52332598830602804 52913355167810480 59085192228099940 59740884866882800 59808684377831776 61798287789594325 63237912273724720 64818860080567838 65415748538253505 66141693959763100 66909791050908736 67525933974971360 69214082324345644 73856490285124925 74078697234934672 74760855472289720 75590507382586400 76629876859096963 79047390342155900 79101808370680736 82719269119339916 83637238813635920 84407417468714200 86517602905432055 90339874676749600 91582047953554907 92598371543668340 93451069340362150 94536307564959904 96465619964244800 98877260463350920 103399086399174895 104546548517044900 104665197661205608 105826710335620960 115747964429585425 118170384456199880 119481769733765600 119617368755663552 121124644067604877 123596575579188650 126475824547449440 129637720161135676 130831497076507010 132283387919526200 135051867949942720 138428164648691288 147712980570249850 148157394469869344 149521710944579440 151181014765172800 153259753718193926 158094780684311800 158203616741361472 162047150201419595 165438538238679832 167274477627271840 168814834937428400 173035205810864110 180679749353499200 183164095907109814 185196743087336680 186902138680724300 189072615129919808 197754520926701840 206798172798349790 209093097034089800 209330395322411216 211653420671241920 231495928859170850 236340768912399760 238963539467531200 242249288135209754 247193151158377300 252951649094898880 259275440322271352 261662994153014020 264566775839052400 276856329297382576 295425961140499700 296314788939738688 299043421889158880 306519507436387852 316189561368623600 324094300402839190 327078742691267525 330877076477359664 334548955254543680 337629669874856800 346070411621728220 366328191814219628 370393486174673360 373804277361448600 383149384295484815 395509041853403680 413596345596699580 418186194068179600 418660790644822432 432588014527160275 457910239767774535 462991857718341700 472681537824799520 484498576270419508 494386302316754600 516995431995874475 518550880644542704 523325988306028040 529133551678104800 536409138013678741 553712658594765152 590851922280999400 598086843778317760 605623220338024385 613039014872775704 632379122737247200 641074335674884349 648188600805678380 654157485382535050 661754152954719328 675259339749713600 692140823243456440 732656383628439256 740786972349346720 747608554722897200 766298768590969630 791018083706807360 810235751007097975 827192691193399160 836372388136359200 837321581289644864 847872508473234139 865176029054320550 915820479535549070 925983715436683400 945363075649599040 968997152540839016 988772604633509200 1033990863991748950 1037101761289085408 1046651976612056080 1058267103356209600 1072818276027357482 1107425317189530304 1181703844561998800 1211246440676048770 1226078029745551408 1264758245474494400 1282148671349768698 1296377201611356760 1308314970765070100 1323508305909438656 1384281646486912880 1465312767256878512 1481573944698693440 1495217109445794400 1532597537181939260 1620471502014195950 1654385382386798320 1672744776272718400 1695745016946468278 1730352058108641100 1831640959071098140 1851967430873366800 1915746921477424075 1937994305081678032 1977545209267018400 2067981727983497900 2074203522578170816 2093303953224112160 2145636552054714964 2289551198838872675 2363407689123997600 2422492881352097540 2452156059491102816 2564297342699537396 2592754403222713520 2616629941530140200 2682045690068393705 2768563292973825760 2930625534513757024 2990434218891588800 3028116101690121925 3065195074363878520 3205371678374421745 3240943004028391900 3308770764773596640 3391490033892936556 3460704116217282200 3663281918142196280 3703934861746733600 3754863966095751187 3831493842954848150 3875988610163356064 3955090418534036800 4135963455966995800 4186607906448224320 4239362542366170695 4291273104109429928 4579102397677745350 4726815378247995200 4844985762704195080 4904312118982205632 5128594685399074792 5185508806445427040 5233259883060280400 5364091380136787410 5537126585947651520 5861251069027514048 6056232203380243850 6130390148727757040 6410743356748843490 6481886008056783800 6617541529547193280 6782980067785873112 6921408232434564400 7326563836284392560 7407869723493467200 7509727932191502374 7662987685909696300 7751977220326712128 8271926911933991600 8478725084732341390 8582546208218859856 9158204795355490700 9689971525408390160 10257189370798149584 10371017612890854080 10466519766120560800 10728182760273574820 12112464406760487700 12260780297455514080 12821486713497686980 12963772016113567600 13410228450341968525 13565960135571746224 13842816464869128800 14653127672568785120 15019455864383004748 15325975371819392600 16026858391872108725 16543853823867983200 16957450169464682780 17165092416437719712 18316409590710981400 18774319830478755935 19379943050816780320 20514378741596299168 20933039532241121600 21196812711830853475 21456365520547149640 24224928813520975400 24521560594911028160 25642973426995373960 25927544032227135200 26284047762670258309 26820456900683937050 27131920271143492448 27685632929738257600 29306255345137570240 30038911728766009496 30651950743638785200 32053716783744217450 33087707647735966400 33914900338929365560 34330184832875439424 36632819181421962800 37548639660957511870 38759886101633560640 41028757483192598336 42393625423661706950 42912731041094299280 48449857627041950800 51285946853990747920 51855088064454270400 52568095525340516618 53640913801367874100 54263840542286984896 60077823457532018992 61303901487277570400 64107433567488434900 67829800677858731120 73265638362843925600 75097279321915023740 84787250847323413900 85825462082188598560 93871599152393779675 96899715254083901600 102571893707981495840 105136191050681033236 107281827602735748200 120155646915064037984 122607802974555140800 128214867134976869800 131420238813351291545 135659601355717462240 146531276725687851200 150194558643830047480 169574501694646827800 171650924164377197120 187743198304787559350 193799430508167803200 205143787415962991680 210272382101362066472 214563655205471496400 240311293830128075968 256429734269953739600 262840477626702583090 271319202711434924480 300389117287660094960 339149003389293655600 375486396609575118700 420544764202724132944 429127310410942992800 512859468539907479200 525680955253405166180 600778234575320189920 657101194066756457725 678298006778587311200 750972793219150237400 841089528405448265888 858254620821885985600 1025718937079814958400 1051361910506810332360 1201556469150640379840 1314202388133512915450 1356596013557174622400 1501945586438300474800 1682179056810896531776 2102723821013620664720 2628404776267025830900 3003891172876600949600 4205447642027241329440 5256809552534051661800 6007782345753201899200 8410895284054482658880 10513619105068103323600 21027238210136206647200 42054476420272413294400
- Sum of all divisors σ(n): 127765155240554633625600
- Sum of proper divisors (its aliquot sum) s(n): 85710678820282220331200
- 42054476420272413294400 is an abundant number, because the sum of its proper divisors (85710678820282220331200) is greater than itself. Its abundance is 43656202400009807036800
Bases of 42054476420272413294400
- Binary: 10001110011111000111000110011010001000010010100000100101010100111111010000002
- Hexadecimal: 0x8E7C719A21282553F40
- Base-36: 6UJA72AF6GY23B4
Squares and roots of 42054476420272413294400
- 42054476420272413294400 squared (420544764202724132944002) is 1768578986983248413331752845098965861071360000
- 42054476420272413294400 cubed (420544764202724132944003) is 74376663305476291761713335079371648043470487241578781891088384000000
-
The
square root of 42054476420272413294400 is 205071881105.8025412153 -
The
cube root of 42054476420272413294400 is 34775288.6454048403
Scales and comparisons
How big is 42054476420272413294400?- 42,054,476,420,272,413,294,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,054,476,420,272,413,294,400 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 42054476420272413294400 cubic inches would be around 2897940.7 feet tall.
Recreational maths with 42054476420272413294400
- 42054476420272413294400 backwards is 00449231427202467445024
- The number of decimal digits it has is: 23
- The sum of 42054476420272413294400's digits is 76
- More coming soon!
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"Number 42054476420272413294400 - Facts about the integer". Numbermatics.com. 2024. Web. 27 June 2024.
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Numbermatics. (2024). Number 42054476420272413294400 - Facts about the integer. Retrieved 27 June 2024, from https://numbermatics.com/n/42054476420272413294400/
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Numbermatics. 2024. "Number 42054476420272413294400 - Facts about the integer". https://numbermatics.com/n/42054476420272413294400/
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