42120125862653970056250
42,120,125,862,653,970,056,250 is an even composite number composed of five prime numbers multiplied together.
42120125862653970056250 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred sixty divisors.
Prime factorization of 42120125862653970056250:
2 × 34 × 55 × 132 × 2816
(2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 13 × 13 × 281 × 281 × 281 × 281 × 281 × 281)See below for interesting mathematical facts about the number 42120125862653970056250 from the Numbermatics database.
Names of 42120125862653970056250
- Cardinal: 42120125862653970056250 can be written as Forty-two sextillion, one hundred twenty quintillion, one hundred twenty-five quadrillion, eight hundred sixty-two trillion, six hundred fifty-three billion, nine hundred seventy million, fifty-six thousand, two hundred fifty.
Scientific notation
- Scientific notation: 4.212012586265397005625 × 1022
Factors of 42120125862653970056250
Divisors of 42120125862653970056250
- Number of divisors d(n): 1260
-
Complete list of divisors:
1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 81 90 117 125 130 135 150 162 169 195 225 234 250 270 281 325 338 351 375 390 405 450 507 562 585 625 650 675 702 750 810 843 845 975 1014 1053 1125 1170 1250 1350 1405 1521 1625 1686 1690 1755 1875 1950 2025 2106 2250 2529 2535 2810 2925 3042 3125 3250 3375 3510 3653 3750 4050 4215 4225 4563 4875 5058 5070 5265 5625 5850 6250 6750 7025 7306 7587 7605 8125 8430 8450 8775 9126 9375 9750 10125 10530 10959 11250 12645 12675 13689 14050 14625 15174 15210 16250 16875 17550 18265 18750 20250 21075 21125 21918 22761 22815 24375 25290 25350 26325 27378 28125 29250 32877 33750 35125 36530 37935 38025 40625 42150 42250 43875 45522 45630 47489 48750 50625 52650 54795 56250 63225 63375 65754 68445 70250 73125 75870 76050 78961 81250 84375 87750 91325 94978 98631 101250 105375 105625 109590 113805 114075 121875 126450 126750 131625 136890 142467 146250 157922 164385 168750 175625 182650 189675 190125 197262 210750 211250 219375 227610 228150 236883 237445 243750 253125 263250 273975 284934 295893 316125 316875 328770 342225 351250 365625 379350 380250 394805 427401 438750 456625 473766 474890 493155 506250 526875 528125 547950 569025 570375 591786 632250 633750 658125 684450 710649 712335 731250 789610 821925 854802 878125 913250 948375 950625 986310 1026493 1053750 1056250 1096875 1138050 1140750 1184415 1187225 1282203 1316250 1369875 1421298 1424670 1479465 1580625 1584375 1643850 1711125 1756250 1896750 1901250 1974025 2052986 2131947 2137005 2193750 2283125 2368830 2374450 2465775 2564406 2634375 2739750 2845125 2851875 2958930 3079479 3161250 3168750 3290625 3422250 3553245 3561675 3846609 3948050 4109625 4263894 4274010 4566250 4741875 4753125 4931550 5132465 5268750 5690250 5703750 5922075 5936125 6158958 6395841 6411015 6581250 6849375 7106490 7123350 7397325 7693218 7903125 8219250 8555625 9238437 9483750 9506250 9870125 10264930 10659735 10685025 11415625 11844150 11872250 12328875 12791682 12822030 13344409 13698750 14225625 14259375 14794650 15397395 15806250 17111250 17766225 17808375 18476874 19233045 19740250 20548125 21319470 21370050 22188041 22831250 23709375 24657750 25662325 26688818 27715311 28451250 28518750 29610375 29680625 30794790 31979205 32055075 34246875 35532450 35616750 36986625 38466090 40033227 41096250 42778125 44376082 46192185 47418750 49350625 51324650 53298675 53425125 55430622 59220750 59361250 61644375 63958410 64110150 66564123 66722045 68493750 71128125 73973250 76986975 80066454 83145933 85556250 88831125 89041875 92384370 96165225 98701250 102740625 106597350 106850250 110940205 120099681 123288750 128311625 133128246 133444090 138576555 142256250 148051875 148403125 153973950 159896025 160275375 166291866 177662250 178083750 184933125 192330450 199692369 200166135 205481250 221880410 230960925 240199362 246753125 256623250 266493375 267125625 277153110 288444533 296103750 296806250 308221875 319792050 320550750 332820615 333610225 360299043 369866250 384934875 399384738 400332270 415729665 444155625 445209375 461921850 480826125 493506250 532986750 534251250 554701025 576889066 599077107 600498405 616443750 641558125 665641230 667220450 692882775 720598086 740259375 769869750 799480125 801376875 831459330 865333599 888311250 890418750 924665625 961652250 998461845 1000830675 1080897129 1109402050 1154804625 1198154214 1200996810 1283116250 1332466875 1335628125 1385765550 1442222665 1480518750 1598960250 1602753750 1664103075 1668051125 1730667198 1797231321 1801495215 1849331250 1924674375 1996923690 2001661350 2078648325 2161794258 2220778125 2309609250 2404130625 2596000797 2664933750 2671256250 2773505125 2884445330 2995385535 3002492025 3207790625 3328206150 3336102250 3464413875 3594462642 3602990430 3749778929 3849348750 3997400625 4006884375 4157296650 4326667995 4441556250 4808261250 4992309225 5004153375 5192001594 5404485645 5547010250 5774023125 5990771070 6004984050 6234839521 6415581250 6662334375 6928827750 7211113325 7499557858 7788002391 7994801250 8013768750 8320515375 8340255625 8653335990 8986156605 9007476075 9623371875 9984618450 10008306750 10393241625 10808971290 11249336787 11548046250 12020653125 12469679042 12980003985 13324668750 13867525625 14422226650 14976927675 15012460125 15576004782 16641030750 16680511250 17322069375 17972313210 18014952150 18704518563 18748894645 19246743750 19987003125 20786483250 21633339975 22498673574 23364007173 24041306250 24961546125 25020766875 25960007970 27022428225 27735051250 28870115625 29953855350 30024920250 31174197605 33748010361 34644138750 36055566625 37409037126 37497789290 38940011955 39974006250 41602576875 41701278125 43266679950 44930783025 45037380375 46728014346 49923092250 50041533750 51966208125 54044856450 56113555689 56246683935 57740231250 62348395210 64900019925 67496020722 69337628125 72111133250 74884638375 75062300625 77880023910 81052913773 83205153750 83402556250 86610346875 89861566050 90074760750 93522592815 93744473225 101244031083 103932416250 108166699875 112227111378 112493367870 116820035865 124807730625 125103834375 129800039850 135112141125 138675256250 149769276750 150124601250 155870988025 162105827546 168340667067 168740051805 173220693750 180277833125 187045185630 187488946450 194700059775 202488062166 208012884375 216333399750 224653915125 225186901875 233640071730 243158741319 249615461250 250207668750 259831040625 270224282250 280567778445 281233419675 303732093249 311741976050 324500099625 336681334134 337480103610 360555666250 374423191875 375311503125 389400119550 405264568865 416025768750 449307830250 450373803750 467612964075 468722366125 486317482638 505022001201 506220155415 519662081250 540833499375 561135556890 562466839350 584100179325 607464186498 624038653125 649000199250 675560705625 729476223957 748846383750 750623006250 779354940125 810529137730 841703335335 843700259025 901389165625 935225928150 937444732250 973500298875 1010044002402 1012440310830 1053687879049 1081666998750 1123269575625 1125934509375 1168200358650 1215793706595 1248077306250 1351121411250 1402838892225 1406167098375 1458952447914 1518660466245 1558709880250 1622500498125 1683406670670 1687400518050 1751989905401 1802778331250 1872115959375 1947000597750 2026322844325 2107375758098 2188428671871 2246539151250 2251869018750 2338064820375 2343611830625 2431587413190 2525110006005 2531100777075 2704167496875 2805677784450 2812334196750 2920500896625 3037320932490 3161063637147 3245000996250 3377803528125 3503979810802 3647381119785 3744231918750 3896774700625 4052645688650 4208516676675 4218501295125 4376857343742 4676129640750 4687223661250 4867501494375 5050220012010 5062201554150 5255969716203 5268439395245 5408334993750 5616347878125 5841001793250 6078968532975 6322127274294 6565286015613 6755607056250 7014194461125 7030835491875 7294762239570 7593302331225 7793549401250 8112502490625 8417033353350 8437002590250 8759949527005 9483190911441 9735002988750 10131614221625 10511939432406 10536878790490 10942143359355 11232695756250 11690324101875 11718059153125 12157937065950 12625550030025 12655503885375 13130572031226 14028388922250 14061670983750 14602504483125 15186604662450 15767909148609 15805318185735 16225004981250 17519899054010 18236905598925 18966381822882 19483873503125 20263228443250 21042583383375 21092506475625 21884286718710 22775868770213 23380648203750 23436118306250 24337507471875 25251100060050 25311007770750 26279848581015 26342196976225 28449572734323 29205008966250 30394842664875 31535818297218 31610636371470 32826430078065 35070972305625 35154177459375 36473811197850 37966511656125 38967747006250 42085166766750 42185012951250 43799747635025 45551737540426 47303727445827 47415954557205 48675014943750 50658071108125 52559697162030 52684393952450 54710716796775 56899145468646 58451620509375 60789685329750 63127750150125 63277519426875 65652860156130 68327606310639 70141944611250 70308354918750 73012522415625 75933023312250 78839545743045 79026590928675 85348718202969 87599495270050 91184527994625 94607454891654 94831909114410 101316142216250 105212916916875 105462532378125 109421433593550 113879343851065 116903241018750 126255500300250 126555038853750 131399242905075 131710984881125 136655212621278 141911182337481 142247863671615 146025044831250 151974213324375 157679091486090 158053181857350 164132150390325 170697436405938 175354861528125 182369055989250 189832558280625 204982818931917 210425833833750 210925064756250 218998738175125 227758687702130 236518637229135 237079772786025 253290355540625 262798485810150 263421969762250 273553583983875 283822364674962 284495727343230 296086294012769 303948426648750 315638750750625 316387597134375 328264300780650 341638031553195 350709723056250 379665116561250 394197728715225 395132954643375 409965637863834 426743591014845 437997476350250 455922639973125 473037274458270 474159545572050 492309163417681 506580711081250 526064584584375 547107167967750 569396719255325 592172588025538 614948456795751 631277501501250 632775194268750 656996214525375 658554924405625 683276063106390 709555911687405 711239318358075 759871066621875 788395457430450 790265909286750 820660751951625 853487182029690 888258882038307 911845279946250 949162791403125 984618326835362 1024914094659585 1052129169168750 1094993690875625 1138793438510650 1182593186145675 1185398863930125 1229896913591502 1313992429050750 1317109848811250 1367767919919375 1419111823374810 1422478636716150 1476927490253043 1480431470063845 1519742133243750 1578193753753125 1641321503903250 1708190157765975 1776517764076614 1844845370387253 1898325582806250 1970988643576125 1975664773216875 2049828189319170 2133717955074225 2189987381751250 2279613199865625 2365186372291350 2370797727860250 2461545817088405 2664776646114921 2735535839838750 2846983596276625 2953854980506086 2960862940127690 3074742283978755 3156387507506250 3284981072626875 3292774622028125 3416380315531950 3547779558437025 3556196591790375 3689690740774506 3941977287152250 3951329546433750 4103303759758125 4267435910148450 4430782470759129 4441294410191535 4559226399731250 4923091634176810 5124570473297925 5329553292229842 5474968454378125 5693967192553250 5912965930728375 5926994319650625 6149484567957510 6400019124429853 6569962145253750 6585549244056250 6838839599596875 7095559116874050 7112393183580750 7384637451265215 7402157350319225 7994329938344763 8206607519516250 8540950788829875 8861564941518258 8882588820383070 9224226851936265 9854943217880625 9878323866084375 10249140946595850 10668589775371125 10949936908756250 11825931861456750 11853988639301250 12307729085442025 12800038248859706 13292347412277387 13323883230574605 13677679199193750 14234917981383125 14769274902530430 14804314700638450 15373711419893775 15988659876689526 16424905363134375 17081901577659750 17738897792185125 17780982958951875 18448453703872530 19200057373289559 19709886435761250 19756647732168750 20516518798790625 21337179550742250 22153912353795645 22206472050957675 23982989815034289 24615458170884050 25622852366489625 26584694824554774 26647766461149210 28469835962766250 29564829653641875 29634971598253125 30747422839787550 32000095622149265 32849810726268750 35477795584370250 35561965917903750 36923187256326075 37010786751596125 38400114746579118 39877042236832161 39971649691723815 41033037597581250 42704753944149375 44307824707591290 44412944101915350 46121134259681325 47965979630068578 49274716089403125 51245704732979250 53342948876855625 57600172119868677 59129659307283750 59269943196506250 61538645427210125 64000191244298530 66461737061386935 66619416152873025 71174589906915625 73846374512652150 74021573503192250 76868557099468875 79754084473664322 79943299383447630 83200248617588089 85409507888298750 88694488960925625 88904914794759375 92242268519362650 96000286866447795 98549432178806250 106685897753711250 110769561768978225 111032360254788375 115200344239737354 119914949075171445 123077290854420250 128114261832448125 132923474122773870 133238832305746050 142349179813831250 147824148268209375 153737114198937750 160000478110746325 166400497235176178 172800516359606031 177388977921851250 177809829589518750 184615936281630375 185053933757980625 192000573732895590 199385211184160805 199858248458619075 213523769720746875 221539123537956450 222064720509576750 230605671298406625 239829898150342890 249600745852764267 256228523664896250 266714744384278125 288000860599343385 295648296536418750 307693227136050625 320000956221492650 332308685306934675 333097080764365125 345601032719212062 369231872563260750 370107867515961250 384342785497344375 398770422368321610 399716496917238150 416001243087940445 427047539441493750 443472444804628125 461211342596813250 480001434332238975 499201491705528534 518401549078818093 533429488768556250 553847808844891125 555161801273941875 576001721198686770 599574745375857225 615386454272101250 640571309162240625 664617370613869350 666194161528730250 748802237558292801 768685570994688750 800002390553731625 832002486175880890 864002581798030155 886944889609256250 923079681408151875 925269668789903125 960002868664477950 996926055920804025 999291242293095375 1036803098157636186 1107695617689782250 1110323602547883750 1153028356492033125 1199149490751714450 1248003729263821335 1281142618324481250 1440004302996716925 1497604475116585602 1538466135680253125 1600004781107463250 1661543426534673375 1665485403821825625 1728005163596060310 1846159362816303750 1850539337579806250 1921713927486721875 1993852111841608050 1998582484586190750 2080006215439702225 2246406712674878403 2306056712984066250 2400007171661194875 2496007458527642670 2592007745394090465 2769239044224455625 2775809006369709375 2880008605993433850 2997873726879286125 3076932271360506250 3323086853069346750 3330970807643651250 3744011187791464005 3843427854973443750 4000011952768658125 4160012430879404450 4320012908990150775 4492813425349756806 4615398407040759375 4800014343322389750 4984630279604020125 4996456211465476875 5184015490788180930 5538478088448911250 5551618012739418750 5765141782460165625 5995747453758572250 6240018646319106675 6739220138024635209 7200021514983584625 7488022375582928010 8000023905537316250 8307717132673366875 8327427019109128125 8640025817980301550 9230796814081518750 9969260559208040250 9992912422930953750 10400031077198511125 11232033563374392015 11530283564920331250 12000035858305974375 12480037292638213350 12960038726970452325 13478440276049270418 13846195221122278125 14400043029967169250 14989368634396430625 16615434265346733750 16654854038218256250 18720055938957320025 20000059763843290625 20800062154397022250 21600064544950753875 22464067126748784030 24000071716611948750 24923151398020100625 24982281057327384375 25920077453940904650 27692390442244556250 29978737268792861250 31200093231595533375 33696100690123176045 36000107574917923125 37440111877914640050 40000119527686581250 41538585663366834375 43200129089901507750 49846302796040201250 49964562114654768750 52000155385992555625 56160167816871960075 60000179291529871875 62400186463191066750 64800193634852261625 67392201380246352090 72000215149835846250 74946843171982153125 83077171326733668750 93600279694786600125 104000310771985111250 108000322724753769375 112320335633743920150 120000358583059743750 124615756990100503125 129600387269704523250 149893686343964306250 156000466157977666875 168480503450615880225 180000537874589615625 187200559389573200250 216000645449507538750 249231513980201006250 260000776929962778125 280800839084359800375 312000932315955333750 324000968174261308125 336961006901231760450 360001075749179231250 468001398473933000625 520001553859925556250 540001613623768846875 561601678168719600750 648001936348522616250 780002330789888334375 842402517253079401125 936002796947866001250 1080003227247537693750 1404004195421799001875 1560004661579776668750 1620004840871306540625 1684805034506158802250 2340006992369665003125 2808008390843598003750 3240009681742613081250 4212012586265397005625 4680013984739330006250 7020020977108995009375 8424025172530794011250 14040041954217990018750 21060062931326985028125 42120125862653970056250
- Sum of all divisors σ(n): 128196498053087839520838
- Sum of proper divisors (its aliquot sum) s(n): 86076372190433869464588
- 42120125862653970056250 is an abundant number, because the sum of its proper divisors (86076372190433869464588) is greater than itself. Its abundance is 43956246327779899408338
Bases of 42120125862653970056250
- Binary: 10001110101101010110001010110100111000010111101110010111111110000100001110102
- Hexadecimal: 0x8EB562B4E17B97F843A
- Base-36: 6UX4YWZIJNCU9MI
Squares and roots of 42120125862653970056250
- 42120125862653970056250 squared (421201258626539700562502) is 1774105002685811845202886116309471628164062500
- 42120125862653970056250 cubed (421201258626539700562503) is 74725526006690454509995870918091563647133625688312606037353515625000
-
The
square root of 42120125862653970056250 is 205231883153.3101975017 -
The
cube root of 42120125862653970056250 is 34793374.6422547729 - Being both a perfect square and a perfect cube, 42120125862653970056250 is also a
perfect sixth number .
Scales and comparisons
How big is 42120125862653970056250?- 42,120,125,862,653,970,056,250 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,120,125,862,653,970,056,250 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 42120125862653970056250 cubic inches would be around 2899447.9 feet tall.
Recreational maths with 42120125862653970056250
- 42120125862653970056250 backwards is 05265007935626852102124
- 42120125862653970056250 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 42120125862653970056250's digits is 81
- More coming soon!
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"Number 42120125862653970056250 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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Numbermatics. (2024). Number 42120125862653970056250 - Facts about the integer. Retrieved 15 June 2024, from https://numbermatics.com/n/42120125862653970056250/
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Numbermatics. 2024. "Number 42120125862653970056250 - Facts about the integer". https://numbermatics.com/n/42120125862653970056250/
The information we have on file for 42120125862653970056250 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 42120125862653970056250, math, Factors of 42120125862653970056250, curriculum, school, college, exams, university, Prime factorization of 42120125862653970056250, STEM, science, technology, engineering, physics, economics, calculator, forty-two sextillion, one hundred twenty quintillion, one hundred twenty-five quadrillion, eight hundred sixty-two trillion, six hundred fifty-three billion, nine hundred seventy million, fifty-six thousand, two hundred fifty.