42040913356048416966
42,040,913,356,048,416,966 is an even composite number composed of six prime numbers multiplied together.
What does the number 42040913356048416966 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 972 divisors.
42040913356048416966 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 42040913356048416966:
2 × 38 × 132 × 67 × 2112 × 25212
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 13 × 13 × 67 × 211 × 211 × 2521 × 2521)See below for interesting mathematical facts about the number 42040913356048416966 from the Numbermatics database.
Names of 42040913356048416966
- Cardinal: 42040913356048416966 can be written as Forty-two quintillion, forty quadrillion, nine hundred thirteen trillion, three hundred fifty-six billion, forty-eight million, four hundred sixteen thousand, nine hundred sixty-six.
Scientific notation
- Scientific notation: 4.2040913356048416966 × 1019
Factors of 42040913356048416966
Divisors of 42040913356048416966
- Number of divisors d(n): 972
-
Complete list of divisors:
1 2 3 6 9 13 18 26 27 39 54 67 78 81 117 134 162 169 201 211 234 243 338 351 402 422 486 507 603 633 702 729 871 1014 1053 1206 1266 1458 1521 1742 1809 1899 2106 2187 2521 2613 2743 3042 3159 3618 3798 4374 4563 5042 5226 5427 5486 5697 6318 6561 7563 7839 8229 9126 9477 10854 11323 11394 13122 13689 14137 15126 15678 16281 16458 17091 18954 22646 22689 23517 24687 27378 28274 28431 32562 32773 33969 34182 35659 41067 42411 44521 45378 47034 48843 49374 51273 56862 65546 67938 68067 70551 71318 74061 82134 84822 85293 89042 97686 98319 101907 102546 106977 123201 127233 133563 136134 141102 146529 148122 153819 168907 170586 183781 196638 203814 204201 211653 213954 222183 246402 254466 267126 293058 294957 305721 307638 320931 337814 367562 369603 381699 400689 408402 423306 426049 439587 444366 461457 506721 531931 551343 578773 589914 611442 612603 634959 641862 666549 739206 763398 801378 852098 879174 884871 917163 922914 962793 1013442 1063862 1102686 1108809 1145097 1157546 1202067 1225206 1269918 1278147 1333098 1384371 1520163 1595793 1654029 1736319 1769742 1834326 1837809 1904877 1925586 1999647 2195791 2217618 2290194 2389153 2404134 2556294 2654613 2751489 2768742 2888379 2982907 3040326 3191586 3308058 3435291 3472638 3606201 3675618 3809754 3834441 3999294 4391582 4560489 4778306 4787379 4962087 5208957 5309226 5502978 5513427 5714631 5776758 5965814 5998941 6355441 6587373 6870582 6915103 7167459 7212402 7524049 7668882 7963839 8254467 8665137 8948721 9120978 9574758 9924174 10305873 10417914 10818603 11026854 11429262 11503323 11997882 12710882 13174746 13681467 13830206 14334918 14362137 14886261 15048098 15626871 15927678 16508934 16540281 17330274 17897442 17996823 19066323 19762119 20611746 20745309 21502377 21637206 22572147 23006646 23891517 24763401 25995411 26846163 27362934 28545283 28724274 29772522 30917619 31253742 32455809 33080562 34509969 35639377 35993646 38132646 38777791 39524238 41044401 41490618 43004754 43086411 44658783 45144294 46880613 47783034 49526802 51990822 53692326 57090566 57198969 59286357 61835238 62235927 64507131 64911618 67716441 69019938 71278754 71674551 74290203 77555582 77986233 80538489 82088802 82620733 85635849 86172822 89317566 89896339 92752857 93761226 97367427 103529907 106918131 112237441 114397938 116333373 118572714 123133203 124471854 129014262 129259233 133976349 135432882 140641839 143349102 148580406 155972466 161076978 165241466 171271698 171596907 177859071 179792678 185505714 186707781 193521393 194734854 203149323 207059814 213836262 215023653 224474882 232666746 233958699 241615467 246266406 247862199 256907547 258518466 267952698 269689017 281283678 292102281 310589721 320754393 336712323 343193814 349000119 355718142 369399609 373415562 387042786 387777699 401929047 406298646 421925517 425814547 430047306 463311901 467917398 483230934 495724398 504111283 513815094 514790721 533577213 539378034 560123343 580564179 584204562 609447969 621179442 641508786 673424646 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6692279373 6936503769 6979998582 7281603459 7519908547 7594659306 7664661846 8045988306 8339614218 8660368611 8754520398 9074003094 9091232721 9266232978 9423003213 9604389834 9666625761 10082220174 10450155222 10970063442 11071178222 11496992769 12046109426 12068982459 12509421327 13047235218 13131780597 13384558746 13611004641 13873007538 13899349467 14406584751 14563206918 15039817094 15123330261 15675232833 16455095163 16606767333 17320737222 17432974663 18069164139 18182465442 18846006426 18968127529 19333251522 19570852827 20076838119 20809511307 21844810377 22559725641 22993985538 24137964918 25018842654 25981105833 26263561194 27222009282 27273698163 27798698934 28269009639 28813169502 28999877283 30246660522 31350465666 32910190326 33213534666 34490978307 34865949326 36138328278 36206947377 37528263981 37936255058 39141705654 39395341791 40153676238 40833013923 41619022614 41698048401 43689620754 45119451282 45369990783 49365285489 49820301999 51962211666 52298923989 54207492417 54547396326 56538019278 56904382587 57999754566 60230514357 62428533921 65534431131 67679176923 68981956614 71962658443 72413894754 75056527962 77943317499 78790683582 81666027846 81821094489 83396096802 84807028917 86999631849 89846869417 90739981566 97758811111 98730570978 99640603998 103472934921 104597847978 108414984834 108620842131 112584791943 113808765174 118186025373 120461028714 122499041769 124857067842 131068862262 135358353846 143925316886 149460905997 155886634998 156896771967 162622477251 163642188978 169614057834 170713147761 173999263698 179693738834 180691543071 187285601763 195517622222 196603293393 203037530769 206945869842 215887975329 217241684262 225169583886 226628670619 233829952497 236372050746 244998083538 245463283467 254421086751 260998895547 269540608251 282950588761 293276433333 298921811994 310418804763 313793543934 325244954502 325862526393 337754375829 341426295522 354558076119 361383086142 367497125307 374571203526 393206586786 406075061538 431775950658 448382717991 453257341238 467659904994 470690315901 487867431753 490926566934 508842173502 512139443283 521997791094 539081216502 542074629213 565901177522 586552866666 589809880179 609112592307 620837609526 647663925987 651725052786 675508751658 679886011857 709116152238 734994250614 736389850401 782996686641 808621824753 848851766283 879829299999 896765435982 931256414289 941380631802 975734863506 977587579179 1013263127487 1024278886566 1063674228357 1084149258426 1102491375921 1168009302421 1179619760358 1218225184614 1270864544443 1295327851974 1345148153973 1359772023714 1412070947703 1463602295259 1472779700802 1536418329849 1565993373282 1617243649506 1697703532566 1759658599998 1827337776921 1862512828578 1942991777961 1955175158358 2026526254974 2039658035571 2127348456714 2204982751842 2336018604842 2348990059923 2425865474259 2541729088886 2546555298849 2639487899997 2690296307946 2793769242867 2824141895406 2927204590518 2932762737537 3039789382461 3072836659698 3191022685071 3307474127763 3504027907263 3654675553842 3678357653893 3812593633329 3885983555922 4035444461919 4079316071142 4236212843109 4390806885777 4609254989547 4697980119846 4851730948518 5093110597698 5278975799994 5482013330763 5587538485734 5828975333883 5865525475074 6079578764922 6118974106713 6382045370142 6614948255526 7008055814526 7046970179769 7277596422777 7356715307786 7625187266658 7639665896547 7918463699991 8070888923838 8472425686218 8781613771554 8798288212611 9218509979094 9573068055213 10512083721789 10964026661526 11035072961679 11437780899987 11657950667766 12106333385757 12237948213426 12708638529327 13172420657331 13827764968641 14093940359538 14555192845554 15184120931473 15279331793094 15836927399982 16446039992289 17486926001649 17596576425222 18356922320139 18957689446987 19146136110426 21024167443578 21832789268331 22070145923358 22875561799974 22918997689641 23755391099973 24212666771514 25417277058654 26344841314662 27655529937282 30368241862946 31536251165367 32892079984578 33105218885037 34313342699961 34973852003298 36319000157271 36713844640278 37915378893974 38125915587981 39517261971993 41483294905923 43665578536662 45552362794419 45837995379282 47510782199946 47818649500609 49338119976867 52460778004947 55070766960417 56873068340961 63072502330734 65498367804993 66210437770074 68626685399922 68756993068923 71266173299919 72638000314542 76251831175962 79034523943986 82966589811846 91104725588838 94608753496101 95637299001218 98676239953734 99315656655111 102940028099883 104921556009894 110141533920834 113746136681922 114377746763943 124449884717769 130996735609986 136657088383257 137513986137846 142532346599838 143455948501827 157382334014841 165212300881251 170619205022883 189217506992202 196495103414979 198631313310222 205880056199766 206270979206769 213798519899757 228755493527886 246449962810831 248899769435538 273314176766514 283826260488303 286911897003654 297946969965333 308820084299649 314764668029682 330424601762502 341238410045766 392990206829958 409971265149771 412541958413538 427597039799514 430367845505481 472147002044523 492899925621662 495636902643753 511857615068649 567652520976606 589485310244937 595893939930666 617640168599298 618812937620307 641395559699271 739349888432493 819942530299542 851478781464909 860735691010962 893840909895999 926460252898947 944294004089046 991273805287506 1023715230137298 1178970620489874 1229913795449313 1237625875240614 1282791119398542 1291103536516443 1478699776864986 1486910707931259 1535572845205947 1702957562929818 1787681819791998 1852920505797894 1856438812860921 2218049665297479 2459827590898626 2554436344394727 2582207073032886 2681522729687997 2779380758696841 2973821415862518 3071145690411894 3203849516540803 3689741386347939 3712877625721842 3873310609549329 4436099330594958 4606718535617841 5108872688789454 5363045459375994 5558761517393682 6407699033081606 6654148995892437 7379482772695878 7663309033184181 7746621219098658 8044568189063991 8338142276090523 9213437071235682 9611548549622409 11069224159043817 11619931828647987 13308297991784874 13820155606853523 15326618066368362 16089136378127982 16676284552181046 19223097099244818 19962446987677311 22138448318087634 23239863657295974 24133704567191973 27640311213707046 28834645648867227 33207672477131451 34859795485943961 39924893975354622 41460466820560569 48267409134383946 57669291297734454 59887340963031933 66415344954262902 69719590971887922 82920933641121138 86503936946601681 99623017431394353 104579386457831883 119774681926063866 124381400461681707 173007873893203362 179662022889095799 199246034862788706 209158772915663766 248762800923363414 259511810839805043 313738159373495649 359324045778191598 519023621679610086 538986068667287397 627476318746991298 778535432519415129 1077972137334574794 1557070865038830258 1616958206001862191 2335606297558245387 3233916412003724382 4671212595116490774 7006818892674736161 14013637785349472322 21020456678024208483 42040913356048416966
- Sum of all divisors σ(n): 104488022535083418348
- Sum of proper divisors (its aliquot sum) s(n): 62447109179035001382
- 42040913356048416966 is an abundant number, because the sum of its proper divisors (62447109179035001382) is greater than itself. Its abundance is 20406195822986584416
Bases of 42040913356048416966
- Binary: 1001000111011011110101001111110100011111000011110111000000110001102
- Hexadecimal: 0x2476F53F47C3DC0C6
- Base-36: 8VENO0C7B0UDI
Squares and roots of 42040913356048416966
- 42040913356048416966 squared (420409133560484169662) is 1767438395810770169681135139994596645156
- 42040913356048416966 cubed (420409133560484169663) is 74304724460433796079911085169979033618086196729488232116696
-
The
square root of 42040913356048416966 is 6483896464.0136271199 -
The
cube root of 42040913356048416966 is 3477154.9763302455
Scales and comparisons
How big is 42040913356048416966?- 42,040,913,356,048,416,966 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,040,913,356,048,416,966 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 42040913356048416966 cubic inches would be around 289762.9 feet tall.
Recreational maths with 42040913356048416966
- 42040913356048416966 backwards is 66961484065331904024
- 42040913356048416966 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42040913356048416966's digits is 81
- More coming soon!
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"Number 42040913356048416966 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
APA style:
Numbermatics. (2024). Number 42040913356048416966 - Facts about the integer. Retrieved 22 May 2024, from https://numbermatics.com/n/42040913356048416966/
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The information we have on file for 42040913356048416966 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 42040913356048416966, math, Factors of 42040913356048416966, curriculum, school, college, exams, university, Prime factorization of 42040913356048416966, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, forty quadrillion, nine hundred thirteen trillion, three hundred fifty-six billion, forty-eight million, four hundred sixteen thousand, nine hundred sixty-six.