42825968642871332416
42,825,968,642,871,332,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 42825968642871332416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1323 divisors.
42825968642871332416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, three hundred twenty-three divisors.
Prime factorization of 42825968642871332416:
26 × 176 × 312 × 412 × 1312
(2 × 2 × 2 × 2 × 2 × 2 × 17 × 17 × 17 × 17 × 17 × 17 × 31 × 31 × 41 × 41 × 131 × 131)See below for interesting mathematical facts about the number 42825968642871332416 from the Numbermatics database.
Names of 42825968642871332416
- Cardinal: 42825968642871332416 can be written as Forty-two quintillion, eight hundred twenty-five quadrillion, nine hundred sixty-eight trillion, six hundred forty-two billion, eight hundred seventy-one million, three hundred thirty-two thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 4.2825968642871332416 × 1019
Factors of 42825968642871332416
Divisors of 42825968642871332416
- Number of divisors d(n): 1323
-
Complete list of divisors:
1 2 4 8 16 17 31 32 34 41 62 64 68 82 124 131 136 164 248 262 272 289 328 496 524 527 544 578 656 697 961 992 1048 1054 1088 1156 1271 1312 1394 1681 1922 1984 2096 2108 2227 2312 2542 2624 2788 3362 3844 4061 4192 4216 4454 4624 4913 5084 5371 5576 6724 7688 8122 8384 8432 8908 8959 9248 9826 10168 10742 11152 11849 13448 15376 16244 16337 16864 17161 17816 17918 18496 19652 20336 21484 21607 22304 23698 26896 28577 30752 32488 32674 33728 34322 35632 35836 37859 39304 39401 40672 42968 43214 44608 47396 52111 53792 57154 61504 64976 65348 68644 69037 71264 71672 75718 78608 78802 81344 83521 85936 86428 91307 94792 104222 107584 114308 125891 129952 130696 137288 138074 142528 143344 151436 152303 157216 157604 166501 167042 171872 172856 182614 189584 201433 208444 220211 228616 251782 259904 261392 274576 276148 277729 286688 291737 302872 304606 314432 315208 333002 334084 343744 345712 365228 367319 379168 402866 416888 440422 457232 485809 503564 522784 531991 549152 552296 555458 573376 583474 605744 609212 630416 643603 666004 668168 669817 691424 703601 730456 734638 758336 805732 833776 880844 885887 914464 971618 1007128 1045568 1063982 1098304 1104592 1110916 1166948 1173629 1211488 1218424 1260832 1287206 1332008 1336336 1339634 1382848 1407202 1419857 1460912 1469276 1552219 1611464 1615441 1667552 1761688 1771774 1828928 1943236 2014256 2127964 2140147 2209184 2221832 2333896 2347258 2422976 2436848 2521664 2574412 2589151 2664016 2672672 2679268 2814404 2830517 2839714 2921824 2938552 3104438 3222928 3230882 3335104 3424361 3523376 3543548 3743587 3886472 4028512 4255928 4280294 4418368 4443664 4667792 4694516 4721393 4873696 4959529 5148824 5161531 5178302 5328032 5345344 5358536 5628808 5661034 5679428 5843648 5877104 6208876 6244423 6445856 6461764 6826541 6848722 7046752 7087096 7487174 7772944 8057024 8258753 8511856 8560588 8887328 9043847 9335584 9389032 9442786 9747392 9919058 10297648 10323062 10356604 10656064 10717072 10941251 11257616 11322068 11358856 11386889 11754208 11961217 12417752 12488846 12891712 12923528 13653082 13697444 14093504 14174192 14974348 15060079 15545888 16491721 16517506 17023712 17121176 17774656 18087694 18671168 18778064 18885572 19838116 19951693 20595296 20646124 20713208 21434144 21811631 21882502 22515232 22644136 22717712 22773778 23508416 23922434 24137569 24835504 24977692 25847056 26387723 27306164 27394888 27462497 28348384 28847641 29948696 30120158 31091776 32983442 33035012 34047424 34242352 36175388 36382499 37556128 37771144 39676232 39903386 41190592 41292248 41426416 42868288 43623262 43765004 44015567 45030464 45288272 45435424 45547556 47844868 48118789 48275138 49671008 49955384 51694112 52775446 54612328 54789776 54924994 56696768 57695282 58214137 59897392 60240316 63640979 65966884 66070024 68484704 72350776 72764998 75112256 75542288 79352464 79806772 80263681 82584496 82852832 84311993 87246524 87530008 87746027 88031134 90576544 90870848 91095112 95689736 96237578 96550276 99342016 99910768 103388224 105550892 106155191 109224656 109579552 109849988 115390564 116051197 116428274 119794784 120480632 127281958 131933768 132140048 136969408 140398801 144701552 145529996 151084576 153745399 158704928 159613544 160527362 165168992 165705664 168623986 174493048 175060016 175492054 176062268 181153088 182190224 186001267 191379472 192475156 193100552 193577113 199821536 203340689 211101784 211622771 212310382 218449312 219159104 219699976 230781128 232102394 232856548 239589568 240961264 254563916 256021343 263867536 264280096 280359257 280797602 289403104 291059992 302169152 307490798 317409856 319227088 321054724 330337984 337247972 339178781 348986096 350120032 350984108 352124536 364380448 370797727 372002534 382758944 384950312 386201104 387154226 399643072 406681378 422203568 423245542 424620764 436898624 439399952 448591291 461562256 464204788 465713096 466862449 481922528 490409897 509127832 512042686 527735072 528560192 560718514 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77541696197096 77985637205858 80501302922176 81919050014674 85045731312944 88153921897024 93663542015588 97238486367328 102727755759032 106303258758176 112947212430562 116590670896064 117258174737072 123877587827068 124586810658139 128189223796624 128605740034208 135865741487752 136201050283913 140594632551136 141399563653528 146796493563968 149381797085582 154200564733504 155083392394192 155971274411716 163838100029348 164776104418829 170091462625888 187327084031176 194476972734656 205455511518064 212606517516352 225894424861124 234516349474144 247755175654136 249173621316278 256378447593248 257211480068416 271731482975504 272402100567826 281189265102272 282799127307056 298763594171164 300474072763747 310166784788384 311942548823432 327676200058696 329552208837658 340182925251776 374654168062352 398070053566249 410911023036128 451788849722248 469032698948288 495510351308272 498347242632556 512756895186496 526479748265039 543462965951008 544804201135652 565598254614112 597527188342328 600948145527494 620333569576768 623885097646864 655352400117392 659104417675316 696311925124729 749308336124704 796140107132498 821822046072256 903577699444496 960051305659777 991020702616544 996694485265112 1052959496530078 1086925931902016 1089608402271304 1131196509228224 1195054376684656 1201896291054988 1247770195293728 1269745275227447 1310704800234784 1318208835350632 1392623850249458 1498616672249408 1592280214264996 1807155398888992 1920102611319554 1982041405233088 1993388970530224 2105918993060156 2179216804542608 2315417854826521 2390108753369312 2403792582109976 2495540390587456 2539490550454894 2621409600469568 2636417670701264 2785247700498916 3184560428529992 3614310797777984 3840205222639108 3986777941060448 4211837986120312 4358433609085216 4630835709653042 4780217506738624 4807585164219952 5078981100909788 5108059236983699 5272835341402528 5570495400997832 6369120857059984 7680410445278216 7973555882120896 8423675972240624 8716867218170432 9261671419306084 9615170328439904 10157962201819576 10216118473967398 10545670682805056 11140990801995664 12738241714119968 15360820890556432 16320872196216209 16847351944481248 18523342838612168 19230340656879808 20315924403639152 20432236947934796 21585669678866599 22281981603991328 25476483428239936 30721641781112864 32641744392432418 33694703888962496 37046685677224336 39362103532050857 40631848807278304 40864473895869592 43171339357733198 44563963207982656 61443283562225728 65283488784864836 74093371354448672 78724207064101714 81263697614556608 81728947791739184 86342678715466396 130566977569729672 148186742708897344 157448414128203428 163457895583478368 172685357430932792 261133955139459344 314896828256406856 326915791166956736 345370714861865584 522267910278918688 629793656512813712 669155760044864569 690741429723731168 1044535820557837376 1259587313025627424 1338311520089729138 1381482859447462336 2519174626051254848 2676623040179458276 5353246080358916552 10706492160717833104 21412984321435666208 42825968642871332416
- Sum of all divisors σ(n): 96367602471270039543
- Sum of proper divisors (its aliquot sum) s(n): 53541633828398707127
- 42825968642871332416 is an abundant number, because the sum of its proper divisors (53541633828398707127) is greater than itself. Its abundance is 10715665185527374711
Bases of 42825968642871332416
- Binary: 1001010010010101000110011110010100001110000101110100001110010000002
- Hexadecimal: 0x252546794385D0E40
- Base-36: 91DDMVS5AJR5S
Squares and roots of 42825968642871332416
- 42825968642871332416 squared (428259686428713324162) is 1834063590200198633613507418323172397056
- 42825968642871332416 cubed (428259686428713324163) is 78545549802945724244450088843848913527321681591463315767296
-
42825968642871332416 is a
perfect square number . Itssquare root is 6544155304 -
The
cube root of 42825968642871332416 is 3498665.3045012843
Scales and comparisons
How big is 42825968642871332416?- 42,825,968,642,871,332,416 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,825,968,642,871,332,416 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 42825968642871332416 cubic inches would be around 291555.4 feet tall.
Recreational maths with 42825968642871332416
- 42825968642871332416 backwards is 61423317824686952824
- The number of decimal digits it has is: 20
- The sum of 42825968642871332416's digits is 91
- More coming soon!
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"Number 42825968642871332416 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 42825968642871332416 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/42825968642871332416/
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Numbermatics. 2024. "Number 42825968642871332416 - Facts about the integer". https://numbermatics.com/n/42825968642871332416/
The information we have on file for 42825968642871332416 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 42825968642871332416, math, Factors of 42825968642871332416, curriculum, school, college, exams, university, Prime factorization of 42825968642871332416, STEM, science, technology, engineering, physics, economics, calculator, forty-two quintillion, eight hundred twenty-five quadrillion, nine hundred sixty-eight trillion, six hundred forty-two billion, eight hundred seventy-one million, three hundred thirty-two thousand, four hundred sixteen.