427942100883797622144
427,942,100,883,797,622,144 is an even composite number composed of six prime numbers multiplied together.
What does the number 427942100883797622144 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
427942100883797622144 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 427942100883797622144:
27 × 33 × 112 × 41 × 607 × 41120024287
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 11 × 41 × 607 × 41120024287)See below for interesting mathematical facts about the number 427942100883797622144 from the Numbermatics database.
Names of 427942100883797622144
- Cardinal: 427942100883797622144 can be written as Four hundred twenty-seven quintillion, nine hundred forty-two quadrillion, one hundred trillion, eight hundred eighty-three billion, seven hundred ninety-seven million, six hundred twenty-two thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.27942100883797622144 × 1020
Factors of 427942100883797622144
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 41120024951
Divisors of 427942100883797622144
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 41 44 48 54 64 66 72 82 88 96 99 108 121 123 128 132 144 164 176 192 198 216 242 246 264 288 297 328 352 363 369 384 396 432 451 484 492 528 576 594 607 656 704 726 738 792 864 902 968 984 1056 1089 1107 1152 1188 1214 1312 1353 1408 1452 1476 1584 1728 1804 1821 1936 1968 2112 2178 2214 2376 2428 2624 2706 2904 2952 3168 3267 3456 3608 3642 3872 3936 4059 4224 4356 4428 4752 4856 4961 5248 5412 5463 5808 5904 6336 6534 6677 7216 7284 7744 7872 8118 8712 8856 9504 9712 9922 10824 10926 11616 11808 12177 12672 13068 13354 14432 14568 14883 15488 15744 16236 16389 17424 17712 19008 19424 19844 20031 21648 21852 23232 23616 24354 24887 26136 26708 28864 29136 29766 32472 32778 34848 35424 38016 38848 39688 40062 43296 43704 44649 46464 47232 48708 49774 52272 53416 57728 58272 59532 60093 64944 65556 69696 70848 73447 74661 77696 79376 80124 86592 87408 89298 97416 99548 104544 106832 116544 119064 120186 129888 131112 133947 139392 141696 146894 149322 158752 160248 173184 174816 178596 180279 194832 199096 209088 213664 220341 223983 233088 238128 240372 259776 262224 267894 273757 293788 298644 317504 320496 349632 357192 360558 389664 398192 418176 427328 440682 447966 476256 480744 519552 524448 535788 547514 587576 597288 635008 640992 661023 671949 699264 714384 721116 779328 796384 821271 854656 881364 895932 952512 961488 1048896 1071576 1095028 1175152 1194576 1281984 1322046 1343898 1428768 1442232 1558656 1592768 1642542 1762728 1791864 1905024 1922976 1983069 2097792 2143152 2190056 2350304 2389152 2463813 2563968 2644092 2687796 2857536 2884464 3011327 3185536 3285084 3525456 3583728 3845952 3966138 4286304 4380112 4700608 4778304 4927626 5288184 5375592 5715072 5768928 6022654 6570168 7050912 7167456 7391439 7691904 7932276 8572608 8760224 9033981 9401216 9556608 9855252 10576368 10751184 11537856 12045308 13140336 14101824 14334912 14782878 15864552 17145216 17520448 18067962 19710504 21152736 21502368 23075712 24090616 26280672 27101943 28203648 28669824 29565756 31729104 35040896 36135924 39421008 42305472 43004736 48181232 52561344 54203886 59131512 63458208 72271848 78842016 81305829 84610944 86009472 96362464 105122688 108407772 118263024 126916416 144543696 157684032 162611658 192724928 216815544 236526048 253832832 289087392 315368064 325223316 385449856 433631088 473052096 578174784 650446632 867262176 946104192 1156349568 1300893264 1734524352 2601786528 3469048704 5203573056 10407146112 41120024287 82240048574 123360072861 164480097148 246720145722 328960194296 370080218583 452320267157 493440291444 657920388592 740160437166 904640534314 986880582888 1110240655749 1315840777184 1356960801471 1480320874332 1685920995767 1809281068628 1973761165776 2220481311498 2631681554368 2713921602942 2960641748664 3371841991534 3618562137256 3947522331552 4070882404413 4440962622996 4975522938727 5057762987301 5263363108736 5427843205884 5921283497328 6743683983068 7237124274512 7895044663104 8141764808826 8881925245992 9951045877454 10115525974602 10855686411768 11842566994656 12212647213239 13487367966136 14474248549024 14926568816181 15173288961903 15790089326208 16283529617652 17763850491984 18545130953437 19902091754908 20231051949204 21711372823536 23685133989312 24425294426478 24959854742209 26974735932272 28948497098048 29853137632362 30346577923806 32567059235304 35527700983968 37090261906874 39804183509816 40462103898408 43422745647072 44779706448543 45519866885709 47370267978624 48850588852956 49919709484418 53949471864544 55635392860311 57896994196096 59706275264724 60693155847612 65134118470608 71055401967936 74180523813748 74879564226627 79608367019632 80924207796816 86845491294144 89559412897086 91039733771418 97701177705912 99839418968836 107898943729088 111270785720622 119412550529448 121386311695224 130268236941216 134339119345629 142110803935872 148361047627496 149759128453254 159216734039264 161848415593632 166906178580933 173690982588288 179118825794172 182079467542836 195402355411824 199678837937672 203996440487807 215797887458176 222541571441244 224638692679881 238825101058896 242772623390448 260536473882432 268678238691258 274558402164299 296722095254992 299518256906508 318433468078528 323696831187264 333812357161866 358237651588344 364158935085672 390804710823648 399357675875344 407992880975614 445083142882488 449277385359762 477650202117792 485545246780896 500718535742799 521072947764864 537356477382516 549116804328598 593444190509984 599036513813016 611989321463421 636866936157056 647393662374528 667624714323732 673916078039643 716475303176688 728317870171344 781609421647296 798715351750688 815985761951228 823675206492897 890166285764976 898554770719524 955300404235584 971090493561792 1001437071485598 1023354044430569 1074712954765032 1098233608657196 1186888381019968 1198073027626032 1223978642926842 1335249428647464 1347832156079286 1432950606353376 1456635740342688 1563218843294592 1597430703501376 1631971523902456 1647350412985794 1780332571529952 1797109541439048 1835967964390263 1910600808471168 1942180987123584 2002874142971196 2046708088861138 2149425909530064 2196467217314392 2373776762039936 2396146055252064 2447957285853684 2471025619478691 2670498857294928 2695664312158572 2865901212706752 2913271480685376 3020142423807289 3070062133291707 3194861407002752 3263943047804912 3294700825971588 3560665143059904 3594219082878096 3671935928780526 4005748285942392 4093416177722276 4298851819060128 4392934434628784 4792292110504128 4895914571707368 4942051238957382 5340997714589856 5391328624317144 5507903893170789 5731802425413504 5826542961370752 6040284847614578 6140124266583414 6527886095609824 6589401651943176 7121330286119808 7188438165756192 7343871857561052 7413076858436073 8011496571884784 8186832355444552 8597703638120256 8785868869257568 9060427271421867 9210186399875121 9584584221008256 9791829143414736 9884102477914764 10681995429179712 10782657248634288 11015807786341578 11256894488736259 12080569695229156 12280248533166828 13055772191219648 13178803303886352 14376876331512384 14687743715122104 14826153716872146 16022993143769568 16373664710889104 17195407276240512 17571737738515136 18120854542843734 18420372799750242 19583658286829472 19768204955829528 21363990858359424 21565314497268576 22031615572683156 22513788977472518 24161139390458312 24560497066333656 26111544382439296 26357606607772704 27181281814265601 27630559199625363 28753752663024768 29375487430244208 29652307433744292 32045986287539136 32747329421778208 33770683466208777 35143475477030272 36241709085687468 36840745599500484 39167316573658944 39536409911659056 43130628994537152 44063231145366312 45027577954945036 48322278780916624 49120994132667312 52715213215545408 54362563628531202 55261118399250726 58750974860488416 59304614867488584 64091972575078272 65494658843556416 67541366932417554 72483418171374936 73681491199000968 78334633147317888 79072819823318112 81543845442796803 86261257989074304 88126462290732624 90055155909890072 96644557561833248 98241988265334624 101312050398626331 105430426431090816 108725127257062404 110522236798501452 117501949720976832 118609229734977168 123825839376098849 130989317687112832 135082733864835108 144966836342749872 147362982398001936 158145639646636224 163087690885593606 176252924581465248 180110311819780144 193289115123666496 196483976530669248 202624100797252662 217450254514124808 221044473597002904 235003899441953664 237218459469954336 247651678752197698 270165467729670216 289933672685499744 294725964796003872 303936151195878993 316291279293272448 326175381771187212 352505849162930496 360220623639560288 371477518128296547 386578230247332992 392967953061338496 405248201594505324 434900509028249616 442088947194005808 474436918939908672 495303357504395396 540330935459340432 579867345370999488 589451929592007744 607872302391757986 652350763542374424 705011698325860992 720441247279120576 742955036256593094 810496403189010648 869801018056499232 884177894388011616 948873837879817344 990606715008790792 1080661870918680864 1114432554384889641 1159734690741998976 1178903859184015488 1215744604783515972 1304701527084748848 1440882494558241152 1485910072513186188 1620992806378021296 1739602036112998464 1768355788776023232 1981213430017581584 2161323741837361728 2228865108769779282 2431489209567031944 2609403054169497696 2971820145026372376 3241985612756042592 3343297663154668923 3479204072225996928 3536711577552046464 3962426860035163168 4322647483674723456 4457730217539558564 4862978419134063888 5218806108338995392 5943640290052744752 6483971225512085184 6686595326309337846 7924853720070326336 8915460435079117128 9725956838268127776 10437612216677990784 11887280580105489504 12967942451024170368 13373190652618675692 15849707440140652672 17830920870158234256 19451913676536255552 23774561160210979008 26746381305237351384 35661841740316468512 38903827353072511104 47549122320421958016 53492762610474702768 71323683480632937024 106985525220949405536 142647366961265874048 213971050441898811072 427942100883797622144
- Sum of all divisors σ(n): 1424485539500238028800
- Sum of proper divisors (its aliquot sum) s(n): 996543438616440406656
- 427942100883797622144 is an abundant number, because the sum of its proper divisors (996543438616440406656) is greater than itself. Its abundance is 568601337732642784512
Bases of 427942100883797622144
- Binary: 1011100110010111000111100000101101011010111010010001010111101100000002
- Hexadecimal: 0x1732E3C16B5D22BD80
- Base-36: 2IBAXA5C9IGDC0
Squares and roots of 427942100883797622144
- 427942100883797622144 squared (4279421008837976221442) is 183134441708838421571717961707388599156736
- 427942100883797622144 cubed (4279421008837976221443) is 78370937729061686803026658114170032357196323236098440360361984
-
The
square root of 427942100883797622144 is 20686761488.5413522077 -
The
cube root of 427942100883797622144 is 7535782.2034523851
Scales and comparisons
How big is 427942100883797622144?- 427,942,100,883,797,622,144 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 427,942,100,883,797,622,144 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 427942100883797622144 cubic inches would be around 627981.9 feet tall.
Recreational maths with 427942100883797622144
- 427942100883797622144 backwards is 441226797388001249724
- The number of decimal digits it has is: 21
- The sum of 427942100883797622144's digits is 90
- More coming soon!
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The information we have on file for 427942100883797622144 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 427942100883797622144, math, Factors of 427942100883797622144, curriculum, school, college, exams, university, Prime factorization of 427942100883797622144, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-seven quintillion, nine hundred forty-two quadrillion, one hundred trillion, eight hundred eighty-three billion, seven hundred ninety-seven million, six hundred twenty-two thousand, one hundred forty-four.