42378895382840257248
42,378,895,382,840,257,248 is an even composite number composed of seven prime numbers multiplied together.
42378895382840257248 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 42378895382840257248:
25 × 32 × 7 × 47 × 61 × 7321 × 1001523179
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 47 × 61 × 7321 × 1001523179)See below for interesting mathematical facts about the number 42378895382840257248 from the Numbermatics database.
Names of 42378895382840257248
- Cardinal: 42378895382840257248 can be written as Forty-two quintillion, three hundred seventy-eight quadrillion, eight hundred ninety-five trillion, three hundred eighty-two billion, eight hundred forty million, two hundred fifty-seven thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 4.2378895382840257248 × 1019
Factors of 42378895382840257248
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1001530620
Divisors of 42378895382840257248
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 47 48 56 61 63 72 84 94 96 112 122 126 141 144 168 183 188 224 244 252 282 288 329 336 366 376 423 427 488 504 549 564 658 672 732 752 846 854 976 987 1008 1098 1128 1281 1316 1464 1504 1692 1708 1952 1974 2016 2196 2256 2562 2632 2867 2928 2961 3384 3416 3843 3948 4392 4512 5124 5264 5734 5856 5922 6768 6832 7321 7686 7896 8601 8784 10248 10528 11468 11844 13536 13664 14642 15372 15792 17202 17568 20069 20496 21963 22936 23688 25803 29284 30744 31584 34404 40138 40992 43926 45872 47376 51247 51606 58568 60207 61488 65889 68808 80276 87852 91744 94752 102494 103212 117136 120414 122976 131778 137616 153741 160552 175704 180621 204988 206424 234272 240828 263556 275232 307482 321104 344087 351408 361242 409976 412848 446581 461223 481656 527112 614964 642208 688174 702816 722484 819952 825696 893162 922446 963312 1032261 1054224 1229928 1339743 1376348 1444968 1639904 1786324 1844892 1926624 2064522 2108448 2408609 2459856 2679486 2752696 2889936 3096783 3126067 3572648 3689784 4019229 4129044 4817218 4919712 5358972 5505392 5779872 6193566 6252134 7145296 7225827 7379568 8038458 8258088 9378201 9634436 10717944 11010784 12387132 12504268 14290592 14451654 14759136 16076916 16516176 18756402 19268872 20989307 21435888 21677481 24774264 25008536 28134603 28903308 32153832 33032352 37512804 38537744 41978614 42871776 43354962 49548528 50017072 56269206 57806616 62967921 64307664 75025608 77075488 83957228 86709924 99097056 100034144 112538412 115613232 125935842 128615328 146925149 150051216 167914456 173419848 188903763 225076824 231226464 251871684 293850298 300102432 335828912 346839696 377807526 440775447 450153648 503743368 587700596 671657824 693679392 755615052 881550894 900307296 1001523179 1007486736 1175401192 1322326341 1511230104 1763101788 2003046358 2014973472 2350802384 2644652682 3004569537 3022460208 3526203576 4006092716 4701604768 5289305364 6009139074 6044920416 7010662253 7052407152 8012185432 9013708611 10578610728 12018278148 14021324506 14104814304 16024370864 18027417222 21031986759 21157221456 24036556296 28042649012 32048741728 36054834444 42063973518 42314442912 47071589413 48073112592 56085298024 61092913919 63095960277 72109668888 84127947036 94143178826 96146225184 112170596048 122185827838 126191920554 141214768239 144219337776 168255894072 183278741757 188286357652 224341192096 244371655676 252383841108 282429536478 288438675552 329501125891 336511788144 366557483514 376572715304 423644304717 427650397433 488743311352 504767682216 549836225271 564859072956 659002251782 673023576288 733114967028 753145430608 847288609434 855300794866 977486622704 988503377673 1009535364432 1099672450542 1129718145912 1282951192299 1318004503564 1466229934056 1506290861216 1694577218868 1710601589732 1954973245408 1977006755346 2019070728864 2199344901084 2259436291824 2565902384598 2636009007128 2871366954193 2932459868112 2965510133019 3389154437736 3421203179464 3848853576897 3954013510692 4398689802168 4518872583648 5131804769196 5272018014256 5742733908386 5864919736224 5931020266038 6778308875472 6842406358928 7332151193459 7697707153794 7908027021384 8614100862579 8797379604336 10263609538392 10544036028512 11485467816772 11862040532076 13556617750944 13684812717856 14664302386918 15395414307588 15816054042768 17228201725158 17594759208672 20099568679351 20527219076784 21996453580377 22970935633544 23724081064152 25842302587737 29328604773836 30790828615176 31632108085536 34456403450316 40199137358702 41054438153568 43992907160754 45941871267088 47448162128304 51325058354213 51684605175474 58657209547672 60298706038053 61581657230352 65989360741131 68912806900632 80398274717404 87985814321508 91883742534176 94896324256608 102650116708426 103369210350948 117314419095344 120597412076106 123163314460704 131978721482262 137825613801264 153975175062639 160796549434808 175971628643016 180896118114159 205300233416852 206738420701896 234628838190688 241194824152212 263957442964524 275651227602528 307950350125278 321593098869616 344611106092573 351943257286032 361792236228318 410600466833704 413476841403792 447261222800999 461925525187917 482389648304424 527914885929048 615900700250556 643186197739232 689222212185146 703886514572064 723584472456636 821200933667408 826953682807584 894522445601998 923851050375834 964779296608848 1033833318277719 1055829771858096 1231801400501112 1341783668402997 1378444424370292 1447168944913272 1642401867334816 1789044891203996 1847702100751668 1929558593217696 2067666636555438 2111659543716192 2412277742648011 2463602801002224 2683567336805994 2756888848740584 2894337889826544 3101499954833157 3130828559606993 3578089782407992 3695404201503336 4025351005208991 4135333273110876 4824555485296022 4927205602004448 5367134673611988 5513777697481168 5788675779653088 6202999909666314 6261657119213986 7156179564815984 7236833227944033 7390808403006672 8050702010417982 8270666546221752 9392485678820979 9649110970592044 10734269347223976 11027555394962336 12405999819332628 12523314238427972 14312359129631968 14473666455888066 14781616806013344 16101404020835964 16541333092443504 18784971357641958 19298221941184088 21021277471646953 21468538694447952 21710499683832099 24811999638665256 25046628476855944 28177457036462937 28947332911776132 32202808041671928 33082666184887008 37569942715283916 38596443882368176 42042554943293906 42937077388895904 43420999367664198 49623999277330512 50093256953711888 56354914072925874 57894665823552264 63063832414940859 64405616083343856 75139885430567832 77192887764736352 84085109886587812 86841998735328396 99247998554661024 100186513907423776 112709828145851748 115789331647104528 126127664829881718 128811232166687712 147148942301528671 150279770861135664 168170219773175624 173683997470656792 189191497244822577 225419656291703496 231578663294209056 252255329659763436 294297884603057342 300559541722271328 336340439546351248 347367994941313584 378382994489645154 441446826904586013 450839312583406992 504510659319526872 588595769206114684 672680879092702496 694735989882627168 756765988979290308 882893653809172026 901678625166813984 1009021318639053744 1177191538412229368 1324340480713758039 1513531977958580616 1765787307618344052 2018042637278107488 2354383076824458736 2648680961427516078 3027063955917161232 3531574615236688104 4708766153648917472 5297361922855032156 6054127911834322464 7063149230473376208 10594723845710064312 14126298460946752416 21189447691420128624 42378895382840257248
- Sum of all divisors σ(n): 142987326342620497920
- Sum of proper divisors (its aliquot sum) s(n): 100608430959780240672
- 42378895382840257248 is an abundant number, because the sum of its proper divisors (100608430959780240672) is greater than itself. Its abundance is 58229535576939983424
Bases of 42378895382840257248
- Binary: 1001001100001000000001010011010001010100111010001010101010111000002
- Hexadecimal: 0x24C2014D153A2AAE0
- Base-36: 8XZ3KMZTTJW80
Squares and roots of 42378895382840257248
- 42378895382840257248 squared (423788953828402572482) is 1795970773869719273938624489714816533504
- 42378895382840257248 cubed (423788953828402572483) is 76111257536463489867894166966259571623323089923794970836992
-
The
square root of 42378895382840257248 is 6509907478.8233555391 -
The
cube root of 42378895382840257248 is 3486448.1501774211
Scales and comparisons
How big is 42378895382840257248?- 42,378,895,382,840,257,248 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,378,895,382,840,257,248 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 42378895382840257248 cubic inches would be around 290537.3 feet tall.
Recreational maths with 42378895382840257248
- 42378895382840257248 backwards is 84275204828359887324
- The number of decimal digits it has is: 20
- The sum of 42378895382840257248's digits is 99
- More coming soon!
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The information we have on file for 42378895382840257248 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!
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