48142977364591106448
48,142,977,364,591,106,448 is an even composite number composed of eight prime numbers multiplied together.
What does the number 48142977364591106448 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 640 divisors.
48142977364591106448 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 48142977364591106448:
24 × 3 × 11 × 29 × 61 × 127 × 521 × 778986167
(2 × 2 × 2 × 2 × 3 × 11 × 29 × 61 × 127 × 521 × 778986167)See below for interesting mathematical facts about the number 48142977364591106448 from the Numbermatics database.
Names of 48142977364591106448
- Cardinal: 48142977364591106448 can be written as Forty-eight quintillion, one hundred forty-two quadrillion, nine hundred seventy-seven trillion, three hundred sixty-four billion, five hundred ninety-one million, one hundred six thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 4.8142977364591106448 × 1019
Factors of 48142977364591106448
Divisors of 48142977364591106448
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 61 66 87 88 116 122 127 132 174 176 183 232 244 254 264 319 348 366 381 464 488 508 521 528 638 671 696 732 762 957 976 1016 1042 1276 1342 1392 1397 1464 1524 1563 1769 1914 2013 2032 2084 2552 2684 2794 2928 3048 3126 3538 3683 3828 4026 4168 4191 5104 5307 5368 5588 5731 6096 6252 7076 7366 7656 7747 8052 8336 8382 10614 10736 11049 11176 11462 12504 14152 14732 15109 15312 15494 16104 16764 17193 19459 21228 22098 22352 22924 23241 25008 28304 29464 30218 30988 31781 32208 33528 34386 38918 40513 42456 44196 45327 45848 46482 58377 58928 60436 61976 63562 66167 67056 68772 77836 81026 84912 85217 88392 90654 91696 92964 95343 116754 120872 121539 123952 127124 132334 137544 155672 162052 166199 170434 176784 181308 185928 190686 198501 224663 233508 241744 243078 254248 255651 264668 275088 311344 324104 332398 340868 349591 362616 371856 381372 397002 449326 467016 486156 498597 508496 511302 529336 648208 664796 673989 681736 699182 725232 727837 762744 794004 898652 921649 934032 972312 997194 1022604 1048773 1058672 1329592 1347978 1363472 1398364 1455674 1525488 1588008 1797304 1843298 1918843 1944624 1994388 2045208 2097546 2183511 2471293 2659184 2695956 2764947 2796728 2911348 3176016 3594608 3686596 3837686 3988776 4036187 4090416 4195092 4367022 4942586 5391912 5529894 5593456 5756529 5822696 7373192 7413879 7675372 7977552 8072374 8390184 8734044 9885172 10138139 10783824 11059788 11513058 11645392 12108561 14746384 14827758 15350744 16144748 16780368 17468088 19770344 20276278 21107273 22119576 23026116 24217122 29655516 30414417 30701488 32289496 34936176 39540688 40552556 42214546 44239152 44398057 46052232 48434244 59311032 60828834 63321819 64578992 81105112 84429092 88796114 92104464 96868488 117049423 118622064 121657668 126643638 133194171 162210224 168858184 177592228 193736976 234098846 243315336 253287276 266388342 337716368 351148269 355184456 468197692 486630672 506574552 532776684 702296538 710368912 778986167 936395384 1013149104 1065553368 1287543653 1404593076 1557972334 1872790768 2131106736 2336958501 2575087306 2809186152 3115944668 3862630959 4673917002 5150174612 5618372304 6231889336 7725261918 8568847837 9347834004 10300349224 12463778672 15450523836 17137695674 18695668008 20600698448 22590598843 25706543511 30901047672 34275391348 37391336016 45181197686 47518156187 51413087022 61802095344 67771796529 68550782696 90362395372 95036312374 98931243209 102826174044 135543593058 137101565392 142554468561 180724790744 190072624748 197862486418 205652348088 248496587273 271087186116 285108937122 296793729627 361449581488 380145249496 395724972836 405851793007 411304696176 496993174546 522699718057 542174372232 570217874244 593587459254 745489761819 760290498992 791449945672 811703586014 993986349092 1045399436114 1084348744464 1088243675299 1140435748488 1187174918508 1217555379021 1378026529423 1490979523638 1568099154171 1582899891344 1623407172028 1987972698184 2090798872228 2176487350598 2280871496976 2374349837016 2435110758042 2756053058846 2869006053061 2981959047276 3136198308342 3246814344056 3264731025897 3975945396368 4134079588269 4181597744456 4352974701196 4464369723077 4748699674032 4870221516084 5512106117692 5738012106122 5963918094552 6034805835749 6272396616684 6493628688112 6529462051794 8268159176538 8363195488912 8607018159183 8705949402392 8928739446154 9740443032168 11024212235384 11476024212244 11769701997203 11927836189104 12069611671498 12544793233368 13058924103588 13393109169231 15158291823653 16536318353076 17214036318366 17411898804784 17857478892308 18104417507247 19480886064336 22048424470768 22952048424488 23539403994406 24139223342996 24756959373427 25089586466736 26117848207176 26786218338462 30316583647306 31559066583671 33072636706152 34428072636732 35309105991609 35714957784616 36208835014494 45474875470959 45904096848976 47078807988812 48278446685992 49513918746854 51543177711889 52235696414352 53572436676924 60633167294612 63118133167342 66145273412304 66382864193239 68856145273464 70618211983218 71429915569232 72417670028988 74270878120281 90949750941918 94157615977624 94677199751013 96556893371984 99027837493708 103086355423778 107144873353848 121266334589224 126236266334684 129466721969233 132765728386478 137712290546928 141236423966436 144835340057976 148541756240562 154629533135667 175009369236721 181899501883836 188315231955248 189354399502026 198055674987416 199148592579717 206172710847556 214289746707696 242532669178448 252472532669368 258933443938466 265531456772956 272326553107697 282472847932872 289670680115952 297083512481124 309259066271334 350018738473442 363799003767672 378708799004052 388400165907699 396111349974832 398297185159434 412345421695112 504945065338736 517866887876932 525028107710163 531062913545912 544653106215394 564945695865744 566974954830779 594167024962248 618518132542668 700037476946884 717951821829383 727598007535344 757417598008104 776800331815398 796594370318868 816979659323091 824690843390224 1035733775753864 1050056215420326 1062125827091824 1089306212430788 1133949909661558 1188334049924496 1237036265085336 1400074953893768 1435903643658766 1494752153644781 1514835196016208 1553600663630796 1593188740637736 1633959318646182 1700924864492337 1925103061603931 2071467551507728 2100112430840652 2153855465488149 2178612424861576 2267899819323116 2474072530170672 2800149907787536 2871807287317532 2989504307289562 3107201327261592 3144133840425229 3186377481275472 3267918637292364 3401849728984674 3850206123207862 4200224861681304 4307710930976298 4357224849723152 4484256460934343 4535799638646232 5743614574635064 5775309184811793 5979008614579124 6214402654523184 6288267680850458 6535837274584728 6803699457969348 7700412246415724 7897470040123213 8400449723362608 8615421861952596 8968512921868686 9071599277292464 9432401521275687 11487229149270128 11550618369623586 11958017229158248 12576535361700916 13071674549169456 13607398915938696 15400824492831448 15794940080246426 16442273690092591 17230843723905192 17937025843737372 18864803042551374 23101236739247172 23692410120369639 23916034458316496 25153070723401832 27214797831877392 30801648985662896 31589880160492852 32884547380185182 34461687447810384 34585472244677519 35874051687474744 37729606085102748 46202473478494344 47384820240739278 49326821070277773 50306141446803664 63179760320985704 65769094760370364 69170944489355038 71748103374949488 75459212170205496 91179881372331641 92404946956988688 94769640481478556 98653642140555546 103756416734032557 126359520641971408 131538189520740728 138341888978710076 150918424340410992 182359762744663282 189539280962957112 197307284281111092 207512833468065114 263076379041481456 273539644116994923 276683777957420152 364719525489326564 379078561925914224 394614568562222184 415025666936130228 547079288233989846 553367555914840304 729439050978653128 789229137124444368 830051333872260456 1002978695095648051 1094158576467979692 1458878101957306256 1660102667744520912 2005957390191296102 2188317152935959384 3008936085286944153 4011914780382592204 4376634305871918768 6017872170573888306 8023829560765184408 12035744341147776612 16047659121530368816 24071488682295553224 48142977364591106448
- Sum of all divisors σ(n): 144054256172675235840
- Sum of proper divisors (its aliquot sum) s(n): 95911278808084129392
- 48142977364591106448 is an abundant number, because the sum of its proper divisors (95911278808084129392) is greater than itself. Its abundance is 47768301443493022944
Bases of 48142977364591106448
- Binary: 1010011100000111100011011011010111001101100001111111011001100100002
- Hexadecimal: 0x29C1E36D7361FD990
- Base-36: A5RN166F9HUHC
Squares and roots of 48142977364591106448
- 48142977364591106448 squared (481429773645911064482) is 2317746269527531637187906292976867176704
- 48142977364591106448 cubed (481429773645911064483) is 111583206190729433348676903141604236661093663431245289787392
-
The
square root of 48142977364591106448 is 6938514060.2719186569 -
The
cube root of 48142977364591106448 is 3637846.0409071509
Scales and comparisons
How big is 48142977364591106448?- 48,142,977,364,591,106,448 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,142,977,364,591,106,448 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 48142977364591106448 cubic inches would be around 303153.8 feet tall.
Recreational maths with 48142977364591106448
- 48142977364591106448 backwards is 84460119546377924184
- The number of decimal digits it has is: 20
- The sum of 48142977364591106448's digits is 93
- More coming soon!
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The information we have on file for 48142977364591106448 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 48142977364591106448, math, Factors of 48142977364591106448, curriculum, school, college, exams, university, Prime factorization of 48142977364591106448, STEM, science, technology, engineering, physics, economics, calculator, forty-eight quintillion, one hundred forty-two quadrillion, nine hundred seventy-seven trillion, three hundred sixty-four billion, five hundred ninety-one million, one hundred six thousand, four hundred forty-eight.