48052138766168161415250
48,052,138,766,168,161,415,250 is an even composite number composed of seven prime numbers multiplied together.
48052138766168161415250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of five hundred twelve divisors.
Prime factorization of 48052138766168161415250:
2 × 33 × 53 × 19 × 37 × 83 × 122004410919907
(2 × 3 × 3 × 3 × 5 × 5 × 5 × 19 × 37 × 83 × 122004410919907)See below for interesting mathematical facts about the number 48052138766168161415250 from the Numbermatics database.
Names of 48052138766168161415250
- Cardinal: 48052138766168161415250 can be written as Forty-eight sextillion, fifty-two quintillion, one hundred thirty-eight quadrillion, seven hundred sixty-six trillion, one hundred sixty-eight billion, one hundred sixty-one million, four hundred fifteen thousand, two hundred fifty.
Scientific notation
- Scientific notation: 4.805213876616816141525 × 1022
Factors of 48052138766168161415250
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 122004410920056
Divisors of 48052138766168161415250
- Number of divisors d(n): 512
-
Complete list of divisors:
1 2 3 5 6 9 10 15 18 19 25 27 30 37 38 45 50 54 57 74 75 83 90 95 111 114 125 135 150 166 171 185 190 222 225 249 250 270 285 333 342 370 375 415 450 475 498 513 555 570 666 675 703 747 750 830 855 925 950 999 1026 1110 1125 1245 1350 1406 1425 1494 1577 1665 1710 1850 1998 2075 2109 2241 2250 2375 2490 2565 2775 2850 3071 3154 3330 3375 3515 3735 4150 4218 4275 4482 4625 4731 4750 4995 5130 5550 6142 6225 6327 6750 7030 7125 7470 7885 8325 8550 9213 9250 9462 9990 10375 10545 11205 12450 12654 12825 13875 14193 14250 15355 15770 16650 17575 18426 18675 18981 20750 21090 21375 22410 23655 24975 25650 27639 27750 28386 30710 31125 31635 35150 37350 37962 39425 41625 42579 42750 46065 47310 49950 52725 55278 56025 58349 62250 63270 64125 70965 76775 78850 82917 83250 85158 87875 92130 93375 94905 105450 112050 116698 118275 124875 128250 138195 141930 153550 158175 165834 175047 175750 186750 189810 197125 212895 230325 236550 249750 263625 276390 280125 291745 316350 350094 354825 383875 394250 414585 425790 460650 474525 525141 527250 560250 583490 591375 690975 709650 767750 790875 829170 875235 949050 1050282 1064475 1151625 1182750 1381950 1458725 1575423 1581750 1750470 1774125 2072925 2128950 2303250 2372625 2625705 2917450 3150846 3454875 3548250 4145850 4376175 4745250 5251410 5322375 6909750 7293625 7877115 8752350 10364625 10644750 13128525 14587250 15754230 20729250 21880875 26257050 39385575 43761750 65642625 78771150 131285250 196927875 393855750 122004410919907 244008821839814 366013232759721 610022054599535 732026465519442 1098039698279163 1220044109199070 1830066163798605 2196079396558326 2318083807478233 3050110272997675 3294119094837489 3660132327597210 4514163204036559 4636167614956466 5490198491395815 6100220545995350 6588238189674978 6954251422434699 9028326408073118 9150330818993025 10126366106352281 10980396982791630 11590419037391165 13542489612109677 13908502844869398 15250551364988375 16470595474187445 18300661637986050 20252732212704562 20862754267304097 22570816020182795 23180838074782330 27084979224219354 27450992456979075 30379098319056843 30501102729976750 32941190948374890 34771257112173495 40627468836329031 41725508534608194 45141632040365590 45751654094965125 50631830531761405 54901984913958150 57952095186955825 60758196638113686 62588262801912291 67712448060548385 69542514224346990 81254937672658062 82352977370937225 85769100876694621 91137294957170529 91503308189930250 101263661063522810 104313771336520485 112854080100913975 115904190373911650 121882406508987093 125176525603824582 135424896121096770 137254962284895375 151895491595284215 164705954741874450 171538201753389242 173856285560867475 182274589914341058 192400956020693339 203137344181645155 208627542673040970 225708160201827950 243764813017974186 253159152658807025 257307302630083863 273411884871511587 274509924569790750 289760475934779125 303790983190568430 312941314009561455 338562240302741925 347712571121734950 374675545935034397 384801912041386678 406274688363290310 411764886854686125 428845504383473105 455686474785852645 506318305317614050 514614605260167726 521568856682602425 546823769743023174 564270400504569875 577202868062080017 579520951869558250 609412032544935465 625882628019122910 677124480605483850 749351091870068794 759477457976421075 771921907890251589 823529773709372250 857691008766946210 869281427804337375 911372949571705290 962004780103466695 1015686720908225775 1043137713365204850 1124026637805103191 1128540801009139750 1154405736124160034 1218824065089870930 1265795763294035125 1286536513150419315 1367059424357557935 1518954915952842150 1543843815780503178 1564706570047807275 1692811201513709625 1731608604186240051 1738562855608674750 1873377729675171985 1924009560206933390 2031373441816451550 2144227521917365525 2248053275610206382 2278432373929263225 2315765723670754767 2531591526588070250 2573073026300838630 2607844283413012125 2734118848715115870 2886014340310400085 3047060162724677325 3129413140095614550 3372079913415309573 3385622403027419250 3463217208372480102 3746755459350343970 3797387289882105375 3859609539451257945 4288455043834731050 4556864747858526450 4631531447341509534 4810023900517333475 5078433604541128875 5194825812558720153 5215688566826024250 5620133189025515955 5772028680620800170 6094120325449354650 6432682565752096575 6744159826830619146 6835297121787789675 7118835372765653543 7594774579764210750 7719219078902515890 7823532850239036375 8658043020931200255 9366888648375859925 9620047801034666950 10116239740245928719 10156867209082257750 10389651625117440306 10721137609586827625 11240266378051031910 11392161869646316125 11578828618353773835 12865365131504193150 13670594243575579350 14237670745531307086 14430071701552000425 15235300813623386625 15647065700478072750 16860399567076547865 17316086041862400510 18733777296751719850 19298047697256289725 20232479480491857438 21356506118296960629 21442275219173655250 22784323739292632250 23157657236707547670 24050119502586667375 25974129062793600765 28100665945127579775 28860143403104000850 30470601627246773250 32163412828760482875 33720799134153095730 34176485608938948375 35594176863828267715 38596095394512579450 42713012236593921258 43290215104656001275 46834443241879299625 48100239005173334750 50581198701229643595 51948258125587201530 56201331890255159550 57894143091768869175 64069518354890881887 64326825657520965750 68352971217877896750 71188353727656535430 72150358507760002125 84301997835382739325 86580430209312002550 93668886483758599250 96490238486281448625 101162397402459287190 106782530591484803145 115788286183537738350 128139036709781763774 129870645313968003825 140503329725637898875 144300717015520004250 168603995670765478650 177970884319141338575 192208555064672645661 192980476972562897250 213565061182969606290 216451075523280006375 252905993506148217975 259741290627936007650 281006659451275797750 289470715458844345875 320347591774454409435 355941768638282677150 384417110129345291322 421509989176913696625 432902151046560012750 505811987012296435950 533912652957424015725 578941430917688691750 640695183548908818870 649353226569840019125 843019978353827393250 889854421595706692875 961042775323363228305 1067825305914848031450 1264529967530741089875 1298706453139680038250 1601737958872272047175 1779708843191413385750 1922085550646726456610 2529059935061482179750 2669563264787120078625 3203475917744544094350 4805213876616816141525 5339126529574240157250 8008689794361360235875 9610427753233632283050 16017379588722720471750 24026069383084080707625 48052138766168161415250
- Sum of all divisors σ(n): 145805617023336068198400
- Sum of proper divisors (its aliquot sum) s(n): 97753478257167906783150
- 48052138766168161415250 is an abundant number, because the sum of its proper divisors (97753478257167906783150) is greater than itself. Its abundance is 49701339490999745367900
Bases of 48052138766168161415250
- Binary: 10100010110011101001011000101011000010101111111111100110101001110000010100102
- Hexadecimal: 0xA2CE962B0AFFE6A7052
- Base-36: 7TP1MFBXJ32GLSI
Squares and roots of 48052138766168161415250
- 48052138766168161415250 squared (480521387661681614152502) is 2309008040003081034077388175424578882932562500
- 48052138766168161415250 cubed (480521387661681614152503) is 110952774750426014976859978109400302523391774724557078780309078125000
-
The
square root of 48052138766168161415250 is 219207980616.9660452931 -
The
cube root of 48052138766168161415250 is 36355565.7653279947
Scales and comparisons
How big is 48052138766168161415250?- 48,052,138,766,168,161,415,250 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,052,138,766,168,161,415,250 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 48052138766168161415250 cubic inches would be around 3029630.5 feet tall.
Recreational maths with 48052138766168161415250
- 48052138766168161415250 backwards is 05251416186166783125084
- 48052138766168161415250 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 48052138766168161415250's digits is 90
- More coming soon!
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The information we have on file for 48052138766168161415250 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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