48128613740511004800
48,128,613,740,511,004,800 is an even composite number composed of six prime numbers multiplied together.
48128613740511004800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 48128613740511004800:
27 × 32 × 52 × 11 × 31627 × 4803526393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 31627 × 4803526393)See below for interesting mathematical facts about the number 48128613740511004800 from the Numbermatics database.
Names of 48128613740511004800
- Cardinal: 48128613740511004800 can be written as Forty-eight quintillion, one hundred twenty-eight quadrillion, six hundred thirteen trillion, seven hundred forty billion, five hundred eleven million, four thousand, eight hundred.
Scientific notation
- Scientific notation: 4.81286137405110048 × 1019
Factors of 48128613740511004800
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 4803558041
Divisors of 48128613740511004800
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 128 132 144 150 160 165 176 180 192 198 200 220 225 240 264 275 288 300 320 330 352 360 384 396 400 440 450 480 495 528 550 576 600 640 660 704 720 792 800 825 880 900 960 990 1056 1100 1152 1200 1320 1408 1440 1584 1600 1650 1760 1800 1920 1980 2112 2200 2400 2475 2640 2880 3168 3200 3300 3520 3600 3960 4224 4400 4800 4950 5280 5760 6336 6600 7040 7200 7920 8800 9600 9900 10560 12672 13200 14400 15840 17600 19800 21120 26400 28800 31627 31680 35200 39600 52800 63254 63360 79200 94881 105600 126508 158135 158400 189762 253016 284643 316270 316800 347897 379524 474405 506032 569286 632540 695794 759048 790675 948810 1012064 1043691 1138572 1265080 1391588 1423215 1518096 1581350 1739485 1897620 2024128 2087382 2277144 2372025 2530160 2783176 2846430 3036192 3131073 3162700 3478970 3795240 4048256 4174764 4554288 4744050 5060320 5218455 5566352 5692860 6072384 6262146 6325400 6957940 7116075 7590480 8349528 8697425 9108576 9488100 10120640 10436910 11132704 11385720 12144768 12524292 12650800 13915880 14232150 15180960 15655365 16699056 17394850 18217152 18976200 20241280 20873820 22265408 22771440 25048584 25301600 26092275 27831760 28464300 30361920 31310730 33398112 34789700 36434304 37952400 41747640 44530816 45542880 50097168 50603200 52184550 55663520 56928600 60723840 62621460 66796224 69579400 75904800 78276825 83495280 91085760 100194336 101206400 104369100 111327040 113857200 125242920 133592448 139158800 151809600 156553650 166990560 182171520 200388672 208738200 222654080 227714400 250485840 278317600 303619200 313107300 333981120 400777344 417476400 455428800 500971680 556635200 626214600 667962240 834952800 910857600 1001943360 1113270400 1252429200 1669905600 2003886720 2504858400 3339811200 4803526393 5009716800 9607052786 10019433600 14410579179 19214105572 24017631965 28821158358 38428211144 43231737537 48035263930 52838790323 57642316716 72052895895 76856422288 86463475074 96070527860 105677580646 115284633432 120088159825 144105791790 153712844576 158516370969 172926950148 192141055720 211355161292 216158687685 230569266864 240176319650 264193951615 288211583580 307425689152 317032741938 345853900296 360264479475 384282111440 422710322584 432317375370 461138533728 475549112907 480352639300 528387903230 576423167160 614851378304 634065483876 691707800592 720528958950 768564222880 792581854845 845420645168 864634750740 922277067456 951098225814 960705278600 1056775806460 1080793438425 1152846334320 1268130967752 1320969758075 1383415601184 1441057917900 1537128445760 1585163709690 1690841290336 1729269501480 1844554134912 1902196451628 1921410557200 2113551612920 2161586876850 2305692668640 2377745564535 2536261935504 2641939516150 2766831202368 2882115835800 3074256891520 3170327419380 3381682580672 3458539002960 3804392903256 3842821114400 3962909274225 4227103225840 4323173753700 4611385337280 4755491129070 5072523871008 5283879032300 5533662404736 5764231671600 6340654838760 6763365161344 6917078005920 7608785806512 7685642228800 7925818548450 8454206451680 8646347507400 9222770674560 9510982258140 10145047742016 10567758064600 11528463343200 11888727822675 12681309677520 13834156011840 15217571613024 15371284457600 15851637096900 16908412903360 17292695014800 19021964516280 20290095484032 21135516129200 23056926686400 23777455645350 25362619355040 27668312023680 30435143226048 31703274193800 33816825806720 34585390029600 38043929032560 42271032258400 46113853372800 47554911290700 50725238710080 60870286452096 63406548387600 69170780059200 76087858065120 84542064516800 95109822581400 101450477420160 126813096775200 138341560118400 151921129231411 152175716130240 169084129033600 190219645162800 253626193550400 303842258462822 304351432260480 380439290325600 455763387694233 507252387100800 607684516925644 759605646157055 760878580651200 911526775388466 1215369033851288 1367290163082699 1519211292314110 1521757161302400 1671132421545521 1823053550776932 2278816938471165 2430738067702576 2734580326165398 3038422584628220 3342264843091042 3646107101553864 3798028230785275 4557633876942330 4861476135405152 5013397264636563 5469160652330796 6076845169256440 6684529686182084 6836450815413495 7292214203107728 7596056461570550 8355662107727605 9115267753884660 9722952270810304 10026794529273126 10938321304661592 11394084692355825 12153690338512880 13369059372364168 13672901630826990 14584428406215456 15040191793909689 15192112923141100 16711324215455210 18230535507769320 19445904541620608 20053589058546252 21876642609323184 22788169384711650 24307380677025760 25066986323182815 26738118744728336 27345803261653980 29168856812430912 30080383587819378 30384225846282200 33422648430910420 34182254077067475 36461071015538640 40107178117092504 41778310538638025 43753285218646368 45576338769423300 48614761354051520 50133972646365630 53476237489456672 54691606523307960 58337713624861824 60160767175638756 60768451692564400 66845296861820840 68364508154134950 72922142031077280 75200958969548445 80214356234185008 83556621077276050 87506570437292736 91152677538846600 97229522708103040 100267945292731260 106952474978913344 109383213046615920 120321534351277512 121536903385128800 125334931615914075 133690593723641680 136729016308269900 145844284062154560 150401917939096890 160428712468370016 167113242154552100 175013140874585472 182305355077693200 200535890585462520 213904949957826688 218766426093231840 240643068702555024 243073806770257600 250669863231828150 267381187447283360 273458032616539800 291688568124309120 300803835878193780 320857424936740032 334226484309104200 364610710155386400 376004794847742225 401071781170925040 437532852186463680 481286137405110048 486147613540515200 501339726463656300 534762374894566720 546916065233079600 601607671756387560 641714849873480064 668452968618208400 729221420310772800 752009589695484450 802143562341850080 875065704372927360 962572274810220096 1002679452927312600 1069524749789133440 1093832130466159200 1203215343512775120 1336905937236416800 1458442840621545600 1504019179390968900 1604287124683700160 1925144549620440192 2005358905854625200 2187664260932318400 2406430687025550240 2673811874472833600 3008038358781937800 3208574249367400320 4010717811709250400 4375328521864636800 4812861374051100480 5347623748945667200 6016076717563875600 8021435623418500800 9625722748102200960 12032153435127751200 16042871246837001600 24064306870255502400 48128613740511004800
- Sum of all divisors σ(n): 187352021797271753760
- Sum of proper divisors (its aliquot sum) s(n): 139223408056760748960
- 48128613740511004800 is an abundant number, because the sum of its proper divisors (139223408056760748960) is greater than itself. Its abundance is 91094794316249744160
Bases of 48128613740511004800
- Binary: 1010011011111010110010111100110011010111110010010010001000100000002
- Hexadecimal: 0x29BEB2F335F248880
- Base-36: A5NPLOWM5ZJ40
Squares and roots of 48128613740511004800
- 48128613740511004800 squared (481286137405110048002) is 2316363460583304692877233029905623040000
- 48128613740511004800 cubed (481286137405110048003) is 111483362277047259503120357234220391835204886520430592000000
-
The
square root of 48128613740511004800 is 6937478918.2029955053 -
The
cube root of 48128613740511004800 is 3637484.2169312791
Scales and comparisons
How big is 48128613740511004800?- 48,128,613,740,511,004,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,128,613,740,511,004,800 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 48128613740511004800 cubic inches would be around 303123.7 feet tall.
Recreational maths with 48128613740511004800
- 48128613740511004800 backwards is 00840011504731682184
- The number of decimal digits it has is: 20
- The sum of 48128613740511004800's digits is 63
- More coming soon!
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The information we have on file for 48128613740511004800 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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