12813395638804800
12,813,395,638,804,800 is an even composite number composed of eight prime numbers multiplied together.
What does the number 12813395638804800 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1344 divisors.
12813395638804800 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 12813395638804800:
26 × 3 × 52 × 13 × 367 × 643 × 859 × 1013
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 367 × 643 × 859 × 1013)See below for interesting mathematical facts about the number 12813395638804800 from the Numbermatics database.
Names of 12813395638804800
- Cardinal: 12813395638804800 can be written as Twelve quadrillion, eight hundred thirteen trillion, three hundred ninety-five billion, six hundred thirty-eight million, eight hundred four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.28133956388048 × 1016
Factors of 12813395638804800
Divisors of 12813395638804800
- Number of divisors d(n): 1344
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 130 150 156 160 192 195 200 208 240 260 300 312 320 325 367 390 400 416 480 520 600 624 643 650 734 780 800 832 859 960 975 1013 1040 1101 1200 1248 1286 1300 1468 1560 1600 1718 1835 1929 1950 2026 2080 2202 2400 2496 2572 2577 2600 2936 3039 3120 3215 3436 3670 3858 3900 4052 4160 4295 4404 4771 4800 5065 5144 5154 5200 5505 5872 6078 6240 6430 6872 7340 7716 7800 8104 8359 8590 8808 9175 9542 9645 10130 10288 10308 10400 11010 11167 11744 12156 12480 12860 12885 13169 13744 14313 14680 15195 15432 15600 16075 16208 16718 17180 17616 18350 19084 19290 20260 20576 20616 20800 21475 22020 22334 23488 23855 24312 25077 25325 25720 25770 26338 27488 27525 28626 29360 30390 30864 31200 32150 32416 33436 33501 34360 35232 36700 38168 38580 39507 40520 41152 41232 41795 42950 44040 44668 47710 48225 48624 50154 50650 51440 51540 52676 54976 55050 55835 57252 58720 60780 61728 62400 64300 64425 64832 65845 66872 67002 68720 70464 71565 73400 75975 76336 77160 79014 81040 82464 83590 85900 88080 89336 95420 96450 97248 100308 101300 102880 103080 105352 110100 111670 114504 117440 119275 121560 123456 125385 128600 128850 131690 133744 134004 137440 143130 146800 151950 152672 154320 158028 162080 164928 167180 167505 171800 176160 178672 190840 192900 194496 197535 200616 202600 205760 206160 208975 210704 220200 223340 229008 235981 238550 243120 250770 257200 257700 263380 267488 268008 274880 279175 286260 293600 303900 305344 308640 315253 316056 324160 329225 334360 335010 343600 352320 357344 357825 371771 381680 385800 395070 401232 405200 412320 417950 421408 440400 446680 458016 471962 477100 486240 501540 514400 515400 526760 534976 536016 552337 558350 572520 587200 607800 617280 626925 630506 632112 651359 658450 668720 670020 687200 707943 714688 715650 743542 763360 771600 790140 802464 810400 824640 835900 837525 842816 870167 880800 893360 916032 943924 945759 954200 972480 987675 1003080 1028800 1030800 1053520 1072032 1104674 1115313 1116700 1145040 1179905 1215600 1253850 1261012 1264224 1302718 1316900 1337440 1340040 1374400 1415886 1431300 1487084 1526720 1543200 1576265 1580280 1604928 1620800 1657011 1671800 1675050 1740334 1761600 1786720 1858855 1887848 1891518 1908400 1954077 1975350 2006160 2061600 2107040 2144064 2209348 2230626 2233400 2290080 2359810 2431200 2507700 2522024 2528448 2605436 2610501 2633800 2674880 2680080 2761685 2831772 2862600 2974168 3067753 3086400 3152530 3160560 3256795 3314022 3343600 3350100 3480668 3539715 3573440 3717710 3775696 3783036 3816800 3908154 3950700 4012320 4098289 4123200 4214080 4350835 4418696 4461252 4466800 4580160 4719620 4728795 4833023 4862400 5015400 5044048 5210872 5221002 5267600 5360160 5523370 5576565 5663544 5725200 5899525 5948336 6135506 6305060 6321120 6513590 6628044 6687200 6700200 6961336 7079430 7180381 7435420 7551392 7566072 7633600 7816308 7881325 7901400 8024640 8196578 8285055 8467667 8701670 8837392 8922504 8933600 9203259 9294275 9439240 9457590 9666046 9770385 10030800 10088096 10421744 10442004 10535200 10720320 11046740 11153130 11312171 11327088 11450400 11799050 11896672 12271012 12294867 12610120 12642240 13027180 13052505 13256088 13374400 13400400 13808425 13922672 14158860 14360762 14499069 14870840 15102784 15132144 15338765 15632616 15762650 15802800 16283975 16393156 16570110 16935334 17403340 17674784 17698575 17845008 17867200 18406518 18588550 18878480 18915180 19332092 19540770 20061600 20176192 20491445 20843488 20884008 21070400 21541143 21754175 22093480 22306260 22624342 22654176 22900800 23598100 23643975 23793344 24165115 24542024 24589734 25220240 25403001 26054360 26105010 26512176 26800800 27616850 27845344 27882825 28317720 28721524 28998138 29741680 30264288 30677530 31265232 31525300 31605600 32567950 32786312 33140220 33870668 33936513 34806680 35349568 35397150 35690016 35901905 36813036 37177100 37756960 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2154114300 2171936832 2238069524 2262434200 2297721920 2319851040 2390487530 2432492148 2454202400 2458973400 2540300100 2554810312 2635199827 2651217600 2709653440 2714921040 2797586905 2868585036 2872152400 2899813800 2945042880 3040615185 3107633789 3126523200 3193512890 3243322864 3278631200 3357104286 3387066800 3393651300 3446582880 3585731295 3619894720 3681303600 3824780048 3832215468 3866418400 3934357440 4054153580 4064480160 4151566757 4176801600 4308228600 4476139048 4524868400 4639702080 4780975060 4790269335 4864984296 4908404800 4917946800 5067691975 5080600200 5109620624 5270399654 5429842080 5595173810 5737170072 5744304800 5799627600 5976218825 6081230370 6215267578 6387025780 6486645728 6557262400 6714208572 6774133600 6787302600 6893165760 7171462590 7273725953 7362607200 7649560096 7664430936 7732836800 7905599481 7983782225 8108307160 8128960320 8303133514 8392760715 8616457200 8952278096 9049736800 9322901367 9561950120 9580538670 9729968592 9835893600 10135383950 10161200400 10219241248 10540799308 10859684160 11190347620 11474340144 11488609600 11599255200 11952437650 12162460740 12430535156 12454700271 12774051560 12973291456 13175999135 13428417144 13548267200 13574605200 13987934525 14342925180 14547451906 14725214400 15203075925 15299120192 15328861872 15538168945 15811198962 15967564450 16216614320 16606267028 16785521430 17232914400 17904556192 17928656475 18099473600 18645802734 19123900240 19161077340 19459937184 19671787200 20270767900 20322400800 20438482496 20757833785 21081598616 21821177859 22380695240 22948680288 23198510400 23904875300 23951346675 24324921480 24861070312 24909400542 25548103120 26351998270 26856834288 27149210400 27975869050 28685850360 29094903812 30406151850 30657723744 31076337890 31622397924 31935128900 32433228640 33212534056 33571042860 34465828800 35809112384 35857312950 36368629765 37291605468 38247800480 38322154680 38919874368 39527997405 40541535800 40644801600 41515667570 41963803575 42163197232 43642355718 44761390480 45897360576 46614506835 47809750600 47902693350 48649842960 49722140624 49818801084 51096206240 52703996540 53713668576 54298420800 55951738100 57371700720 58189807624 60812303700 61315447488 62152675780 62273501355 63244795848 63870257800 64866457280 65879995675 66425068112 67142085720 71714625900 72737259530 74583210936 76495600960 76644309360 77690844725 79055994810 81083071600 83031335140 83927607150 84326394464 87284711436 89522780960 93229013670 95619501200 95805386700 97299685920 99444281248 99637602168 102192412480 103789168925 105407993080 107427337152 109105889295 111903476200 114743401440 116379615248 121624607400 124305351560 124547002710 126489591696 127740515600 131759991350 132850136224 134284171440 143429251800 145474519060 149166421872 153288618720 155381689450 158111989620 162166143200 166062670280 167855214300 168652788928 174569422872 179045561920 181843148825 186458027340 191239002400 191610773400 194599371840 197639987025 198888562496 199275204336 205342878827 207578337850 210815986160 218211778590 223806952400 229486802880 232759230496 233072534175 243249214800 248610703120 249094005420 252979183392 255481031200 263519982700 265700272448 268568342880 286858503600 290949038120 298332843744 306577237440 310763378900 311367506775 316223979240 324332286400 332125340560 335710428600 349138845744 363686297650 372916054680 382478004800 383221546800 395279974050 398550408672 410685757654 415156675700 421631972320 436423557180 447613904800 465518460992 466145068350 486498429600 497221406240 498188010840 505958366784 510962062400 527039965400 537136685760 545529446475 573717007200 581898076240 596665687488 616028636481 621526757800 622735013550 632447958480 664250681120 671420857200 698277691488 727372595300 745832109360 766443093600 790559948100 797100817344 821371515308 830313351400 843263944640 872847114360 895227809600 932290136700 972996859200 994442812480 996376021680 1026714394135 1054079930800 1091058892950 1147434014400 1163796152480 1232057272962 1243053515600 1245470027100 1264895916960 1328501362240 1342841714400 1396555382976 1454745190600 1491664218720 1532886187200 1581119896200 1642743030616 1660626702800 1745694228720 1864580273400 1992752043360 2053428788270 2108159861600 2182117785900 2327592304960 2464114545924 2486107031200 2490940054200 2529791833920 2669457424751 2685683428800 2909490381200 2983328437440 3080143182405 3162239792400 3285486061232 3321253405600 3491388457440 3729160546800 3985504086720 4106857576540 4216319723200 4364235571800 4928229091848 4972214062400 4981880108400 5133571970675 5338914849502 5818980762400 6160286364810 6324479584800 6570972122464 6642506811200 6982776914880 7458321093600 8008372274253 8213715153080 8728471143600 9856458183696 9963760216800 10267143941350 10677829699004 11637961524800 12320572729620 12648959169600 13141944244928 13347287123755 14916642187200 15400715912025 16016744548506 16427430306160 17456942287200 19712916367392 19927520433600 20534287882700 21355659398008 24641145459240 26694574247510 30801431824050 32033489097012 32854860612320 34913884574400 39425832734784 40041861371265 41068575765400 42711318796016 49282290918480 53389148495020 61602863648100 64066978194024 65709721224640 66736435618775 80083722742530 82137151530800 85422637592032 98564581836960 106778296990040 123205727296200 128133956388048 133472871237550 160167445485060 164274303061600 170845275184064 197129163673920 200209306856325 213556593980080 246411454592400 256267912776096 266945742475100 320334890970120 328548606123200 400418613712650 427113187960160 492822909184800 512535825552192 533891484950200 640669781940240 800837227425300 854226375920320 985645818369600 1067782969900400 1281339563880480 1601674454850600 2135565939800800 2562679127760960 3203348909701200 4271131879601600 6406697819402400 12813395638804800
- Sum of all divisors σ(n): 45564177399336960
- Sum of proper divisors (its aliquot sum) s(n): 32750781760532160
- 12813395638804800 is an abundant number, because the sum of its proper divisors (32750781760532160) is greater than itself. Its abundance is 19937386121727360
Bases of 12813395638804800
- Binary: 1011011000010110110111001001110110101011100001010000002
- Hexadecimal: 0x2D85B7276AE140
- Base-36: 3I5YWOZ9TMO
Squares and roots of 12813395638804800
- 12813395638804800 squared (128133956388048002) is 164183107796541868663572503040000
- 12813395638804800 cubed (128133956388048003) is 2103743117405627936572845695849920889966592000000
-
The
square root of 12813395638804800 is 113196270.4279818575 -
The
cube root of 12813395638804800 is 234002.9928684635
Scales and comparisons
How big is 12813395638804800?- 12,813,395,638,804,800 seconds is equal to 407,426,346 years, 45 weeks, 4 days, 22 hours, 40 minutes.
-
To count from 1 to 12,813,395,638,804,800 would take you about one billion, two hundred twenty-two million, two hundred seventy-nine thousand and forty 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 12813395638804800 cubic inches would be around 19500.2 feet tall.
Recreational maths with 12813395638804800
- 12813395638804800 backwards is 00840883659331821
- The number of decimal digits it has is: 17
- The sum of 12813395638804800's digits is 69
- More coming soon!
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"Number 12813395638804800 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 12813395638804800 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/12813395638804800/
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Numbermatics. 2024. "Number 12813395638804800 - Facts about the integer". https://numbermatics.com/n/12813395638804800/
The information we have on file for 12813395638804800 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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