138299022493257830400
138,299,022,493,257,830,400 is an even composite number composed of five prime numbers multiplied together.
138299022493257830400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and fifty-three divisors.
Prime factorization of 138299022493257830400:
212 × 32 × 52 × 72 × 17500092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 1750009 × 1750009)See below for interesting mathematical facts about the number 138299022493257830400 from the Numbermatics database.
Names of 138299022493257830400
- Cardinal: 138299022493257830400 can be written as One hundred thirty-eight quintillion, two hundred ninety-nine quadrillion, twenty-two trillion, four hundred ninety-three billion, two hundred fifty-seven million, eight hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.382990224932578304 × 1020
Factors of 138299022493257830400
Divisors of 138299022493257830400
- Number of divisors d(n): 1053
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 252 256 280 288 294 300 315 320 336 350 360 384 392 400 420 441 448 450 480 490 504 512 525 560 576 588 600 630 640 672 700 720 735 768 784 800 840 882 896 900 960 980 1008 1024 1050 1120 1152 1176 1200 1225 1260 1280 1344 1400 1440 1470 1536 1568 1575 1600 1680 1764 1792 1800 1920 1960 2016 2048 2100 2205 2240 2304 2352 2400 2450 2520 2560 2688 2800 2880 2940 3072 3136 3150 3200 3360 3528 3584 3600 3675 3840 3920 4032 4096 4200 4410 4480 4608 4704 4800 4900 5040 5120 5376 5600 5760 5880 6144 6272 6300 6400 6720 7056 7168 7200 7350 7680 7840 8064 8400 8820 8960 9216 9408 9600 9800 10080 10240 10752 11025 11200 11520 11760 12288 12544 12600 12800 13440 14112 14336 14400 14700 15360 15680 16128 16800 17640 17920 18432 18816 19200 19600 20160 20480 21504 22050 22400 23040 23520 25088 25200 25600 26880 28224 28672 28800 29400 30720 31360 32256 33600 35280 35840 36864 37632 38400 39200 40320 43008 44100 44800 46080 47040 50176 50400 51200 53760 56448 57600 58800 61440 62720 64512 67200 70560 71680 75264 76800 78400 80640 86016 88200 89600 92160 94080 100352 100800 102400 107520 112896 115200 117600 125440 129024 134400 141120 143360 150528 153600 156800 161280 176400 179200 184320 188160 200704 201600 215040 225792 230400 235200 250880 258048 268800 282240 301056 307200 313600 322560 352800 358400 376320 403200 430080 451584 460800 470400 501760 537600 564480 602112 627200 645120 705600 716800 752640 806400 903168 921600 940800 1003520 1075200 1128960 1254400 1290240 1411200 1505280 1612800 1750009 1806336 1881600 2150400 2257920 2508800 2822400 3010560 3225600 3500018 3763200 4515840 5017600 5250027 5644800 6451200 7000036 7526400 8750045 9031680 10500054 11289600 12250063 14000072 15052800 15750081 17500090 21000108 22579200 24500126 26250135 28000144 31500162 35000180 36750189 42000216 43750225 45158400 49000252 52500270 56000288 61250315 63000324 70000360 73500378 78750405 84000432 85750441 87500450 98000504 105000540 110250567 112000576 122500630 126000648 131250675 140000720 147000756 157500810 168000864 171500882 175000900 183750945 196001008 210001080 220501134 224001152 245001260 252001296 257251323 262501350 280001440 294001512 306251575 315001620 336001728 343001764 350001800 367501890 392002016 393752025 420002160 428752205 441002268 448002304 490002520 504002592 514502646 525002700 551252835 560002880 588003024 612503150 630003240 672003456 686003528 700003600 735003780 771753969 784004032 787504050 840004320 857504410 882004536 896004608 918754725 980005040 1008005184 1029005292 1050005400 1102505670 1120005760 1176006048 1225006300 1260006480 1286256615 1344006912 1372007056 1400007200 1470007560 1543507938 1568008064 1575008100 1680008640 1715008820 1764009072 1792009216 1837509450 1960010080 2016010368 2058010584 2100010800 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263425354752 268801382400 274401411200 282241451520 308701587600 313601612800 322561658880 329281693440 351233806336 352801814400 376321935360 395138032128 403202073600 411602116800 439042257920 451586322432 470402419200 493922540160 526850709504 537602764800 548802822400 564482903040 617403175200 627203225600 658563386880 705603628800 752643870720 790276064256 806404147200 823204233600 878084515840 940804838400 987845080320 1053701419008 1097605644800 1128965806080 1234806350400 1254406451200 1317126773760 1411207257600 1580552128512 1612808294400 1646408467200 1756169031680 1881609676800 1975690160640 2195211289600 2257931612160 2469612700800 2634253547520 2822414515200 3062531500081 3161104257024 3292816934400 3763219353600 3951380321280 4390422579200 4939225401600 5268507095040 5644829030400 6125063000162 6585633868800 7902760642560 8780845158400 9187594500243 9878450803200 11289658060800 12250126000324 13171267737600 15312657500405 15805521285120 18375189000486 19756901606400 21437720500567 24500252000648 26342535475200 27562783500729 30625315000810 36750378000972 39513803212800 42875441001134 45937972501215 49000504001296 55125567001458 61250630001620 64313161501701 73500756001944 76563287502025 79027606425600 85750882002268 91875945002430 98001008002592 107188602502835 110251134002916 122501260003240 128626323003402 137813917503645 147001512003888 150064043503969 153126575004050 171501764004536 183751890004860 192939484505103 196002016005184 214377205005670 220502268005832 229689862506075 245002520006480 257252646006804 275627835007290 294003024007776 300128087007938 306253150008100 321565807508505 343003528009072 367503780009720 385878969010206 392004032010368 428754410011340 441004536011664 450192130511907 459379725012150 490005040012960 514505292013608 535943012514175 551255670014580 588006048015552 600256174015876 612506300016200 643131615017010 686007056018144 689069587518225 735007560019440 750320217519845 771757938020412 784008064020736 857508820022680 882009072023328 900384261023814 918759450024300 964697422525515 980010080025920 1029010584027216 1071886025028350 1102511340029160 1176012096031104 1200512348031752 1225012600032400 1286263230034020 1350576391535721 1372014112036288 1378139175036450 1470015120038880 1500640435039690 1543515876040824 1568016128041472 1607829037542525 1715017640045360 1764018144046656 1800768522047628 1837518900048600 1929394845051030 1960020160051840 2058021168054432 2143772050056700 2205022680058320 2250960652559535 2352024192062208 2401024696063504 2450025200064800 2572526460068040 2701152783071442 2744028224072576 2756278350072900 2940030240077760 3001280870079380 3087031752081648 3136032256082944 3215658075085050 3430035280090720 3528036288093312 3601537044095256 3675037800097200 3751601087599225 3858789690102060 3920040320103680 4116042336108864 4287544100113400 4410045360116640 4501921305119070 4704048384124416 4802049392127008 4823487112627575 4900050400129600 5145052920136080 5402305566142884 5488056448145152 5512556700145800 5880060480155520 6002561740158760 6174063504163296 6272064512165888 6431316150170100 6752881957678605 6860070560181440 7056072576186624 7203074088190512 7350075600194400 7503202175198450 7717579380204120 7840080640207360 8232084672217728 8575088200226800 8820090720233280 9003842610238140 9408096768248832 9604098784254016 9646974225255150 9800100800259200 10290105840272160 10804611132285768 10976112896290304 11025113400291600 11254803262797675 11760120960311040 12005123480317520 12348127008326592 12544129024331776 12862632300340200 13505763915357210 13720141120362880 14112145152373248 14406148176381024 14700151200388800 15006404350396900 15435158760408240 15680161280414720 16464169344435456 17150176400453600 17640181440466560 18007685220476280 18816193536497664 19208197568508032 19293948450510300 19600201600518400 20580211680544320 21609222264571536 21952225792580608 22050226800583200 22509606525595350 23520241920622080 24010246960635040 24696254016653184 25725264600680400 27011527830714420 27440282240725760 28224290304746496 28812296352762048 29400302400777600 30012808700793800 30870317520816480 31360322560829440 32928338688870912 33764409788393025 34300352800907200 35280362880933120 36015370440952560 37632387072995328 38416395137016064 38587896901020600 39200403201036800 41160423361088640 43218444529143072 43904451585161216 44100453601166400 45019213051190700 47040483841244160 48020493921270080 49392508033306368 51450529201360800 54023055661428840 54880564481451520 56448580609492992 57624592705524096 58800604801555200 60025617401587600 61740635041632960 62720645121658880 65856677377741824 67528819576786050 68600705601814400 70560725761866240 72030740881905120 76832790274032128 77175793802041200 78400806402073600 82320846722177280 86436889058286144 87808903170322432 88200907202332800 90038426102381400 94080967682488320 96040987842540160 98785016066612736 102901058402721600 108046111322857680 109761128962903040 112897161218985984 115249185411048192 117601209603110400 120051234803175200 123481270083265920 131713354755483648 135057639153572100 137201411203628800 141121451523732480 144061481763810240 153665580548064256 154351587604082400 156801612804147200 164641693444354560 172873778116572288 176401814404665600 180076852204762800 188161935364976640 192081975685080320 197570032133225472 205802116805443200 216092222645715360 219522257925806080 230498370822096384 235202419206220800 240102469606350400 246962540166531840 263426709510967296 270115278307144200 274402822407257600 282242903047464960 288122963527620480 307331161096128512 308703175208164800 313603225608294400 329283386888709120 345747556233144576 352803628809331200 360153704409525600 384163951370160640 395140064266450944 411604233610886400 432184445291430720 439044515851612160 460996741644192768 470404838412441600 480204939212700800 493925080333063680 540230556614288400 548805644814515200 564485806094929920 576245927055240960 614662322192257024 617406350416329600 658566773777418240 691495112466289152 705607257618662400 720307408819051200 768327902740321280 790280128532901888 823208467221772800 864368890582861440 921993483288385536 940809676824883200 960409878425401600 987850160666127360 1080461113228576800 1097611289629030400 1152491854110481920 1234812700832659200 1317133547554836480 1382990224932578304 1411214515237324800 1440614817638102400 1536655805480642560 1646416934443545600 1728737781165722880 1843986966576771072 1920819756850803200 1975700321332254720 2160922226457153600 2195222579258060800 2304983708220963840 2469625401665318400 2765980449865156608 2822429030474649600 2881229635276204800 3073311610961285120 3292833868887091200 3457475562331445760 3841639513701606400 3951400642664509440 4321844452914307200 4609967416441927680 4939250803330636800 5531960899730313216 5762459270552409600 6585667737774182400 6914951124662891520 7683279027403212800 8643688905828614400 9219934832883855360 9878501606661273600 11524918541104819200 13829902249325783040 15366558054806425600 17287377811657228800 19757003213322547200 23049837082209638400 27659804498651566080 34574755623314457600 46099674164419276800 69149511246628915200 138299022493257830400
- Sum of all divisors σ(n): 576232355498700396951
- Sum of proper divisors (its aliquot sum) s(n): 437933333005442566551
- 138299022493257830400 is an abundant number, because the sum of its proper divisors (437933333005442566551) is greater than itself. Its abundance is 299634310512184736151
Bases of 138299022493257830400
- Binary: 11101111111010010001101010000110111110011100110010000010000000000002
- Hexadecimal: 0x77F48D437CE641000
- Base-36: T6QBJWWP1AF40
Squares and roots of 138299022493257830400
- 138299022493257830400 squared (1382990224932578304002) is 19126619622590635319627024850915164160000
- 138299022493257830400 cubed (1382990224932578304003) is 2645192797404648868988198546768099823466748848021438464000000
-
138299022493257830400 is a
perfect square number . Itssquare root is 11760060480 -
The
cube root of 138299022493257830400 is 5171379.0316203405
Scales and comparisons
How big is 138299022493257830400?- 138,299,022,493,257,830,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,299,022,493,257,830,400 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 138299022493257830400 cubic inches would be around 430948.3 feet tall.
Recreational maths with 138299022493257830400
- 138299022493257830400 backwards is 004038752394220992831
- The number of decimal digits it has is: 21
- The sum of 138299022493257830400's digits is 81
- More coming soon!
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The information we have on file for 138299022493257830400 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 138299022493257830400, math, Factors of 138299022493257830400, curriculum, school, college, exams, university, Prime factorization of 138299022493257830400, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quintillion, two hundred ninety-nine quadrillion, twenty-two trillion, four hundred ninety-three billion, two hundred fifty-seven million, eight hundred thirty thousand, four hundred.