21438485045362609473600
21,438,485,045,362,609,473,600 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21438485045362609473600 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1512 divisors.
21438485045362609473600 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 21438485045362609473600:
26 × 32 × 52 × 132 × 757 × 5419 × 2147483647
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 13 × 757 × 5419 × 2147483647)See below for interesting mathematical facts about the number 21438485045362609473600 from the Numbermatics database.
Names of 21438485045362609473600
- Cardinal: 21438485045362609473600 can be written as Twenty-one sextillion, four hundred thirty-eight quintillion, four hundred eighty-five quadrillion, forty-five trillion, three hundred sixty-two billion, six hundred nine million, four hundred seventy-three thousand, six hundred.
Scientific notation
- Scientific notation: 2.14384850453626094736 × 1022
Factors of 21438485045362609473600
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 2147489846
Divisors of 21438485045362609473600
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 45 48 50 52 60 64 65 72 75 78 80 90 96 100 104 117 120 130 144 150 156 160 169 180 192 195 200 208 225 234 240 260 288 300 312 320 325 338 360 390 400 416 450 468 480 507 520 576 585 600 624 650 676 720 757 780 800 832 845 900 936 960 975 1014 1040 1170 1200 1248 1300 1352 1440 1514 1521 1560 1600 1690 1800 1872 1950 2028 2080 2271 2340 2400 2496 2535 2600 2704 2880 2925 3028 3042 3120 3380 3600 3744 3785 3900 4056 4160 4225 4542 4680 4800 5070 5200 5408 5419 5850 6056 6084 6240 6760 6813 7200 7488 7570 7605 7800 8112 8450 9084 9360 9841 10140 10400 10816 10838 11355 11700 12112 12168 12480 12675 13520 13626 14400 15140 15210 15600 16224 16257 16900 18168 18720 18925 19682 20280 20800 21676 22710 23400 24224 24336 25350 27040 27095 27252 29523 30280 30420 31200 32448 32514 33800 34065 36336 37440 37850 38025 39364 40560 43352 45420 46800 48448 48672 48771 49205 50700 54080 54190 54504 56775 59046 60560 60840 62400 65028 67600 68130 70447 72672 75700 76050 78728 81120 81285 86704 88569 90840 93600 97344 97542 98410 101400 108380 109008 113550 118092 121120 121680 127933 130056 135200 135475 136260 140894 145344 147615 151400 152100 157456 162240 162570 170325 173408 177138 181680 187200 195084 196820 202800 211341 216760 218016 227100 236184 242240 243360 243855 246025 255866 260112 270400 270950 272520 281788 295230 302800 304200 314912 325140 340650 346816 352235 354276 363360 383799 390168 393640 405600 406425 422682 433520 436032 442845 454200 472368 486720 487710 492050 511732 520224 541900 545040 563576 590460 605600 608400 629824 634023 639665 650280 681300 704470 708552 726720 738075 767598 780336 787280 811200 812850 845364 867040 885690 908400 915811 944736 975420 984100 1023464 1040448 1056705 1083800 1090080 1127152 1151397 1180920 1211200 1216800 1219275 1268046 1279330 1300560 1362600 1408940 1417104 1476150 1535196 1560672 1574560 1625700 1690728 1734080 1761175 1771380 1816800 1831622 1889472 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29046485852200128 29500337193640755 30256756096041800 30432076660982880 31467026339883472 32968083049398120 33515175983307840 33813418512203200 34038850608047025 35237483638005604 35400404632368906 36308107315250160 38040095826228600 39333782924854340 39561699659277744 41210103811747650 41893969979134800 43569728778300192 43957444065864160 44046854547507005 45385134144062700 47200539509825208 48410809753666880 49167228656067925 49452124574097180 50720127768304800 52748932879036992 52856225457008406 54462160972875240 54946805082330200 55858626638846400 59000674387281510 60513512192083600 60864153321965760 61815155717621475 62934052679766944 65936166098796240 68077701216094050 70474967276011208 70800809264737812 72616214630500320 76080191652457200 78667565849708680 79123399318555488 79284338185512609 82420207623495300 83787939958269600 87139457556600384 87914888131728320 88093709095014010 88501011580922265 90770268288125400 94401079019650416 98334457312135850 98904249148194360 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395616996592777440 396421690927563045 422849803656067248 435697287783001920 439574440658641600 440468545475070050 442505057904611325 458087287294072852 472005395098252080 494521245740971800 528562254570084060 544621609728752400 563799738208089664 566406474117902496 572609109117591065 590006743872815100 629340526797669440 634274705484100872 659361660987962400 660702818212605075 687130930941109278 704749672760112080 708008092647378120 726162146305003200 786675658497086800 791233993185554880 792843381855126090 845699607312134496 880937090950140100 885010115809222650 916174574588145704 944010790196504160 989042491481943600 1030696396411663917 1057124509140168120 1089243219457504800 1132812948235804992 1145218218235182130 1180013487745630200 1268549410968201744 1318723321975924800 1321405636425210150 1374261861882218556 1409499345520224160 1416016185294756240 1488783683705736769 1573351316994173600 1585686763710252180 1691399214624268992 1717827327352773195 1761874181900280200 1770020231618445300 1832349149176291408 1888021580393008320 1978084982963887200 1982108454637815225 2061392792823327834 2114249018280336240 2178486438915009600 2290436436470364260 2360026975491260400 2537098821936403488 2642811272850420300 2748523723764437112 2818998691040448320 2832032370589512480 2863045545587955325 2977567367411473538 3146702633988347200 3171373527420504360 3435654654705546390 3523748363800560400 3540040463236890600 3664698298352582816 3956169965927774400 3964216909275630450 4122785585646655668 4228498036560672480 4466351051117210307 4580872872940728520 4720053950982520800 5074197643872806976 5153481982058319585 5285622545700840600 5497047447528874224 5664064741179024960 5726091091175910650 5955134734822947076 6342747054841008720 6871309309411092780 7047496727601120800 7080080926473781200 7329396596705165632 7443918418528683845 7928433818551260900 8245571171293311336 8456996073121344960 8589136636763865975 8932702102234420614 9161745745881457040 9440107901965041600 10306963964116639170 10571245091401681200 10994094895057748448 11452182182351821300 11910269469645894152 12685494109682017440 13399053153351630921 13742618618822185560 14094993455202241600 14160161852947562400 14887836837057367690 15856867637102521800 16491142342586622672 17178273273527731950 17865404204468841228 18323491491762914080 20613927928233278340 21142490182803362400 21988189790115496896 22331755255586051535 22904364364703642600 23820538939291788304 25370988219364034880 25767409910291597925 26798106306703261842 27485237237644371120 28320323705895124800 29775673674114735380 31713735274205043600 32982284685173245344 34356546547055463900 35730808408937682456 36646982983525828160 37219592092643419225 41227855856466556680 42284980365606724800 44663510511172103070 45808728729407285200 47641077878583576608 51534819820583195850 53596212613406523684 54970474475288742240 59551347348229470760 63427470548410087200 65964569370346490688 66995265766758154605 68713093094110927800 71461616817875364912 74439184185286838450 82455711712933113360 89327021022344206140 91617457458814570400 95282155757167153216 103069639641166391700 107192425226813047368 109940948950577484480 111658776277930257675 119102694696458941520 126854941096820174400 133990531533516309210 137426186188221855600 142923233635750729824 148878368370573676900 164911423425866226720 178654042044688412280 183234914917629140800 206139279282332783400 214384850453626094736 223317552555860515350 238205389392917883040 267981063067032618420 274852372376443711200 285846467271501459648 297756736741147353800 329822846851732453440 334976328833790773025 357308084089376824560 412278558564665566800 428769700907252189472 446635105111721030700 476410778785835766080 535962126134065236840 549704744752887422400 595513473482294707600 669952657667581546050 714616168178753649120 824557117129331133600 857539401814504378944 893270210223442061400 1071924252268130473680 1191026946964589415200 1339905315335163092100 1429232336357507298240 1649114234258662267200 1786540420446884122800 2143848504536260947360 2382053893929178830400 2679810630670326184200 3573080840893768245600 4287697009072521894720 5359621261340652368400 7146161681787536491200 10719242522681304736800 21438485045362609473600
- Sum of all divisors σ(n): 82633893211849296445440
- Sum of proper divisors (its aliquot sum) s(n): 61195408166486686971840
- 21438485045362609473600 is an abundant number, because the sum of its proper divisors (61195408166486686971840) is greater than itself. Its abundance is 39756923121124077498240
Bases of 21438485045362609473600
- Binary: 1001000101000101110101111110001001011001011101000101000000111001000010000002
- Hexadecimal: 0x48A2EBF12CBA281C840
- Base-36: 3HOFK45LZWJW5S0
Squares and roots of 21438485045362609473600
- 21438485045362609473600 squared (214384850453626094736002) is 459608641040236247579029330254344469096960000
- 21438485045362609473600 cubed (214384850453626094736003) is 9853312977660536484379549174428401046856130017015520132960256000000
-
The
square root of 21438485045362609473600 is 146418868474.5330541977 -
The
cube root of 21438485045362609473600 is 27779943.8891973827
Scales and comparisons
How big is 21438485045362609473600?- 21,438,485,045,362,609,473,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 21,438,485,045,362,609,473,600 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 21438485045362609473600 cubic inches would be around 2314995.3 feet tall.
Recreational maths with 21438485045362609473600
- 21438485045362609473600 backwards is 00637490626354058483412
- 21438485045362609473600 is a
Harshad number . - The number of decimal digits it has is: 23
- The sum of 21438485045362609473600's digits is 90
- More coming soon!
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The information we have on file for 21438485045362609473600 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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