42681984553787376000
42,681,984,553,787,376,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 42681984553787376000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 768 divisors.
42681984553787376000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42681984553787376000:
27 × 3 × 53 × 7 × 312 × 132184928131
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 31 × 31 × 132184928131)See below for interesting mathematical facts about the number 42681984553787376000 from the Numbermatics database.
Names of 42681984553787376000
- Cardinal: 42681984553787376000 can be written as Forty-two quintillion, six hundred eighty-one quadrillion, nine hundred eighty-four trillion, five hundred fifty-three billion, seven hundred eighty-seven million, three hundred seventy-six thousand.
Scientific notation
- Scientific notation: 4.2681984553787376 × 1019
Factors of 42681984553787376000
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 15
- Sum of prime factors: 132184928179
Divisors of 42681984553787376000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 31 32 35 40 42 48 50 56 60 62 64 70 75 80 84 93 96 100 105 112 120 124 125 128 140 150 155 160 168 175 186 192 200 210 217 224 240 248 250 280 300 310 320 336 350 372 375 384 400 420 434 448 465 480 496 500 525 560 600 620 640 651 672 700 744 750 775 800 840 868 875 896 930 960 961 992 1000 1050 1085 1120 1200 1240 1302 1344 1400 1488 1500 1550 1600 1680 1736 1750 1860 1920 1922 1984 2000 2100 2170 2240 2325 2400 2480 2604 2625 2688 2800 2883 2976 3000 3100 3200 3255 3360 3472 3500 3720 3844 3875 3968 4000 4200 4340 4480 4650 4800 4805 4960 5208 5250 5425 5600 5766 5952 6000 6200 6510 6720 6727 6944 7000 7440 7688 7750 8000 8400 8680 9300 9600 9610 9920 10416 10500 10850 11200 11532 11625 11904 12000 12400 13020 13440 13454 13888 14000 14415 14880 15376 15500 16000 16275 16800 17360 18600 19220 19840 20181 20832 21000 21700 22400 23064 23250 24000 24025 24800 26040 26908 27125 27776 28000 28830 29760 30752 31000 32550 33600 33635 34720 37200 38440 40362 41664 42000 43400 46128 46500 48000 48050 49600 52080 53816 54250 56000 57660 59520 61504 62000 65100 67200 67270 69440 72075 74400 76880 80724 81375 83328 84000 86800 92256 93000 96100 99200 100905 104160 107632 108500 112000 115320 120125 123008 124000 130200 134540 138880 144150 148800 153760 161448 162750 168000 168175 173600 184512 186000 192200 201810 208320 215264 217000 230640 240250 248000 260400 269080 288300 297600 307520 322896 325500 336000 336350 347200 360375 369024 372000 384400 403620 416640 430528 434000 461280 480500 496000 504525 520800 538160 576600 615040 645792 651000 672700 694400 720750 744000 768800 807240 840875 861056 868000 922560 961000 1009050 1041600 1076320 1153200 1291584 1302000 1345400 1441500 1488000 1537600 1614480 1681750 1736000 1845120 1922000 2018100 2083200 2152640 2306400 2522625 2583168 2604000 2690800 2883000 3075200 3228960 3363500 3472000 3844000 4036200 4305280 4612800 5045250 5208000 5381600 5766000 6457920 6727000 7688000 8072400 9225600 10090500 10416000 10763200 11532000 12915840 13454000 15376000 16144800 20181000 21526400 23064000 26908000 32289600 40362000 46128000 53816000 64579200 80724000 107632000 161448000 322896000 132184928131 264369856262 396554784393 528739712524 660924640655 793109568786 925294496917 1057479425048 1321849281310 1586219137572 1850588993834 1982773921965 2114958850096 2643698562620 2775883490751 3172438275144 3304623203275 3701177987668 3965547843930 4097732772061 4229917700192 4626472484585 5287397125240 5551766981502 6344876550288 6609246406550 7402355975336 7931095687860 8195465544122 8459835400384 9252944969170 9913869609825 10574794250480 11103533963004 12293198316183 12689753100576 13218492813100 13879417453755 14804711950672 15862191375720 16390931088244 16523116016375 16919670800768 18505889938340 19827739219650 20488663860305 21149588500960 22207067926008 23132362422925 24586396632366 25379506201152 26436985626200 27758834907510 28684129404427 29609423901344 31724382751440 32781862176488 33046232032750 37011779876680 39655478439300 40977327720610 42299177001920 44414135852016 46264724845850 49172793264732 49569348049125 50759012402304 52873971252400 55517669815020 57368258808854 59218847802688 61465991580915 63448765502880 65563724352976 66092464065500 69397087268775 74023559753360 79310956878600 81954655441220 84598354003840 86052388213281 88828271704032 92529449691700 98345586529464 99138696098250 102443319301525 105747942504800 111035339630040 114736517617708 115661812114625 118437695605376 122931983161830 126897531005760 127029715933891 131127448705952 132184928131000 138794174537550 143420647022135 148047119506720 158621913757200 163909310882440 172104776426562 177656543408064 185058899383400 196691173058928 198277392196500 204886638603050 211495885009600 222070679260080 229473035235416 231323624229250 245863966323660 253795062011520 254059431867782 262254897411904 264369856262000 277588349075100 286841294044270 296094239013440 307329957904575 317243827514400 327818621764880 344209552853124 346985436343875 355313086816128 370117798766800 381089147801673 393382346117856 396554784393000 409773277206100 422991770019200 430261941066405 444141358520160 458946070470832 462647248458500 491727932647320 508118863735564 512216596507625 524509794823808 528739712524000 555176698150200 573682588088540 592188478026880 614659915809150 634487655028800 635148579669455 655637243529760 688419105706248 693970872687750 717103235110675 740235597533600 762178295603346 786764692235712 793109568786000 819546554412200 860523882132810 888282717040320 889208011537237 917892140941664 925294496917000 983455865294640 1016237727471128 1024433193015250 1057479425048000 1110353396300400 1147365176177080 1229319831618300 1268975310057600 1270297159338910 1311274487059520 1376838211412496 1387941745375500 1434206470221350 1480471195067200 1524356591206692 1536649789522875 1573529384471424 1586219137572000 1639093108824400 1721047764265620 1776565434080640 1778416023074474 1835784281883328 1850588993834000 1905445739008365 1966911730589280 2032475454942256 2048866386030500 2114958850096000 2151309705332025 2220706792600800 2294730352354160 2458639663236600 2540594318677820 2622548974119040 2667624034611711 2753676422824992 2775883490751000 2868412940442700 2960942390134400 3048713182413384 3073299579045750 3172438275144000 3175742898347275 3278186217648800 3442095528531240 3556832046148948 3585516175553375 3671568563766656 3701177987668000 3810891478016730 3933823461178560 4064950909884512 4097732772061000 4302619410664050 4441413585201600 4446040057686185 4589460704708320 4917279326473200 5081188637355640 5335248069223422 5507352845649984 5551766981502000 5736825880885400 6097426364826768 6146599158091500 6344876550288000 6351485796694550 6556372435297600 6884191057062480 7113664092297896 7171032351106750 7402355975336000 7621782956033460 7867646922357120 8129901819769024 8195465544122000 8605238821328100 8882827170403200 8892080115372370 9178921409416640 9527228695041825 9834558652946400 10162377274711280 10670496138446844 10756548526660125 11014705691299968 11103533963004000 11473651761770800 12194852729653536 12293198316183000 12702971593389100 13112744870595200 13338120173058555 13768382114124960 14227328184595792 14342064702213500 14804711950672000 15243565912066920 15878714491736375 16259803639538048 16390931088244000 17210477642656200 17784160230744740 18357842818833280 19054457390083650 19669117305892800 20324754549422560 21340992276893688 21513097053320250 22207067926008000 22230200288430925 22947303523541600 24389705459307072 24586396632366000 25405943186778200 26676240346117110 27536764228249920 28454656369191584 28684129404427000 30487131824133840 31757428983472750 32781862176488000 34420955285312400 35568320461489480 38108914780167300 39338234611785600 40649509098845120 42681984553787376 43026194106640500 44414135852016000 44460400576861850 45894607047083200 47636143475209125 48779410918614144 49172793264732000 50811886373556400 53352480692234220 55073528456499840 56909312738383168 57368258808854000 60974263648267680 63514857966945500 65563724352976000 66690600865292775 68841910570624800 71136640922978960 76217829560334600 81299018197690240 85363969107574752 86052388213281000 88920801153723700 91789214094166400 95272286950418250 98345586529464000 101623772747112800 106704961384468440 111151001442154625 113818625476766336 114736517617708000 121948527296535360 127029715933891000 133381201730585550 137683821141249600 142273281845957920 152435659120669200 170727938215149504 172104776426562000 177841602307447400 190544573900836500 196691173058928000 203247545494225600 213409922768936880 222302002884309250 229473035235416000 243897054593070720 254059431867782000 266762403461171100 275367642282499200 284546563691915840 304871318241338400 333453004326463875 341455876430299008 344209552853124000 355683204614894800 381089147801673000 406495090988451200 426819845537873760 444604005768618500 458946070470832000 508118863735564000 533524806922342200 569093127383831680 609742636482676800 666906008652927750 688419105706248000 711366409229789600 762178295603346000 853639691075747520 889208011537237000 1016237727471128000 1067049613844684400 1219485272965353600 1333812017305855500 1376838211412496000 1422732818459579200 1524356591206692000 1707279382151495040 1778416023074474000 2032475454942256000 2134099227689368800 2667624034611711000 2845465636919158400 3048713182413384000 3556832046148948000 4268198455378737600 5335248069223422000 6097426364826768000 7113664092297896000 8536396910757475200 10670496138446844000 14227328184595792000 21340992276893688000 42681984553787376000
- Sum of all divisors σ(n): 167088263232106344960
- Sum of proper divisors (its aliquot sum) s(n): 124406278678318968960
- 42681984553787376000 is an abundant number, because the sum of its proper divisors (124406278678318968960) is greater than itself. Its abundance is 81724294124531592960
Bases of 42681984553787376000
- Binary: 1001010000010101001101111011010000000101010011010011000001100000002
- Hexadecimal: 0x25054DED01534C180
- Base-36: 909ZWS6ROZ3PC
Squares and roots of 42681984553787376000
- 42681984553787376000 squared (426819845537873760002) is 1821751805449744150348425816965376000000
- 42681984553787376000 cubed (426819845537873760003) is 77755982421040244692541418037707325893895857893376000000000
-
The
square root of 42681984553787376000 is 6533145073.6829176891 -
The
cube root of 42681984553787376000 is 3494739.9778796563
Scales and comparisons
How big is 42681984553787376000?- 42,681,984,553,787,376,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,681,984,553,787,376,000 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 42681984553787376000 cubic inches would be around 291228.3 feet tall.
Recreational maths with 42681984553787376000
- 42681984553787376000 backwards is 00067378735548918624
- 42681984553787376000 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 42681984553787376000's digits is 93
- More coming soon!
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The information we have on file for 42681984553787376000 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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