42140267438976000
42,140,267,438,976,000 is an even composite number composed of six prime numbers multiplied together.
42140267438976000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 42140267438976000:
210 × 35 × 53 × 7 × 751 × 257717
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 751 × 257717)See below for interesting mathematical facts about the number 42140267438976000 from the Numbermatics database.
Names of 42140267438976000
- Cardinal: 42140267438976000 can be written as Forty-two quadrillion, one hundred forty trillion, two hundred sixty-seven billion, four hundred thirty-eight million, nine hundred seventy-six thousand.
Scientific notation
- Scientific notation: 4.2140267438976 × 1016
Factors of 42140267438976000
Divisors of 42140267438976000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 125 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 250 252 256 270 280 288 300 315 320 324 336 350 360 375 378 384 400 405 420 432 448 450 480 486 500 504 512 525 540 560 567 576 600 630 640 648 672 675 700 720 750 751 756 768 800 810 840 864 875 896 900 945 960 972 1000 1008 1024 1050 1080 1120 1125 1134 1152 1200 1215 1260 1280 1296 1344 1350 1400 1440 1500 1502 1512 1536 1575 1600 1620 1680 1701 1728 1750 1792 1800 1890 1920 1944 2000 2016 2025 2100 2160 2240 2250 2253 2268 2304 2400 2430 2520 2560 2592 2625 2688 2700 2800 2835 2880 3000 3004 3024 3072 3150 3200 3240 3360 3375 3402 3456 3500 3584 3600 3755 3780 3840 3888 4000 4032 4050 4200 4320 4480 4500 4506 4536 4608 4725 4800 4860 5040 5120 5184 5250 5257 5376 5400 5600 5670 5760 6000 6008 6048 6075 6300 6400 6480 6720 6750 6759 6804 6912 7000 7168 7200 7510 7560 7680 7776 7875 8000 8064 8100 8400 8505 8640 8960 9000 9012 9072 9216 9450 9600 9720 10080 10125 10368 10500 10514 10752 10800 11200 11265 11340 11520 12000 12016 12096 12150 12600 12800 12960 13440 13500 13518 13608 13824 14000 14175 14400 15020 15120 15360 15552 15750 15771 16000 16128 16200 16800 17010 17280 17920 18000 18024 18144 18775 18900 19200 19440 20160 20250 20277 20736 21000 21028 21504 21600 22400 22530 22680 23040 23625 24000 24032 24192 24300 25200 25600 25920 26285 26880 27000 27036 27216 27648 28000 28350 28800 30040 30240 30375 31104 31500 31542 32000 32256 32400 33600 33795 34020 34560 35840 36000 36048 36288 37550 37800 38400 38880 40320 40500 40554 41472 42000 42056 42525 43200 44800 45060 45360 46080 47250 47313 48000 48064 48384 48600 50400 51840 52570 53760 54000 54072 54432 56000 56325 56700 57600 60080 60480 60750 60831 62208 63000 63084 64000 64512 64800 67200 67590 68040 69120 70875 72000 72096 72576 75100 75600 76800 77760 78855 80640 81000 81108 82944 84000 84112 85050 86400 89600 90120 90720 93875 94500 94626 96000 96128 96768 97200 100800 101385 103680 105140 107520 108000 108144 108864 112000 112650 113400 115200 120160 120960 121500 121662 124416 126000 126168 128000 129600 131425 134400 135180 136080 138240 141750 141939 144000 144192 145152 150200 151200 155520 157710 161280 162000 162216 168000 168224 168975 170100 172800 179200 180240 181440 182493 187750 189000 189252 192000 192256 193536 194400 201600 202770 207360 210280 212625 216000 216288 217728 224000 225300 226800 230400 236565 240320 241920 243000 243324 248832 252000 252336 257717 259200 262850 268800 270360 272160 281625 283500 283878 288000 288384 290304 300400 302400 304155 311040 315420 322560 324000 324432 336000 336448 337950 340200 345600 360480 362880 364986 375500 378000 378504 384000 384512 388800 394275 403200 405540 414720 420560 425250 425817 432000 432576 435456 448000 450600 453600 473130 480640 483840 486000 486648 504000 504672 506925 515434 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14864291865600 15050095513920 15607506458880 15677182827000 16053435214848 16257819228000 16461041968350 16722328348800 17341673843200 17558444766240 18290046631500 18580364832000 18704068992000 18729007750656 18812619392400 19509383073600 20066794018560 20810008611840 20902910436000 21070133719488 21677092304000 21948055957800 22296437798400 23411259688320 23515774240500 24080152822272 24386728842000 24773819776000 25083492523200 26012510764800 26337667149360 26755725358080 27435069947250 27870547248000 28056103488000 28093511625984 29264074610400 30100191027840 31215012917760 31354365654000 32515638456000 32922083936700 33444656697600 34683347686400 35116889532480 36580093263000 37160729664000 37458015501312 37625238784800 39018766147200 40133588037120 41152604920875 41805820872000 42140267438976 43354184608000 43896111915600 44592875596800 46822519376640 47031548481000 48160305644544 48773457684000 50166985046400 52025021529600 52675334298720 54870139894500 55741094496000 56112206976000 56187023251968 58528149220800 60200382055680 62430025835520 62708731308000 65031276912000 65844167873400 66889313395200 70233779064960 73160186526000 74321459328000 75250477569600 78037532294400 80267176074240 82305209841750 83611641744000 84280534877952 86708369216000 87792223831200 93645038753280 94063096962000 97546915368000 100333970092800 104050043059200 105350668597440 109740279789000 111482188992000 112374046503936 117056298441600 120400764111360 125417462616000 130062553824000 131688335746800 133778626790400 140467558129920 146320373052000 150500955139200 156075064588800 164610419683500 167223283488000 168561069755904 173416738432000 175584447662400 187290077506560 188126193924000 195093830736000 200667940185600 210701337194880 219480559578000 222964377984000 234112596883200 240801528222720 250834925232000 260125107648000 263376671493600 280935116259840 292640746104000 301001910278400 312150129177600 329220839367000 334446566976000 337122139511808 351168895324800 376252387848000 390187661472000 401335880371200 421402674389760 438961119156000 468225193766400 501669850464000 520250215296000 526753342987200 561870232519680 585281492208000 602003820556800 658441678734000 668893133952000 702337790649600 752504775696000 780375322944000 842805348779520 877922238312000 936450387532800 1003339700928000 1053506685974400 1170562984416000 1204007641113600 1316883357468000 1404675581299200 1505009551392000 1560750645888000 1685610697559040 1755844476624000 2006679401856000 2107013371948800 2341125968832000 2633766714936000 2809351162598400 3010019102784000 3511688953248000 4214026743897600 4682251937664000 5267533429872000 6020038205568000 7023377906496000 8428053487795200 10535066859744000 14046755812992000 21070133719488000 42140267438976000
- Sum of all divisors σ(n): 180217269205069824
- Sum of proper divisors (its aliquot sum) s(n): 138077001766093824
- 42140267438976000 is an abundant number, because the sum of its proper divisors (138077001766093824) is greater than itself. Its abundance is 95936734327117824
Bases of 42140267438976000
- Binary: 100101011011011001011001100101110111000010101100000000002
- Hexadecimal: 0x95B6599770AC00
- Base-36: BIXH7LVPC00
Squares and roots of 42140267438976000
- 42140267438976000 squared (421402674389760002) is 1775802139828420885883928576000000
- 42140267438976000 cubed (421402674389760003) is 74832777091075510452846168003353222578176000000000
-
The
square root of 42140267438976000 is 205280947.5791068147 -
The
cube root of 42140267438976000 is 347989.1974863159
Scales and comparisons
How big is 42140267438976000?- 42,140,267,438,976,000 seconds is equal to 1,339,930,156 years, 8 weeks.
-
To count from 1 to 42,140,267,438,976,000 would take you about four billion, nineteen million, seven hundred ninety thousand, four hundred sixty-eight 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 42140267438976000 cubic inches would be around 28999.1 feet tall.
Recreational maths with 42140267438976000
- 42140267438976000 backwards is 00067983476204124
- 42140267438976000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42140267438976000's digits is 63
- More coming soon!
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Numbermatics. (2024). Number 42140267438976000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/42140267438976000/
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The information we have on file for 42140267438976000 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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