42166166112000
42,166,166,112,000 is an even composite number composed of seven prime numbers multiplied together.
42166166112000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 42166166112000:
28 × 34 × 53 × 7 × 29 × 127 × 631
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 29 × 127 × 631)See below for interesting mathematical facts about the number 42166166112000 from the Numbermatics database.
Names of 42166166112000
- Cardinal: 42166166112000 can be written as Forty-two trillion, one hundred sixty-six billion, one hundred sixty-six million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 4.2166166112 × 1013
Factors of 42166166112000
Divisors of 42166166112000
- Number of divisors d(n): 2880
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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 29 30 32 35 36 40 42 45 48 50 54 56 58 60 63 64 70 72 75 80 81 84 87 90 96 100 105 108 112 116 120 125 126 127 128 135 140 144 145 150 160 162 168 174 175 180 189 192 200 203 210 216 224 225 232 240 250 252 254 256 261 270 280 288 290 300 315 320 324 336 348 350 360 375 378 381 384 400 405 406 420 432 435 448 450 464 480 500 504 508 522 525 540 560 567 576 580 600 609 630 631 635 640 648 672 675 696 700 720 725 750 756 762 768 783 800 810 812 840 864 870 875 889 896 900 928 945 960 1000 1008 1015 1016 1044 1050 1080 1120 1125 1134 1143 1152 1160 1200 1218 1260 1262 1270 1280 1296 1305 1344 1350 1392 1400 1440 1450 1500 1512 1524 1566 1575 1600 1620 1624 1680 1728 1740 1750 1778 1792 1800 1827 1856 1890 1893 1905 1920 2000 2016 2025 2030 2032 2088 2100 2160 2175 2240 2250 2268 2286 2304 2320 2349 2400 2436 2520 2524 2540 2592 2610 2625 2667 2688 2700 2784 2800 2835 2880 2900 3000 3024 3045 3048 3132 3150 3155 3175 3200 3240 3248 3360 3375 3429 3456 3480 3500 3556 3600 3625 3654 3683 3712 3780 3786 3810 3840 3915 4000 4032 4050 4060 4064 4176 4200 4320 4350 4417 4445 4480 4500 4536 4572 4640 4698 4725 4800 4872 5040 5048 5075 5080 5184 5220 5250 5334 5376 5400 5481 5568 5600 5670 5679 5715 5760 5800 6000 6048 6090 6096 6264 6300 6310 6350 6400 6480 6496 6525 6720 6750 6858 6912 6960 7000 7112 7200 7250 7308 7366 7424 7560 7572 7620 7830 7875 8000 8001 8064 8100 8120 8128 8352 8400 8640 8700 8834 8890 8960 9000 9072 9135 9144 9280 9396 9450 9465 9525 9600 9744 10080 10096 10125 10150 10160 10287 10368 10440 10500 10668 10800 10875 10962 11049 11136 11200 11340 11358 11430 11520 11600 11745 12000 12096 12180 12192 12528 12600 12620 12700 12960 12992 13050 13251 13335 13440 13500 13716 13920 14000 14175 14224 14400 14500 14616 14732 15120 15144 15225 15240 15660 15750 15775 15875 16000 16002 16128 16200 16240 16256 16443 16704 16800 17037 17145 17280 17400 17668 17780 18000 18144 18270 18288 18299 18415 18560 18792 18900 18930 19050 19200 19488 19575 20160 20192 20250 20300 20320 20574 20736 20880 21000 21336 21600 21750 21924 22085 22098 22225 22272 22400 22680 22716 22860 23200 23490 23625 24000 24003 24192 24360 24384 25056 25200 25240 25375 25400 25781 25920 25984 26100 26502 26670 26880 27000 27405 27432 27840 28000 28350 28395 28448 28575 28800 29000 29232 29464 30240 30288 30450 30480 31320 31500 31550 31750 32000 32004 32400 32480 32512 32625 32886 33147 33408 33600 34074 34290 34560 34800 35336 35560 36000 36288 36540 36576 36598 36830 37120 37584 37800 37860 38100 38976 39150 39753 40005 40320 40384 40500 40600 40640 41148 41760 42000 42672 43200 43500 43848 44170 44196 44450 44800 45360 45432 45675 45720 46400 46980 47250 47325 47625 48000 48006 48384 48720 48768 50112 50400 50480 50750 50800 51111 51435 51562 51840 51968 52200 53004 53340 54000 54810 54864 54897 55245 55680 56000 56700 56790 56896 57150 57600 58000 58464 58725 58928 60480 60576 60900 60960 62640 63000 63100 63500 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13280682240 13364870400 13386084480 13463016000 13834044000 13847673600 13943838000 14055388704 14540057280 14641029900 14873427200 15059345040 15145893000 15617098560 15686817750 15810336000 16063301376 16155619200 16267811000 16600852800 16706088000 16732605600 17309592000 17569235880 17950688000 18175071600 18301287375 18445392000 18591784000 18740518272 18824181300 19386743040 19521373200 20079126720 20194524000 20751066000 20771510400 20822798080 20915757000 21083083056 21961544850 22134470400 22274784000 22310140800 22718839500 23079456000 23425647840 23530226625 23715504000 24094952064 24233428800 24401716500 25098908400 25964388000 26028497600 26353853820 26772168960 26926032000 27668088000 27887676000 28110777408 29080114560 29282059800 30118690080 30291786000 31234197120 31373635500 32311238400 32535622000 32942317275 33201705600 33412176000 33465211200 34619184000 35138471760 36350143200 36602574750 36890784000 37183568000 37481036544 37648362600 39042746400 40158253440 40389048000 41502132000 41543020800 41831514000 42166166112 43923089700 44620281600 45437679000 46851295680 47060453250 47431008000 48189904128 48466857600 48803433000 50197816800 51928776000 52056995200 52707707640 53852064000 54903862125 55336176000 55775352000 56221554816 58160229120 58564119600 60237380160 60583572000 62468394240 62747271000 65071244000 65884634550 66403411200 66824352000 66930422400 69238368000 70276943520 72700286400 73205149500 74367136000 75296725200 78085492800 80316506880 80778096000 83004264000 83663028000 84332332224 87846179400 90875358000 93702591360 94120906500 96933715200 97606866000 100395633600 103857552000 104113990400 105415415280 109807724250 110672352000 111550704000 112443109632 117128239200 120474760320 121167144000 125494542000 130142488000 131769269100 133860844800 140553887040 145400572800 146410299000 150593450400 156170985600 161556192000 164711586375 166008528000 167326056000 168664664448 175692358800 181750716000 187405182720 188241813000 195213732000 200791267200 207715104000 210830830560 219615448500 223101408000 234256478400 240949520640 242334288000 250989084000 260284976000 263538538200 281107774080 290801145600 292820598000 301186900800 312341971200 329423172750 332017056000 334652112000 337329328896 351384717600 363501432000 376483626000 390427464000 401582534400 421661661120 439230897000 468512956800 484668576000 501978168000 520569952000 527077076400 562215548160 585641196000 602373801600 658846345500 669304224000 702769435200 727002864000 752967252000 780854928000 843323322240 878461794000 937025913600 1003956336000 1054154152800 1171282392000 1204747603200 1317692691000 1405538870400 1454005728000 1505934504000 1561709856000 1686646644480 1756923588000 2007912672000 2108308305600 2342564784000 2635385382000 2811077740800 3011869008000 3513847176000 4216616611200 4685129568000 5270770764000 6023738016000 7027694352000 8433233222400 10541541528000 14055388704000 21083083056000 42166166112000
- Sum of all divisors σ(n): 187270408765440
- Sum of proper divisors (its aliquot sum) s(n): 145104242653440
- 42166166112000 is an abundant number, because the sum of its proper divisors (145104242653440) is greater than itself. Its abundance is 102938076541440
Bases of 42166166112000
- Binary: 10011001011001100100110101101001000111000000002
- Hexadecimal: 0x2659935A4700
- Base-36: EY2VALS00
Squares and roots of 42166166112000
- 42166166112000 squared (421661661120002) is 1777985564584777196544000000
- 42166166112000 cubed (421661661120003) is 74970834661019819575983976316928000000000
-
The
square root of 42166166112000 is 6493548.0372443539 -
The
cube root of 42166166112000 is 34806.0472249699
Scales and comparisons
How big is 42166166112000?- 42,166,166,112,000 seconds is equal to 1,340,753 years, 34 weeks.
-
To count from 1 to 42,166,166,112,000 would take you about three million, three hundred fifty-one thousand, eight hundred eighty-four 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 42166166112000 cubic inches would be around 2900.5 feet tall.
Recreational maths with 42166166112000
- 42166166112000 backwards is 00021166166124
- 42166166112000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42166166112000's digits is 36
- More coming soon!
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Cite this page
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"Number 42166166112000 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 42166166112000 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/42166166112000/
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The information we have on file for 42166166112000 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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