642144200256000
642,144,200,256,000 is an even composite number composed of six prime numbers multiplied together.
642144200256000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 642144200256000:
29 × 34 × 53 × 132 × 421 × 1741
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 13 × 13 × 421 × 1741)See below for interesting mathematical facts about the number 642144200256000 from the Numbermatics database.
Names of 642144200256000
- Cardinal: 642144200256000 can be written as Six hundred forty-two trillion, one hundred forty-four billion, two hundred million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 6.42144200256 × 1014
Factors of 642144200256000
Divisors of 642144200256000
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 30 32 36 39 40 45 48 50 52 54 60 64 65 72 75 78 80 81 90 96 100 104 108 117 120 125 128 130 135 144 150 156 160 162 169 180 192 195 200 208 216 225 234 240 250 256 260 270 288 300 312 320 324 325 338 351 360 375 384 390 400 405 416 421 432 450 468 480 500 507 512 520 540 576 585 600 624 640 648 650 675 676 702 720 750 768 780 800 810 832 842 845 864 900 936 960 975 1000 1014 1040 1053 1080 1125 1152 1170 1200 1248 1263 1280 1296 1300 1350 1352 1404 1440 1500 1521 1536 1560 1600 1620 1625 1664 1684 1690 1728 1741 1755 1800 1872 1920 1950 2000 2025 2028 2080 2105 2106 2160 2250 2304 2340 2400 2496 2526 2535 2560 2592 2600 2700 2704 2808 2880 2925 3000 3042 3120 3200 3240 3250 3328 3368 3375 3380 3456 3482 3510 3600 3744 3789 3840 3900 4000 4050 4056 4160 4210 4212 4225 4320 4500 4563 4608 4680 4800 4875 4992 5052 5070 5184 5200 5223 5265 5400 5408 5473 5616 5760 5850 6000 6084 6240 6315 6400 6480 6500 6656 6736 6750 6760 6912 6964 7020 7200 7488 7578 7605 7680 7800 8000 8100 8112 8320 8420 8424 8450 8640 8705 8775 9000 9126 9360 9600 9750 9984 10104 10125 10140 10368 10400 10446 10525 10530 10800 10816 10946 11232 11367 11520 11700 12000 12168 12480 12630 12675 12800 12960 13000 13472 13500 13520 13689 13824 13928 14040 14400 14625 14976 15156 15210 15600 15669 16000 16200 16224 16419 16640 16840 16848 16900 17280 17410 17550 18000 18252 18720 18945 19200 19500 19968 20208 20250 20280 20736 20800 20892 21050 21060 21125 21600 21632 21892 22464 22633 22734 22815 23040 23400 24000 24336 24960 25260 25350 25920 26000 26115 26325 26944 27000 27040 27365 27378 27856 28080 28800 29250 29952 30312 30420 31200 31338 31575 32000 32400 32448 32838 33280 33680 33696 33800 34101 34560 34820 35100 36000 36504 37440 37890 38025 38400 39000 40416 40500 40560 41472 41600 41784 42100 42120 42250 43200 43264 43525 43784 43875 44928 45266 45468 45630 46800 47007 48000 48672 49257 49920 50520 50700 51840 52000 52230 52625 52650 53888 54000 54080 54730 54756 55712 56160 56835 57600 58500 59904 60624 60840 62400 62676 63150 63375 64000 64800 64896 65676 67360 67392 67600 67899 68202 68445 69120 69640 70200 71149 72000 73008 74880 75780 76050 78000 78345 80832 81000 81120 82095 83200 83568 84200 84240 84500 86400 86528 87050 87568 87750 89856 90532 90936 91260 93600 94014 94725 96000 97344 98514 99840 101040 101400 103680 104000 104460 105250 105300 107776 108000 108160 109460 109512 111424 112320 113165 113670 114075 115200 117000 121248 121680 124800 125352 126300 126750 129600 129792 130575 131352 131625 134720 134784 135200 135798 136404 136825 136890 139280 140400 141021 142298 144000 146016 147771 149760 151560 152100 156000 156690 157875 161664 162000 162240 164190 166400 167136 168400 168480 169000 170505 172800 174100 175136 175500 179712 181064 181872 182520 187200 188028 189450 190125 192000 194688 197028 202080 202800 203697 207360 208000 208920 210500 210600 213447 215552 216000 216320 217625 218920 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211092768000 214048066752 219536478720 222966736200 228683832000 237479364000 237831185280 246978538560 247740818000 250837578225 253311321600 254213856000 257269311000 267560083440 274420598400 278708420250 285397422336 297288981600 304911776000 305056627200 308723173200 316639152000 317108247040 321072100128 329304718080 334450104300 343025748000 356746777920 365894131200 368836416000 371611227000 379966982400 381320784000 385903966500 395165661696 396385308800 401340125160 411630897600 418062630375 422185536000 428096133504 445933472400 457367664000 474958728000 475662370560 493957077120 495481636000 501675156450 508427712000 514538622000 535120166880 548841196800 557416840500 570794844672 594577963200 609823552000 617446346400 633278304000 642144200256 658609436160 668900208600 686051496000 713493555840 743222454000 759933964800 762641568000 771807933000 792770617600 802680250320 823261795200 836125260750 856192267008 891866944800 914735328000 949917456000 951324741120 987914154240 990963272000 1003350312900 1029077244000 1070240333760 1097682393600 1114833681000 1189155926400 1234892692800 1254187891125 1266556608000 1284288400512 1337800417200 1372102992000 1426987111680 1486444908000 1525283136000 1543615866000 1585541235200 1605360500640 1646523590400 1672250521500 1712384534016 1783733889600 1829470656000 1899834912000 1975828308480 1981926544000 2006700625800 2058154488000 2140480667520 2229667362000 2378311852800 2469785385600 2508375782250 2568576801024 2675600834400 2744205984000 2853974223360 2972889816000 3087231732000 3210721001280 3293047180800 3344501043000 3567467779200 3799669824000 3963853088000 4013401251600 4116308976000 4280961335040 4459334724000 4756623705600 4939570771200 5016751564500 5137153602048 5351201668800 5488411968000 5945779632000 6174463464000 6421442002560 6689002086000 7134935558400 7927706176000 8026802503200 8232617952000 8561922670080 8918669448000 9879141542400 10033503129000 10702403337600 11891559264000 12348926928000 12842884005120 13378004172000 14269871116800 16053605006400 16465235904000 17837338896000 20067006258000 21404806675200 23783118528000 24697853856000 25685768010240 26756008344000 32107210012800 35674677792000 40134012516000 42809613350400 49395707712000 53512016688000 64214420025600 71349355584000 80268025032000 107024033376000 128428840051200 160536050064000 214048066752000 321072100128000 642144200256000
- Sum of all divisors σ(n): 2597749642618416
- Sum of proper divisors (its aliquot sum) s(n): 1955605442362416
- 642144200256000 is an abundant number, because the sum of its proper divisors (1955605442362416) is greater than itself. Its abundance is 1313461242106416
Bases of 642144200256000
- Binary: 100100100000000110110110001111001101101010000000002
- Hexadecimal: 0x24806D8F36A00
- Base-36: 6BMCZ15S00
Squares and roots of 642144200256000
- 642144200256000 squared (6421442002560002) is 412349173922417830465536000000
- 642144200256000 cubed (6421442002560003) is 264787630514633248334166206890377216000000000
-
The
square root of 642144200256000 is 25340564.3239451161 -
The
cube root of 642144200256000 is 86273.5207268443
Scales and comparisons
How big is 642144200256000?- 642,144,200,256,000 seconds is equal to 20,418,199 years, 14 weeks, 6 days.
-
To count from 1 to 642,144,200,256,000 would take you about fifty-one million, forty-five thousand, four hundred ninety-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 642144200256000 cubic inches would be around 7189.5 feet tall.
Recreational maths with 642144200256000
- 642144200256000 backwards is 000652002441246
- 642144200256000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 642144200256000's digits is 36
- More coming soon!
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The information we have on file for 642144200256000 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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