42131792977584100
42,131,792,977,584,100 is an even composite number composed of ten prime numbers multiplied together.
What does the number 42131792977584100 look like?
This visualization shows the relationship between its 10 prime factors (large circles) and 2304 divisors.
42131792977584100 is an even composite number. It is composed of ten distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42131792977584100:
22 × 52 × 7 × 17 × 19 × 29 × 31 × 127 × 877 × 1861
(2 × 2 × 5 × 5 × 7 × 17 × 19 × 29 × 31 × 127 × 877 × 1861)See below for interesting mathematical facts about the number 42131792977584100 from the Numbermatics database.
Names of 42131792977584100
- Cardinal: 42131792977584100 can be written as Forty-two quadrillion, one hundred thirty-one trillion, seven hundred ninety-two billion, nine hundred seventy-seven million, five hundred eighty-four thousand, one hundred.
Scientific notation
- Scientific notation: 4.21317929775841 × 1016
Factors of 42131792977584100
Divisors of 42131792977584100
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 4 5 7 10 14 17 19 20 25 28 29 31 34 35 38 50 58 62 68 70 76 85 95 100 116 119 124 127 133 140 145 155 170 175 190 203 217 238 254 266 290 310 323 340 350 380 406 425 434 475 476 493 508 527 532 551 580 589 595 620 635 646 665 700 725 775 812 850 868 877 889 899 950 986 1015 1054 1085 1102 1178 1190 1270 1292 1330 1450 1550 1615 1700 1754 1778 1798 1861 1900 1972 2030 2108 2159 2170 2204 2261 2356 2380 2413 2465 2540 2635 2660 2755 2900 2945 2975 3100 3175 3230 3325 3451 3508 3556 3596 3683 3689 3722 3857 3937 4060 4123 4318 4340 4385 4445 4495 4522 4826 4930 5075 5270 5425 5510 5890 5950 6139 6293 6350 6460 6650 6902 7366 7378 7444 7714 7874 8075 8246 8636 8770 8890 8990 9044 9305 9367 9652 9860 10013 10150 10540 10795 10850 11020 11305 11780 11900 12065 12278 12325 12586 12700 13027 13175 13300 13775 13804 14725 14732 14756 14909 15113 15283 15428 15748 16150 16492 16663 16891 17081 17255 17540 17780 17980 18415 18445 18610 18734 19285 19685 20026 20300 20615 21590 21700 21925 22225 22475 22610 24130 24556 24650 25172 25433 25781 26054 26350 27187 27550 27559 29450 29818 30226 30566 30695 31465 31637 32300 33326 33782 34162 34510 35359 36830 36890 37220 37468 38570 39370 40052 41021 41230 43180 43850 44450 44950 45220 46525 46835 48260 49300 50065 50866 51562 52108 52700 53969 53975 54374 55100 55118 56525 57691 58900 59636 60325 60452 61132 61390 62611 62930 63274 65135 65569 66652 66929 67564 68324 69020 69977 70091 70718 73660 73780 74545 74803 75565 76415 77140 78740 82042 82460 83315 84455 85405 86275 87700 88900 89900 92075 92225 93050 93670 96425 98425 100130 101732 103075 103124 104363 106981 107938 107950 108748 110236 111379 113050 114173 115382 116641 119567 120650 122780 125222 125860 126548 127165 128905 130270 131138 133858 135935 137795 139954 140182 141436 149090 149606 151130 152830 153475 157325 158185 164084 166630 168910 170810 172550 176795 178031 184150 184450 186100 187340 190309 192850 196850 200260 205105 206150 208726 213962 215876 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3347512551850 3418401052948 3431486640950 3492067383140 3540486804839 3576552884345 3726828215620 3823211703955 3883114560146 3902898839980 3997323811915 4150915564294 4207709275700 4273001316185 4365084228925 4497896122300 4527865983620 4658535269525 4686517572590 4739234305690 4804081297330 4878623549975 5109361263350 5217559501868 5350748409650 5461731005650 5659832479525 5710462588450 5719765541350 6104287594550 6335607966554 6521949377335 6634928027966 6695025103700 6862973281900 7080973609678 7153105768690 7646423407910 7766229120292 7994647623830 8301831128588 8546002632370 8730168457850 9317070539050 9373035145180 9478468611380 9608162594660 9707786400365 9757247099950 10218722526700 10377288910735 10701496819300 10923462011300 11319664959050 11420925176900 11439531082700 11716293931475 11848085764225 12010203243325 12208575189100 12671215933108 13043898754670 13269856055932 13590900960511 14161947219356 14306211537380 14528204475029 15292846815820 15839019916385 15989295247660 16587320069915 17092005264740 17460336915700 17702434024195 17882764421725 18634141078100 19116058519775 19415572800730 19514494199900 19986619059575 20754577821470 21365006580925 22174627882939 22639329918100 23432587862950 23696171528450 24020406486650 24783407633873 26087797509340 27181801921022 29056408950058 31678039832770 32609746886675 33174640139830 35404868048390 35765528843450 38232117039550 38831145601460 39973238119150 41509155642940 42730013161850 44349255765878 46865175725900 47392343056900 48040812973300 48538932001825 49566815267746 51886444553675 54363603842044 58112817900116 60188275682263 63356079665540 65219493773350 66349280279660 67954504802555 70809736096780 71531057686900 72641022375145 76464234079100 79195099581925 79946476238300 82936600349575 85460026323700 88512170120975 88698511531756 97077864003650 99133630535492 103772889107350 110873139414695 120376551364526 123917038169365 130438987546700 135909009605110 145282044750290 158390199163850 165873200699150 177024340241950 194155728007300 207545778214700 221746278829390 240753102729052 247834076338730 271818019210220 290564089500580 300941378411315 316780398327700 331746401398300 339772524012775 354048680483900 363205111875725 421317929775841 443492557658780 495668152677460 554365697073475 601882756822630 619585190846825 679545048025550 726410223751450 842635859551682 1108731394146950 1203765513645260 1239170381693650 1359090096051100 1452820447502900 1504706892056575 1685271719103364 2106589648879205 2217462788293900 2478340763387300 3009413784113150 4213179297758410 6018827568226300 8426358595516820 10532948244396025 21065896488792050 42131792977584100
- Sum of all divisors σ(n): 125547369254092800
- Sum of proper divisors (its aliquot sum) s(n): 83415576276508700
- 42131792977584100 is an abundant number, because the sum of its proper divisors (83415576276508700) is greater than itself. Its abundance is 41283783298924600
Bases of 42131792977584100
- Binary: 100101011010111010100100011110100010110111011111111001002
- Hexadecimal: 0x95AEA47A2DDFE4
- Base-36: BIUH2HS70TG
Squares and roots of 42131792977584100
- 42131792977584100 squared (421317929775841002) is 1775087979506004883085072572810000
- 42131792977584100 cubed (421317929775841003) is 74787639269545045351320824168861670045148321000000
-
The
square root of 42131792977584100 is 205260305.4114070541 -
The
cube root of 42131792977584100 is 347965.8688990035
Scales and comparisons
How big is 42131792977584100?- 42,131,792,977,584,100 seconds is equal to 1,339,660,694 years, 25 weeks, 5 days, 2 hours, 41 minutes, 40 seconds.
-
To count from 1 to 42,131,792,977,584,100 would take you about four billion, eighteen million, nine hundred eighty-two thousand and eighty-three 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 42131792977584100 cubic inches would be around 28997.2 feet tall.
Recreational maths with 42131792977584100
- 42131792977584100 backwards is 00148577929713124
- 42131792977584100 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 42131792977584100's digits is 70
- More coming soon!
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Cite this page
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"Number 42131792977584100 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 42131792977584100 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/42131792977584100/
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The information we have on file for 42131792977584100 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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