13974425119948800
13,974,425,119,948,800 is an even composite number composed of six prime numbers multiplied together.
13974425119948800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred forty-eight divisors.
Prime factorization of 13974425119948800:
216 × 3 × 52 × 132 × 533 × 113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 13 × 13 × 53 × 53 × 53 × 113)See below for interesting mathematical facts about the number 13974425119948800 from the Numbermatics database.
Names of 13974425119948800
- Cardinal: 13974425119948800 can be written as Thirteen quadrillion, nine hundred seventy-four trillion, four hundred twenty-five billion, one hundred nineteen million, nine hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.39744251199488 × 1016
Factors of 13974425119948800
Divisors of 13974425119948800
- Number of divisors d(n): 2448
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 53 60 64 65 75 78 80 96 100 104 106 113 120 128 130 150 156 159 160 169 192 195 200 208 212 226 240 256 260 265 300 312 318 320 325 338 339 384 390 400 416 424 452 480 507 512 520 530 565 600 624 636 640 650 676 678 689 768 780 795 800 832 845 848 904 960 975 1014 1024 1040 1060 1130 1200 1248 1272 1280 1300 1325 1352 1356 1378 1469 1536 1560 1590 1600 1664 1690 1695 1696 1808 1920 1950 2028 2048 2067 2080 2120 2260 2400 2496 2535 2544 2560 2600 2650 2704 2712 2756 2809 2825 2938 3072 3120 3180 3200 3328 3380 3390 3392 3445 3616 3840 3900 3975 4056 4096 4134 4160 4225 4240 4407 4520 4800 4992 5070 5088 5120 5200 5300 5408 5424 5512 5618 5650 5876 5989 6144 6240 6360 6400 6656 6760 6780 6784 6890 7232 7345 7680 7800 7950 8112 8192 8268 8320 8427 8450 8475 8480 8814 8957 9040 9600 9984 10140 10176 10240 10335 10400 10600 10816 10848 11024 11236 11300 11752 11978 12288 12480 12675 12720 12800 13312 13520 13560 13568 13780 14045 14464 14690 15360 15600 15900 16224 16384 16536 16640 16854 16900 16950 16960 17225 17628 17914 17967 18080 19097 19200 19968 20280 20352 20480 20670 20800 21200 21632 21696 22035 22048 22472 22600 23504 23956 24576 24960 25350 25440 25600 26624 26871 27040 27120 27136 27560 28090 28928 29380 29945 30720 31200 31800 32448 32768 33072 33280 33708 33800 33900 33920 34450 35256 35828 35934 36160 36517 36725 38194 38400 39936 40560 40704 40960 41340 41600 42135 42400 43264 43392 44070 44096 44785 44944 45200 47008 47912 49152 49920 50700 50880 51200 51675 53248 53742 54080 54240 54272 55120 56180 57291 57856 58760 59890 61440 62400 63600 64896 65536 66144 66560 67416 67600 67800 67840 68900 70225 70512 71656 71868 72320 73034 73450 76388 76800 77857 79872 81120 81408 81920 82680 83200 84270 84800 86528 86784 88140 88192 89570 89835 89888 90400 94016 95485 95824 98304 99840 101400 101760 102400 103350 106496 107484 108160 108480 108544 109551 110175 110240 112360 114582 115712 117520 119780 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780084019200 792740249600 811287379968 823963745280 824449859584 826889060352 829145907200 839809201920 845091020800 852931220700 861342771200 878894661632 895796482048 909793302080 951288299520 966152179200 994975088640 1014109224960 1029954681600 1030562324480 1033611325440 1049761502400 1091751962496 1098618327040 1102518747136 1119745602560 1137241627600 1166674329600 1189110374400 1236674789376 1243718860800 1267636531200 1288202905600 1292014156800 1318341992448 1343694723072 1352145633280 1364689953120 1373272908800 1378148433920 1399682003200 1455669283328 1545843486720 1560168038400 1585480499200 1647927490560 1648899719168 1653778120704 1658291814400 1679618403840 1690182041600 1705862441400 1722685542400 1757789323264 1791592964096 1819586604160 1902576599040 1932304358400 2028218449920 2059909363200 2061124648960 2067222650880 2099523004800 2183503924992 2197236654080 2239491205120 2274483255200 2333348659200 2378220748800 2473349578752 2487437721600 2535273062400 2576405811200 2584028313600 2636683984896 2687389446144 2729379906240 2746545817600 2756296867840 2799364006400 2911338566656 3091686973440 3170960998400 3295854981120 3307556241408 3359236807680 3380364083200 3411724882800 3445371084800 3515578646528 3583185928192 3639173208320 3864608716800 4056436899840 4119818726400 4122249297920 4134445301760 4199046009600 4367007849984 4394473308160 4478982410240 4548966510400 4756441497600 4946699157504 4974875443200 5070546124800 5152811622400 5168056627200 5273367969792 5374778892288 5458759812480 5493091635200 5512593735680 5598728012800 5822677133312 6183373946880 6591709962240 6718473615360 6760728166400 6823449765600 6890742169600 7166371856384 7278346416640 7729217433600 8239637452800 8244498595840 8268890603520 8398092019200 8734015699968 8788946616320 8957964820480 9097933020800 9512882995200 10141092249600 10305623244800 10336113254400 10546735939584 10749557784576 10917519624960 10986183270400 11197456025600 11645354266624 12366747893760 13183419924480 13436947230720 13646899531200 13781484339200 14332743712768 14556692833280 15458434867200 16479274905600 16537781207040 16796184038400 17468031399936 17577893232640 17915929640960 18195866041600 20282184499200 20611246489600 20672226508800 21499115569152 21835039249920 21972366540800 22394912051200 23290708533248 24733495787520 26366839848960 26873894461440 27293799062400 27562968678400 29113385666560 30916869734400 32958549811200 33592368076800 34936062799872 35831859281920 36391732083200 41222492979200 41344453017600 42998231138304 43670078499840 43944733081600 44789824102400 46581417066496 52733679697920 53747788922880 54587598124800 58226771333120 61833739468800 65917099622400 67184736153600 69872125599744 71663718563840 72783464166400 82688906035200 87340156999680 87889466163200 89579648204800 93162834132992 107495577845760 109175196249600 116453542666240 123667478937600 131834199244800 134369472307200 139744251199488 145566928332800 174680313999360 179159296409600 186325668265984 214991155691520 218350392499200 232907085332480 263668398489600 268738944614400 279488502398976 291133856665600 349360627998720 358318592819200 436700784998400 465814170664960 537477889228800 558977004797952 582267713331200 698721255997440 873401569996800 931628341329920 1074955778457600 1164535426662400 1397442511994880 1746803139993600 2329070853324800 2794885023989760 3493606279987200 4658141706649600 6987212559974400 13974425119948800
- Sum of all divisors σ(n): 51449874392063520
- Sum of proper divisors (its aliquot sum) s(n): 37475449272114720
- 13974425119948800 is an abundant number, because the sum of its proper divisors (37475449272114720) is greater than itself. Its abundance is 23501024152165920
Bases of 13974425119948800
- Binary: 1100011010010110101010011001010011011100000000000000002
- Hexadecimal: 0x31A5AA65370000
- Base-36: 3TLIQ9VGB9C
Squares and roots of 13974425119948800
- 13974425119948800 squared (139744251199488002) is 195284557433056033267714621440000
- 13974425119948800 cubed (139744251199488003) is 2728989424930582380323334421939119584182272000000
-
The
square root of 13974425119948800 is 118213472.6668191571 -
The
cube root of 13974425119948800 is 240867.3772006571
Scales and comparisons
How big is 13974425119948800?- 13,974,425,119,948,800 seconds is equal to 444,343,493 years, 4 weeks, 21 hours, 20 minutes.
-
To count from 1 to 13,974,425,119,948,800 would take you about one billion, three hundred thirty-three million, thirty thousand, four hundred seventy-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 13974425119948800 cubic inches would be around 20072.3 feet tall.
Recreational maths with 13974425119948800
- 13974425119948800 backwards is 00884991152447931
- 13974425119948800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13974425119948800's digits is 75
- More coming soon!
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"Number 13974425119948800 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13974425119948800 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13974425119948800/
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The information we have on file for 13974425119948800 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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