13961791992096000
13,961,791,992,096,000 is an even composite number composed of eight prime numbers multiplied together.
13961791992096000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13961791992096000:
28 × 32 × 53 × 13 × 17 × 61 × 313 × 11489
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 13 × 17 × 61 × 313 × 11489)See below for interesting mathematical facts about the number 13961791992096000 from the Numbermatics database.
Names of 13961791992096000
- Cardinal: 13961791992096000 can be written as Thirteen quadrillion, nine hundred sixty-one trillion, seven hundred ninety-one billion, nine hundred ninety-two million, ninety-six thousand.
Scientific notation
- Scientific notation: 1.3961791992096 × 1016
Factors of 13961791992096000
Divisors of 13961791992096000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 25 26 30 32 34 36 39 40 45 48 50 51 52 60 61 64 65 68 72 75 78 80 85 90 96 100 102 104 117 120 122 125 128 130 136 144 150 153 156 160 170 180 183 192 195 200 204 208 221 225 234 240 244 250 255 256 260 272 288 300 305 306 312 313 320 325 340 360 366 375 384 390 400 408 416 425 442 450 468 480 488 500 510 520 544 549 576 585 600 610 612 624 626 640 650 663 680 720 732 750 765 768 780 793 800 816 832 850 884 900 915 936 939 960 975 976 1000 1020 1037 1040 1088 1098 1105 1125 1152 1170 1200 1220 1224 1248 1252 1275 1280 1300 1326 1360 1440 1464 1500 1525 1530 1560 1565 1586 1600 1625 1632 1664 1700 1768 1800 1830 1872 1878 1920 1950 1952 1989 2000 2040 2074 2080 2125 2176 2196 2210 2250 2304 2340 2379 2400 2440 2448 2496 2504 2550 2600 2652 2720 2745 2817 2880 2925 2928 3000 3050 3060 3111 3120 3130 3172 3200 3250 3264 3315 3328 3400 3536 3600 3660 3744 3756 3825 3840 3900 3904 3965 3978 4000 4069 4080 4148 4160 4250 4352 4392 4420 4500 4575 4680 4695 4758 4800 4875 4880 4896 4992 5008 5100 5185 5200 5304 5321 5440 5490 5525 5634 5760 5850 5856 6000 6100 6120 6222 6240 6260 6344 6375 6400 6500 6528 6630 6800 7072 7137 7200 7320 7488 7512 7625 7650 7800 7808 7825 7930 7956 8000 8138 8160 8296 8320 8500 8784 8840 9000 9150 9333 9360 9390 9516 9600 9750 9760 9792 9945 9984 10016 10200 10370 10400 10608 10642 10880 10980 11050 11268 11489 11520 11700 11712 11895 12000 12200 12207 12240 12444 12480 12520 12688 12750 13000 13056 13260 13481 13600 13725 14085 14144 14274 14400 14625 14640 14976 15024 15250 15300 15555 15600 15616 15650 15860 15912 15963 16000 16276 16320 16575 16592 16640 17000 17568 17680 18000 18300 18666 18720 18780 19032 19093 19125 19200 19500 19520 19584 19825 19890 20032 20345 20400 20740 20800 21216 21284 21760 21960 22100 22536 22875 22978 23400 23424 23475 23790 24000 24400 24414 24480 24888 24960 25040 25376 25500 25925 26000 26520 26605 26962 27200 27450 27625 28170 28288 28548 28800 29250 29280 29952 30048 30500 30600 31110 31200 31300 31720 31824 31926 32000 32552 32640 33150 33184 34000 34467 35136 35360 35685 36000 36600 36621 37332 37440 37560 38064 38186 38250 39000 39040 39125 39168 39650 39780 40064 40443 40690 40800 41480 41600 42432 42568 43920 44200 45072 45750 45956 46665 46800 46848 46950 47580 47889 48000 48800 48828 48960 49725 49776 49920 50080 50752 51000 51850 52000 53040 53210 53924 54400 54900 55250 56340 56576 57096 57279 57445 57600 58500 58560 59475 60096 61000 61035 61200 62220 62400 62600 63440 63648 63852 65104 65280 66300 66368 67405 68000 68625 68934 69173 70272 70425 70720 71370 72000 73200 73242 74664 74880 75120 76128 76372 76500 77775 78000 78080 78250 79300 79560 79815 80128 80886 81380 81600 82875 82960 83200 84864 85136 87840 88400 90144 91500 91912 93330 93600 93900 95160 95465 95778 96000 97600 97656 97920 99125 99450 99552 100160 101504 101725 102000 103401 103700 104000 106080 106420 107848 108800 109800 110500 112680 114192 114558 114890 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54752125459200 55847167968384 57220458984000 58174133300400 59665777744000 62052408853760 63175529376000 67123999962000 68440156824000 69808959960480 71598933292800 72717666625500 76293945312000 77565511067200 82128188188800 87261199950600 89498666616000 91253542432000 93078613280640 96956888834000 102660235236000 107398399939200 109076499938250 111694335936768 114440917968000 116348266600800 119331555488000 134247999924000 136880313648000 139617919920960 145435333251000 155131022134400 164256376377600 174522399901200 178997333232000 186157226561280 193913777668000 205320470472000 214796799878400 218152999876500 228881835936000 232696533201600 268495999848000 273760627296000 279235839841920 290870666502000 310262044268800 349044799802400 357994666464000 387827555336000 410640940944000 436305999753000 465393066403200 536991999696000 558471679683840 581741333004000 698089599604800 775655110672000 821281881888000 872611999506000 930786132806400 1073983999392000 1163482666008000 1396179199209600 1551310221344000 1745223999012000 2326965332016000 2792358398419200 3490447998024000 4653930664032000 6980895996048000 13961791992096000
- Sum of all divisors σ(n): 58415857722069120
- Sum of proper divisors (its aliquot sum) s(n): 44454065729973120
- 13961791992096000 is an abundant number, because the sum of its proper divisors (44454065729973120) is greater than itself. Its abundance is 30492273737877120
Bases of 13961791992096000
- Binary: 1100011001101000101101000001000001110111100101000000002
- Hexadecimal: 0x319A2D041DE500
- Base-36: 3TH1IP1B280
Squares and roots of 13961791992096000
- 13961791992096000 squared (139617919920960002) is 194931635630555992126473216000000
- 13961791992096000 cubed (139617919920960003) is 2721594949352871958399542173595427700736000000000
-
The
square root of 13961791992096000 is 118160027.0484735459 -
The
cube root of 13961791992096000 is 240794.7725257097
Scales and comparisons
How big is 13961791992096000?- 13,961,791,992,096,000 seconds is equal to 443,941,798 years, 35 weeks, 6 days, 8 hours.
-
To count from 1 to 13,961,791,992,096,000 would take you about one billion, three hundred thirty-one million, eight hundred twenty-five thousand, three hundred ninety-six 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 13961791992096000 cubic inches would be around 20066.2 feet tall.
Recreational maths with 13961791992096000
- 13961791992096000 backwards is 00069029919716931
- 13961791992096000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13961791992096000's digits is 72
- More coming soon!
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"Number 13961791992096000 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
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Numbermatics. (2024). Number 13961791992096000 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/13961791992096000/
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Numbermatics. 2024. "Number 13961791992096000 - Facts about the integer". https://numbermatics.com/n/13961791992096000/
The information we have on file for 13961791992096000 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!
Keywords: Divisors of 13961791992096000, math, Factors of 13961791992096000, curriculum, school, college, exams, university, Prime factorization of 13961791992096000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred sixty-one trillion, seven hundred ninety-one billion, nine hundred ninety-two million, ninety-six thousand.