13982695476768000
13,982,695,476,768,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13982695476768000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
13982695476768000 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 13982695476768000:
28 × 32 × 53 × 29 × 43 × 113 × 127 × 2713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 29 × 43 × 113 × 127 × 2713)See below for interesting mathematical facts about the number 13982695476768000 from the Numbermatics database.
Names of 13982695476768000
- Cardinal: 13982695476768000 can be written as Thirteen quadrillion, nine hundred eighty-two trillion, six hundred ninety-five billion, four hundred seventy-six million, seven hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3982695476768 × 1016
Factors of 13982695476768000
Divisors of 13982695476768000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 29 30 32 36 40 43 45 48 50 58 60 64 72 75 80 86 87 90 96 100 113 116 120 125 127 128 129 144 145 150 160 172 174 180 192 200 215 225 226 232 240 250 254 256 258 261 288 290 300 320 339 344 348 360 375 381 384 387 400 430 435 450 452 464 480 500 508 516 522 565 576 580 600 635 640 645 678 688 696 720 725 750 762 768 774 800 860 870 900 904 928 960 1000 1016 1017 1032 1044 1075 1125 1130 1143 1152 1160 1200 1247 1270 1280 1290 1305 1356 1376 1392 1440 1450 1500 1524 1548 1600 1695 1720 1740 1800 1808 1856 1905 1920 1935 2000 2032 2034 2064 2088 2150 2175 2250 2260 2286 2304 2320 2400 2494 2540 2580 2610 2712 2713 2752 2784 2825 2880 2900 3000 3048 3096 3175 3200 3225 3277 3390 3440 3480 3600 3616 3625 3683 3712 3741 3810 3840 3870 4000 4064 4068 4128 4176 4300 4350 4500 4520 4572 4640 4800 4859 4988 5080 5085 5160 5220 5375 5424 5426 5461 5504 5568 5650 5715 5760 5800 6000 6096 6192 6235 6350 6400 6450 6525 6554 6780 6880 6960 7200 7232 7250 7366 7424 7482 7620 7740 8000 8128 8136 8139 8256 8352 8475 8600 8700 9000 9040 9144 9280 9525 9600 9675 9718 9831 9976 10160 10170 10320 10440 10750 10848 10852 10875 10922 11008 11049 11136 11223 11300 11430 11520 11600 12000 12192 12384 12470 12700 12900 13050 13108 13560 13565 13760 13920 14125 14351 14400 14464 14500 14577 14732 14964 15240 15480 15875 16000 16125 16256 16272 16278 16383 16385 16512 16704 16950 17200 17400 18000 18080 18288 18415 18560 18705 19050 19200 19350 19436 19662 19952 20320 20340 20640 20880 21500 21696 21704 21750 21844 22098 22272 22446 22600 22860 23200 24000 24295 24384 24417 24768 24940 25400 25425 25800 26100 26216 27120 27130 27305 27520 27840 28250 28575 28702 28800 28928 29000 29154 29464 29493 29928 30480 30960 31175 31750 32000 32250 32512 32544 32556 32625 32766 32770 33024 33147 33408 33900 34400 34800 36000 36160 36576 36830 37120 37410 38100 38700 38872 39324 39904 40640 40680 40695 41280 41760 42375 43000 43053 43392 43408 43500 43688 43731 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1398269547676800 1553632830752000 1747836934596000 2330449246128000 2796539095353600 3495673869192000 4660898492256000 6991347738384000 13982695476768000
- Sum of all divisors σ(n): 54173568762593280
- Sum of proper divisors (its aliquot sum) s(n): 40190873285825280
- 13982695476768000 is an abundant number, because the sum of its proper divisors (40190873285825280) is greater than itself. Its abundance is 26208177809057280
Bases of 13982695476768000
- Binary: 1100011010110100101111111111001110010100101101000000002
- Hexadecimal: 0x31AD2FFCE52D00
- Base-36: 3TOG9MGDA80
Squares and roots of 13982695476768000
- 13982695476768000 squared (139826954767680002) is 195515772796028286827725824000000
- 13982695476768000 cubed (139826954767680003) is 2733837511911824710501421994896865656832000000000
-
The
square root of 13982695476768000 is 118248448.0945437187 -
The
cube root of 13982695476768000 is 240914.8846123957
Scales and comparisons
How big is 13982695476768000?- 13,982,695,476,768,000 seconds is equal to 444,606,464 years, 43 weeks, 6 days, 8 hours.
-
To count from 1 to 13,982,695,476,768,000 would take you about one billion, three hundred thirty-three million, eight hundred nineteen thousand, three hundred ninety-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 13982695476768000 cubic inches would be around 20076.2 feet tall.
Recreational maths with 13982695476768000
- 13982695476768000 backwards is 00086767459628931
- The number of decimal digits it has is: 17
- The sum of 13982695476768000's digits is 81
- More coming soon!
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"Number 13982695476768000 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 13982695476768000 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/13982695476768000/
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The information we have on file for 13982695476768000 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 13982695476768000, math, Factors of 13982695476768000, curriculum, school, college, exams, university, Prime factorization of 13982695476768000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred eighty-two trillion, six hundred ninety-five billion, four hundred seventy-six million, seven hundred sixty-eight thousand.