13995905228256000
13,995,905,228,256,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13995905228256000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 3456 divisors.
13995905228256000 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 13995905228256000:
28 × 3 × 53 × 72 × 29 × 53 × 409 × 4733
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 29 × 53 × 409 × 4733)See below for interesting mathematical facts about the number 13995905228256000 from the Numbermatics database.
Names of 13995905228256000
- Cardinal: 13995905228256000 can be written as Thirteen quadrillion, nine hundred ninety-five trillion, nine hundred five billion, two hundred twenty-eight million, two hundred fifty-six thousand.
Scientific notation
- Scientific notation: 1.3995905228256 × 1016
Factors of 13995905228256000
Divisors of 13995905228256000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 49 50 53 56 58 60 64 70 75 80 84 87 96 98 100 105 106 112 116 120 125 128 140 145 147 150 159 160 168 174 175 192 196 200 203 210 212 224 232 240 245 250 256 265 280 290 294 300 318 320 336 348 350 371 375 384 392 400 406 409 420 424 435 448 464 480 490 500 525 530 560 580 588 600 609 636 640 672 696 700 725 735 742 750 768 784 795 800 812 818 840 848 870 875 896 928 960 980 1000 1015 1050 1060 1113 1120 1160 1176 1200 1218 1225 1227 1272 1280 1325 1344 1392 1400 1421 1450 1470 1484 1500 1537 1568 1590 1600 1624 1636 1680 1696 1740 1750 1792 1855 1856 1920 1960 2000 2030 2045 2100 2120 2175 2226 2240 2320 2352 2400 2436 2450 2454 2544 2597 2625 2650 2688 2784 2800 2842 2863 2900 2940 2968 3000 3045 3074 3136 3180 3200 3248 3272 3360 3392 3480 3500 3625 3675 3710 3712 3840 3920 3975 4000 4060 4090 4200 4240 4263 4350 4452 4480 4611 4640 4704 4733 4800 4872 4900 4908 5075 5088 5194 5250 5300 5376 5565 5568 5600 5684 5726 5800 5880 5936 6000 6090 6125 6135 6148 6272 6360 6400 6496 6544 6625 6720 6784 6960 7000 7105 7250 7350 7420 7424 7685 7791 7840 7950 8000 8120 8180 8400 8480 8526 8589 8700 8904 8960 9222 9275 9280 9408 9466 9600 9744 9800 9816 10150 10176 10225 10388 10500 10600 10759 10875 11130 11136 11200 11368 11452 11600 11760 11861 11872 12000 12180 12250 12270 12296 12544 12720 12985 12992 13088 13250 13440 13568 13920 14000 14199 14210 14315 14500 14700 14840 15225 15370 15582 15680 15900 16000 16240 16360 16800 16960 17052 17178 17400 17808 18375 18444 18550 18560 18816 18932 19200 19488 19600 19632 19875 20041 20300 20352 20450 20776 21000 21200 21315 21518 21677 21750 22260 22272 22400 22736 22904 23055 23200 23520 23665 23722 23744 24000 24360 24500 24540 24592 25375 25440 25970 25984 26176 26500 26880 27825 27840 28000 28398 28420 28630 29000 29400 29680 30450 30675 30740 31164 31360 31800 32000 32277 32480 32720 33131 33600 33920 34104 34356 34800 35525 35583 35616 36750 36888 37100 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47605119824000 48261742166400 49985375815200 52814736710400 54671504797875 55983620913024 57126143788800 58316271784400 60327177708000 62481719769000 66018420888000 66647167753600 68945345952000 69979526141280 71407679736000 72895339730500 79976601304320 80436236944000 83308959692000 87474407676600 88024561184000 93306034855040 95210239648000 96523484332800 99970751630400 109343009595750 111967241826048 116632543568800 120654355416000 124963439538000 132036841776000 133294335507200 139959052282560 142815359472000 145790679461000 160872473888000 166617919384000 174948815353200 186612069710080 199941503260800 218686019191500 233265087137600 241308710832000 249926879076000 264073683552000 279918104565120 285630718944000 291581358922000 333235838768000 349897630706400 399883006521600 437372038383000 466530174275200 482617421664000 499853758152000 559836209130240 583162717844000 666471677536000 699795261412800 874744076766000 933060348550400 999707516304000 1166325435688000 1399590522825600 1749488153532000 1999415032608000 2332650871376000 2799181045651200 3498976307064000 4665301742752000 6997952614128000 13995905228256000
- Sum of all divisors σ(n): 57148846682054400
- Sum of proper divisors (its aliquot sum) s(n): 43152941453798400
- 13995905228256000 is an abundant number, because the sum of its proper divisors (43152941453798400) is greater than itself. Its abundance is 29157036225542400
Bases of 13995905228256000
- Binary: 1100011011100100110011100111110111000010110011000000002
- Hexadecimal: 0x31B9339F70B300
- Base-36: 3TT4U3LC7PC
Squares and roots of 13995905228256000
- 13995905228256000 squared (139959052282560002) is 195885363158323635460801536000000
- 13995905228256000 cubed (139959052282560003) is 2741592978366407014230329257450795401216000000000
-
The
square root of 13995905228256000 is 118304290.8277463959 -
The
cube root of 13995905228256000 is 240990.7265490209
Scales and comparisons
How big is 13995905228256000?- 13,995,905,228,256,000 seconds is equal to 445,026,494 years, 4 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,995,905,228,256,000 would take you about one billion, three hundred thirty-five million, seventy-nine thousand, four hundred eighty-two 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 13995905228256000 cubic inches would be around 20082.6 feet tall.
Recreational maths with 13995905228256000
- 13995905228256000 backwards is 00065282250959931
- The number of decimal digits it has is: 17
- The sum of 13995905228256000's digits is 66
- More coming soon!
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"Number 13995905228256000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13995905228256000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13995905228256000/
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The information we have on file for 13995905228256000 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 13995905228256000, math, Factors of 13995905228256000, curriculum, school, college, exams, university, Prime factorization of 13995905228256000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, nine hundred ninety-five trillion, nine hundred five billion, two hundred twenty-eight million, two hundred fifty-six thousand.