13729968
13,729,968 is an even composite number composed of five prime numbers multiplied together.
13729968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 13729968:
24 × 32 × 7 × 53 × 257
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 53 × 257)See below for interesting mathematical facts about the number 13729968 from the Numbermatics database.
Names of 13729968
- Cardinal: 13729968 can be written as Thirteen million, seven hundred twenty-nine thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.3729968 × 107
Factors of 13729968
Divisors of 13729968
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 257 318 336 371 424 477 504 514 636 742 771 848 954 1008 1028 1113 1272 1484 1542 1799 1908 2056 2226 2313 2544 2968 3084 3339 3598 3816 4112 4452 4626 5397 5936 6168 6678 7196 7632 8904 9252 10794 12336 13356 13621 14392 16191 17808 18504 21588 26712 27242 28784 32382 37008 40863 43176 53424 54484 64764 81726 86352 95347 108968 122589 129528 163452 190694 217936 245178 259056 286041 326904 381388 490356 572082 653808 762776 858123 980712 1144164 1525552 1716246 1961424 2288328 3432492 4576656 6864984 13729968
- Sum of all divisors σ(n): 44916768
- Sum of proper divisors (its aliquot sum) s(n): 31186800
- 13729968 is an abundant number, because the sum of its proper divisors (31186800) is greater than itself. Its abundance is 17456832
Bases of 13729968
- Binary: 1101000110000000101100002
- Hexadecimal: 0xD180B0
- Base-36: 86A40
Squares and roots of 13729968
- 13729968 squared (137299682) is 188512021281024
- 13729968 cubed (137299683) is 2588264019803778527232
-
The
square root of 13729968 is 3705.3971447067 -
The
cube root of 13729968 is 239.4545948273
Scales and comparisons
How big is 13729968?- 13,729,968 seconds is equal to 22 weeks, 4 days, 21 hours, 52 minutes, 48 seconds.
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To count from 1 to 13,729,968 would take you about thirty-four weeks!
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 13729968 cubic inches would be around 20 feet tall.
Recreational maths with 13729968
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The information we have on file for 13729968 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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