138014976
138,014,976 is an even composite number composed of five prime numbers multiplied together.
138014976 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138014976:
28 × 3 × 11 × 17 × 312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 17 × 31 × 31)See below for interesting mathematical facts about the number 138014976 from the Numbermatics database.
Names of 138014976
- Cardinal: 138014976 can be written as One hundred thirty-eight million, fourteen thousand, nine hundred seventy-six.
Scientific notation
- Scientific notation: 1.38014976 × 108
Factors of 138014976
Divisors of 138014976
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 6 8 11 12 16 17 22 24 31 32 33 34 44 48 51 62 64 66 68 88 93 96 102 124 128 132 136 176 186 187 192 204 248 256 264 272 341 352 372 374 384 408 496 527 528 544 561 682 704 744 748 768 816 961 992 1023 1054 1056 1088 1122 1364 1408 1488 1496 1581 1632 1922 1984 2046 2108 2112 2176 2244 2728 2816 2883 2976 2992 3162 3264 3844 3968 4092 4216 4224 4352 4488 5456 5766 5797 5952 5984 6324 6528 7688 7936 8184 8432 8448 8976 10571 10912 11532 11594 11904 11968 12648 13056 15376 16337 16368 16864 17391 17952 21142 21824 23064 23188 23808 23936 25296 30752 31713 32674 32736 33728 34782 35904 42284 43648 46128 46376 47872 49011 50592 61504 63426 65348 65472 67456 69564 71808 84568 87296 92256 92752 98022 101184 123008 126852 130696 130944 134912 139128 143616 169136 179707 184512 185504 196044 202368 246016 253704 261392 261888 278256 338272 359414 369024 371008 392088 404736 507408 522784 539121 556512 676544 718828 738048 742016 784176 1014816 1045568 1078242 1113024 1353088 1437656 1484032 1568352 2029632 2091136 2156484 2226048 2706176 2875312 3136704 4059264 4182272 4312968 4452096 5750624 6273408 8118528 8625936 11501248 12546816 17251872 23002496 34503744 46004992 69007488 138014976
- Sum of all divisors σ(n): 438413472
- Sum of proper divisors (its aliquot sum) s(n): 300398496
- 138014976 is an abundant number, because the sum of its proper divisors (300398496) is greater than itself. Its abundance is 162383520
Bases of 138014976
- Binary: 10000011100111110001000000002
- Hexadecimal: 0x839F100
- Base-36: 2A651C
Squares and roots of 138014976
- 138014976 squared (1380149762) is 19048133600280576
- 138014976 cubed (1380149763) is 2628927701687517289906176
-
The
square root of 138014976 is 11747.9775280683 -
The
cube root of 138014976 is 516.7836179697
Scales and comparisons
How big is 138014976?- 138,014,976 seconds is equal to 4 years, 20 weeks, 1 day, 9 hours, 29 minutes, 36 seconds.
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To count from 1 to 138,014,976 would take you about 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 138014976 cubic inches would be around 43.1 feet tall.
Recreational maths with 138014976
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