138396384
138,396,384 is an even composite number composed of four prime numbers multiplied together.
138396384 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 138396384:
25 × 33 × 73 × 467
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 × 467)See below for interesting mathematical facts about the number 138396384 from the Numbermatics database.
Names of 138396384
- Cardinal: 138396384 can be written as One hundred thirty-eight million, three hundred ninety-six thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38396384 × 108
Factors of 138396384
Divisors of 138396384
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 343 378 392 432 441 467 504 588 672 686 756 784 864 882 934 1008 1029 1176 1323 1372 1401 1512 1568 1764 1868 2016 2058 2352 2646 2744 2802 3024 3087 3269 3528 3736 4116 4203 4704 5292 5488 5604 6048 6174 6538 7056 7472 8232 8406 9261 9807 10584 10976 11208 12348 12609 13076 14112 14944 16464 16812 18522 19614 21168 22416 22883 24696 25218 26152 29421 32928 33624 37044 39228 42336 44832 45766 49392 50436 52304 58842 67248 68649 74088 78456 88263 91532 98784 100872 104608 117684 134496 137298 148176 156912 160181 176526 183064 201744 205947 235368 274596 296352 313824 320362 353052 366128 403488 411894 470736 480543 549192 617841 640724 706104 732256 823788 941472 961086 1098384 1235682 1281448 1412208 1441629 1647576 1922172 2196768 2471364 2562896 2824416 2883258 3295152 3844344 4324887 4942728 5125792 5766516 6590304 7688688 8649774 9885456 11533032 15377376 17299548 19770912 23066064 34599096 46132128 69198192 138396384
- Sum of all divisors σ(n): 471744000
- Sum of proper divisors (its aliquot sum) s(n): 333347616
- 138396384 is an abundant number, because the sum of its proper divisors (333347616) is greater than itself. Its abundance is 194951232
Bases of 138396384
- Binary: 10000011111111000010111000002
- Hexadecimal: 0x83FC2E0
- Base-36: 2AEBC0
Squares and roots of 138396384
- 138396384 squared (1383963842) is 19153559104275456
- 138396384 cubed (1383963843) is 2650783320762002050351104
-
The
square root of 138396384 is 11764.1992502677 -
The
cube root of 138396384 is 517.2592284709
Scales and comparisons
How big is 138396384?- 138,396,384 seconds is equal to 4 years, 20 weeks, 5 days, 19 hours, 26 minutes, 24 seconds.
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To count from 1 to 138,396,384 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 138396384 cubic inches would be around 43.1 feet tall.
Recreational maths with 138396384
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