138509952
138,509,952 is an even composite number composed of four prime numbers multiplied together.
138509952 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 138509952:
27 × 3 × 7 × 2272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 227 × 227)See below for interesting mathematical facts about the number 138509952 from the Numbermatics database.
Names of 138509952
- Cardinal: 138509952 can be written as One hundred thirty-eight million, five hundred nine thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 1.38509952 × 108
Factors of 138509952
Divisors of 138509952
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 227 336 384 448 454 672 681 896 908 1344 1362 1589 1816 2688 2724 3178 3632 4767 5448 6356 7264 9534 10896 12712 14528 19068 21792 25424 29056 38136 43584 50848 51529 76272 87168 101696 103058 152544 154587 203392 206116 305088 309174 360703 412232 610176 618348 721406 824464 1082109 1236696 1442812 1648928 2164218 2473392 2885624 3297856 4328436 4946784 5771248 6595712 8656872 9893568 11542496 17313744 19787136 23084992 34627488 46169984 69254976 138509952
- Sum of all divisors σ(n): 422337120
- Sum of proper divisors (its aliquot sum) s(n): 283827168
- 138509952 is an abundant number, because the sum of its proper divisors (283827168) is greater than itself. Its abundance is 145317216
Bases of 138509952
- Binary: 10000100000101111110100000002
- Hexadecimal: 0x8417E80
- Base-36: 2AGQYO
Squares and roots of 138509952
- 138509952 squared (1385099522) is 19185006803042304
- 138509952 cubed (1385099523) is 2657314371409062981009408
-
The
square root of 138509952 is 11769.0251083087 -
The
cube root of 138509952 is 517.4006773375
Scales and comparisons
How big is 138509952?- 138,509,952 seconds is equal to 4 years, 21 weeks, 2 hours, 59 minutes, 12 seconds.
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To count from 1 to 138,509,952 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 138509952 cubic inches would be around 43.1 feet tall.
Recreational maths with 138509952
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