138526848
138,526,848 is an even composite number composed of four prime numbers multiplied together.
138526848 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred sixty divisors.
Prime factorization of 138526848:
27 × 34 × 31 × 431
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 31 × 431)See below for interesting mathematical facts about the number 138526848 from the Numbermatics database.
Names of 138526848
- Cardinal: 138526848 can be written as One hundred thirty-eight million, five hundred twenty-six thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38526848 × 108
Factors of 138526848
Divisors of 138526848
- Number of divisors d(n): 160
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 279 288 324 372 384 431 432 496 558 576 648 744 837 862 864 992 1116 1152 1293 1296 1488 1674 1724 1728 1984 2232 2511 2586 2592 2976 3348 3448 3456 3879 3968 4464 5022 5172 5184 5952 6696 6896 7758 8928 10044 10344 10368 11637 11904 13361 13392 13792 15516 17856 20088 20688 23274 26722 26784 27584 31032 34911 35712 40083 40176 41376 46548 53444 53568 55168 62064 69822 80166 80352 82752 93096 106888 107136 120249 124128 139644 160332 160704 165504 186192 213776 240498 248256 279288 320664 321408 360747 372384 427552 480996 496512 558576 641328 721494 744768 855104 961992 1082241 1117152 1282656 1442988 1489536 1710208 1923984 2164482 2234304 2565312 2885976 3847968 4328964 4468608 5130624 5771952 7695936 8657928 11543904 15391872 17315856 23087808 34631712 46175616 69263424 138526848
- Sum of all divisors σ(n): 426539520
- Sum of proper divisors (its aliquot sum) s(n): 288012672
- 138526848 is an abundant number, because the sum of its proper divisors (288012672) is greater than itself. Its abundance is 149485824
Bases of 138526848
- Binary: 10000100000111000000100000002
- Hexadecimal: 0x841C080
- Base-36: 2AH400
Squares and roots of 138526848
- 138526848 squared (1385268482) is 19189687616815104
- 138526848 cubed (1385268483) is 2658286939662028155912192
-
The
square root of 138526848 is 11769.7429028845 -
The
cube root of 138526848 is 517.4217146859
Scales and comparisons
How big is 138526848?- 138,526,848 seconds is equal to 4 years, 21 weeks, 7 hours, 40 minutes, 48 seconds.
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To count from 1 to 138,526,848 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 138526848 cubic inches would be around 43.1 feet tall.
Recreational maths with 138526848
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