138072984
138,072,984 is an even composite number composed of five prime numbers multiplied together.
138072984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 138072984:
23 × 3 × 72 × 137 × 857
(2 × 2 × 2 × 3 × 7 × 7 × 137 × 857)See below for interesting mathematical facts about the number 138072984 from the Numbermatics database.
Names of 138072984
- Cardinal: 138072984 can be written as One hundred thirty-eight million, seventy-two thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38072984 × 108
Factors of 138072984
Divisors of 138072984
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 137 147 168 196 274 294 392 411 548 588 822 857 959 1096 1176 1644 1714 1918 2571 2877 3288 3428 3836 5142 5754 5999 6713 6856 7672 10284 11508 11998 13426 17997 20139 20568 23016 23996 26852 35994 40278 41993 47992 53704 71988 80556 83986 117409 125979 143976 161112 167972 234818 251958 335944 352227 469636 503916 704454 821863 939272 1007832 1408908 1643726 2465589 2817816 3287452 4931178 5753041 6574904 9862356 11506082 17259123 19724712 23012164 34518246 46024328 69036492 138072984
- Sum of all divisors σ(n): 404941680
- Sum of proper divisors (its aliquot sum) s(n): 266868696
- 138072984 is an abundant number, because the sum of its proper divisors (266868696) is greater than itself. Its abundance is 128795712
Bases of 138072984
- Binary: 10000011101011010011100110002
- Hexadecimal: 0x83AD398
- Base-36: 2A7DSO
Squares and roots of 138072984
- 138072984 squared (1380729842) is 19064148910664256
- 138072984 cubed (1380729843) is 2632243927515763248059904
-
The
square root of 138072984 is 11750.4461191905 -
The
cube root of 138072984 is 516.8560095947
Scales and comparisons
How big is 138072984?- 138,072,984 seconds is equal to 4 years, 20 weeks, 2 days, 1 hour, 36 minutes, 24 seconds.
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To count from 1 to 138,072,984 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 138072984 cubic inches would be around 43.1 feet tall.
Recreational maths with 138072984
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