137684144
137,684,144 is an even composite number composed of five prime numbers multiplied together.
137684144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 137684144:
24 × 13 × 31 × 131 × 163
(2 × 2 × 2 × 2 × 13 × 31 × 131 × 163)See below for interesting mathematical facts about the number 137684144 from the Numbermatics database.
Names of 137684144
- Cardinal: 137684144 can be written as One hundred thirty-seven million, six hundred eighty-four thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37684144 × 108
Factors of 137684144
Divisors of 137684144
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 8 13 16 26 31 52 62 104 124 131 163 208 248 262 326 403 496 524 652 806 1048 1304 1612 1703 2096 2119 2608 3224 3406 4061 4238 5053 6448 6812 8122 8476 10106 13624 16244 16952 20212 21353 27248 32488 33904 40424 42706 52793 64976 65689 80848 85412 105586 131378 170824 211172 262756 277589 341648 422344 525512 555178 661943 844688 1051024 1110356 1323886 2220712 2647772 4441424 5295544 8605259 10591088 17210518 34421036 68842072 137684144
- Sum of all divisors σ(n): 300647424
- Sum of proper divisors (its aliquot sum) s(n): 162963280
- 137684144 is an abundant number, because the sum of its proper divisors (162963280) is greater than itself. Its abundance is 25279136
Bases of 137684144
- Binary: 10000011010011100100101100002
- Hexadecimal: 0x834E4B0
- Base-36: 29Z1RK
Squares and roots of 137684144
- 137684144 squared (1376841442) is 18956923509012736
- 137684144 cubed (1376841443) is 2610067786211894841257984
-
The
square root of 137684144 is 11733.8886989779 -
The
cube root of 137684144 is 516.3703648741
Scales and comparisons
How big is 137684144?- 137,684,144 seconds is equal to 4 years, 19 weeks, 4 days, 13 hours, 35 minutes, 44 seconds.
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To count from 1 to 137,684,144 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 137684144 cubic inches would be around 43 feet tall.
Recreational maths with 137684144
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The information we have on file for 137684144 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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