137908953
137,908,953 is an odd composite number composed of five prime numbers multiplied together.
137908953 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 137908953:
33 × 7 × 13 × 372 × 41
(3 × 3 × 3 × 7 × 13 × 37 × 37 × 41)See below for interesting mathematical facts about the number 137908953 from the Numbermatics database.
Names of 137908953
- Cardinal: 137908953 can be written as One hundred thirty-seven million, nine hundred eight thousand, nine hundred fifty-three.
Scientific notation
- Scientific notation: 1.37908953 × 108
Factors of 137908953
Divisors of 137908953
- Number of divisors d(n): 96
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Complete list of divisors:
1 3 7 9 13 21 27 37 39 41 63 91 111 117 123 189 259 273 287 333 351 369 481 533 777 819 861 999 1107 1369 1443 1517 1599 2331 2457 2583 3367 3731 4107 4329 4551 4797 6993 7749 9583 10101 10619 11193 12321 12987 13653 14391 17797 19721 28749 30303 31857 33579 36963 40959 53391 56129 59163 86247 90909 95571 100737 124579 138047 160173 168387 177489 258741 286713 373737 392903 414141 480519 505161 532467 729677 1121211 1178709 1242423 1515483 2189031 3363633 3536127 3727269 5107739 6567093 10608381 15323217 19701279 45969651 137908953
- Sum of all divisors σ(n): 264741120
- Sum of proper divisors (its aliquot sum) s(n): 126832167
- 137908953 is a deficient number, because the sum of its proper divisors (126832167) is less than itself. Its deficiency is 11076786
Bases of 137908953
- Binary: 10000011100001010010110110012
- Hexadecimal: 0x83852D9
- Base-36: 2A3V89
Squares and roots of 137908953
- 137908953 squared (1379089532) is 19018879317556209
- 137908953 cubed (1379089533) is 2622873733917531301839177
-
The
square root of 137908953 is 11743.4642674127 -
The
cube root of 137908953 is 516.6512531415
Scales and comparisons
How big is 137908953?- 137,908,953 seconds is equal to 4 years, 20 weeks, 4 hours, 2 minutes, 33 seconds.
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To count from 1 to 137,908,953 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 137908953 cubic inches would be around 43.1 feet tall.
Recreational maths with 137908953
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