137164896
137,164,896 is an even composite number composed of five prime numbers multiplied together.
137164896 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 137164896:
25 × 32 × 11 × 29 × 1493
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 29 × 1493)See below for interesting mathematical facts about the number 137164896 from the Numbermatics database.
Names of 137164896
- Cardinal: 137164896 can be written as One hundred thirty-seven million, one hundred sixty-four thousand, eight hundred ninety-six.
Scientific notation
- Scientific notation: 1.37164896 × 108
Factors of 137164896
Divisors of 137164896
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1493 1584 1914 2088 2552 2784 2871 2986 3168 3828 4176 4479 5104 5742 5972 7656 8352 8958 10208 11484 11944 13437 15312 16423 17916 22968 23888 26874 30624 32846 35832 43297 45936 47776 49269 53748 65692 71664 86594 91872 98538 107496 129891 131384 143328 147807 173188 197076 214992 259782 262768 295614 346376 389673 394152 429984 476267 519564 525536 591228 692752 779346 788304 952534 1039128 1182456 1385504 1428801 1558692 1576608 1905068 2078256 2364912 2857602 3117384 3810136 4156512 4286403 4729824 5715204 6234768 7620272 8572806 11430408 12469536 15240544 17145612 22860816 34291224 45721632 68582448 137164896
- Sum of all divisors σ(n): 440490960
- Sum of proper divisors (its aliquot sum) s(n): 303326064
- 137164896 is an abundant number, because the sum of its proper divisors (303326064) is greater than itself. Its abundance is 166161168
Bases of 137164896
- Binary: 10000010110011111000011000002
- Hexadecimal: 0x82CF860
- Base-36: 29NX40
Squares and roots of 137164896
- 137164896 squared (1371648962) is 18814208694690816
- 137164896 cubed (1371648963) is 2580648978929561528795136
-
The
square root of 137164896 is 11711.7418004325 -
The
cube root of 137164896 is 515.7204182201
Scales and comparisons
How big is 137164896?- 137,164,896 seconds is equal to 4 years, 18 weeks, 5 days, 13 hours, 21 minutes, 36 seconds.
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To count from 1 to 137,164,896 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 137164896 cubic inches would be around 43 feet tall.
Recreational maths with 137164896
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