137936128
137,936,128 is an even composite number composed of four prime numbers multiplied together.
137936128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred eight divisors.
Prime factorization of 137936128:
28 × 112 × 61 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 11 × 11 × 61 × 73)See below for interesting mathematical facts about the number 137936128 from the Numbermatics database.
Names of 137936128
- Cardinal: 137936128 can be written as One hundred thirty-seven million, nine hundred thirty-six thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37936128 × 108
Factors of 137936128
Divisors of 137936128
- Number of divisors d(n): 108
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Complete list of divisors:
1 2 4 8 11 16 22 32 44 61 64 73 88 121 122 128 146 176 242 244 256 292 352 484 488 584 671 704 803 968 976 1168 1342 1408 1606 1936 1952 2336 2684 2816 3212 3872 3904 4453 4672 5368 6424 7381 7744 7808 8833 8906 9344 10736 12848 14762 15488 15616 17666 17812 18688 21472 25696 29524 30976 35332 35624 42944 48983 51392 59048 70664 71248 85888 97966 102784 118096 141328 142496 171776 195932 205568 236192 282656 284992 391864 472384 538813 565312 569984 783728 944768 1077626 1130624 1139968 1567456 1889536 2155252 2261248 3134912 4310504 6269824 8621008 12539648 17242016 34484032 68968064 137936128
- Sum of all divisors σ(n): 311814244
- Sum of proper divisors (its aliquot sum) s(n): 173878116
- 137936128 is an abundant number, because the sum of its proper divisors (173878116) is greater than itself. Its abundance is 35941988
Bases of 137936128
- Binary: 10000011100010111101000000002
- Hexadecimal: 0x838BD00
- Base-36: 2A4G74
Squares and roots of 137936128
- 137936128 squared (1379361282) is 19026375407632384
- 137936128 cubed (1379361283) is 2624424553603232696369152
-
The
square root of 137936128 is 11744.6212369749 -
The
cube root of 137936128 is 516.6851863405
Scales and comparisons
How big is 137936128?- 137,936,128 seconds is equal to 4 years, 20 weeks, 11 hours, 35 minutes, 28 seconds.
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To count from 1 to 137,936,128 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 137936128 cubic inches would be around 43.1 feet tall.
Recreational maths with 137936128
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