137485216
137,485,216 is an even composite number composed of five prime numbers multiplied together.
137485216 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 137485216:
25 × 11 × 19 × 61 × 337
(2 × 2 × 2 × 2 × 2 × 11 × 19 × 61 × 337)See below for interesting mathematical facts about the number 137485216 from the Numbermatics database.
Names of 137485216
- Cardinal: 137485216 can be written as One hundred thirty-seven million, four hundred eighty-five thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.37485216 × 108
Factors of 137485216
Divisors of 137485216
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 8 11 16 19 22 32 38 44 61 76 88 122 152 176 209 244 304 337 352 418 488 608 671 674 836 976 1159 1342 1348 1672 1952 2318 2684 2696 3344 3707 4636 5368 5392 6403 6688 7414 9272 10736 10784 12749 12806 14828 18544 20557 21472 25498 25612 29656 37088 41114 50996 51224 59312 70433 82228 101992 102448 118624 140866 164456 203984 204896 226127 281732 328912 390583 407968 452254 563464 657824 781166 904508 1126928 1562332 1809016 2253856 3124664 3618032 4296413 6249328 7236064 8592826 12498656 17185652 34371304 68742608 137485216
- Sum of all divisors σ(n): 316854720
- Sum of proper divisors (its aliquot sum) s(n): 179369504
- 137485216 is an abundant number, because the sum of its proper divisors (179369504) is greater than itself. Its abundance is 41884288
Bases of 137485216
- Binary: 10000011000111011011101000002
- Hexadecimal: 0x831DBA0
- Base-36: 29US9S
Squares and roots of 137485216
- 137485216 squared (1374852162) is 18902184618566656
- 137485216 cubed (1374852163) is 2598770935155514310557696
-
The
square root of 137485216 is 11725.4089907347 -
The
cube root of 137485216 is 516.1215586055
Scales and comparisons
How big is 137485216?- 137,485,216 seconds is equal to 4 years, 19 weeks, 2 days, 6 hours, 20 minutes, 16 seconds.
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To count from 1 to 137,485,216 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 137485216 cubic inches would be around 43 feet tall.
Recreational maths with 137485216
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The information we have on file for 137485216 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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