137814144
137,814,144 is an even composite number composed of five prime numbers multiplied together.
137814144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 137814144:
27 × 3 × 13 × 19 × 1453
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 19 × 1453)See below for interesting mathematical facts about the number 137814144 from the Numbermatics database.
Names of 137814144
- Cardinal: 137814144 can be written as One hundred thirty-seven million, eight hundred fourteen thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.37814144 × 108
Factors of 137814144
Divisors of 137814144
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1216 1248 1453 1482 1664 1824 1976 2432 2496 2906 2964 3648 3952 4359 4992 5812 5928 7296 7904 8718 11624 11856 15808 17436 18889 23248 23712 27607 31616 34872 37778 46496 47424 55214 56667 69744 75556 82821 92992 94848 110428 113334 139488 151112 165642 185984 220856 226668 278976 302224 331284 358891 441712 453336 557952 604448 662568 717782 883424 906672 1076673 1208896 1325136 1435564 1766848 1813344 2153346 2417792 2650272 2871128 3533696 3626688 4306692 5300544 5742256 7253376 8613384 10601088 11484512 17226768 22969024 34453536 45938048 68907072 137814144
- Sum of all divisors σ(n): 415262400
- Sum of proper divisors (its aliquot sum) s(n): 277448256
- 137814144 is an abundant number, because the sum of its proper divisors (277448256) is greater than itself. Its abundance is 139634112
Bases of 137814144
- Binary: 10000011011011100000100000002
- Hexadecimal: 0x836E080
- Base-36: 2A1U2O
Squares and roots of 137814144
- 137814144 squared (1378141442) is 18992738286452736
- 137814144 cubed (1378141443) is 2617467969163510608297984
-
The
square root of 137814144 is 11739.4269025365 -
The
cube root of 137814144 is 516.5328310069
Scales and comparisons
How big is 137814144?- 137,814,144 seconds is equal to 4 years, 19 weeks, 6 days, 1 hour, 42 minutes, 24 seconds.
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To count from 1 to 137,814,144 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 137814144 cubic inches would be around 43 feet tall.
Recreational maths with 137814144
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The information we have on file for 137814144 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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