137438424
137,438,424 is an even composite number composed of five prime numbers multiplied together.
137438424 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 137438424:
23 × 33 × 29 × 37 × 593
(2 × 2 × 2 × 3 × 3 × 3 × 29 × 37 × 593)See below for interesting mathematical facts about the number 137438424 from the Numbermatics database.
Names of 137438424
- Cardinal: 137438424 can be written as One hundred thirty-seven million, four hundred thirty-eight thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.37438424 × 108
Factors of 137438424
Divisors of 137438424
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 87 108 111 116 148 174 216 222 232 261 296 333 348 444 522 593 666 696 783 888 999 1044 1073 1186 1332 1566 1779 1998 2088 2146 2372 2664 3132 3219 3558 3996 4292 4744 5337 6264 6438 7116 7992 8584 9657 10674 12876 14232 16011 17197 19314 21348 21941 25752 28971 32022 34394 38628 42696 43882 51591 57942 64044 65823 68788 77256 87764 103182 115884 128088 131646 137576 154773 175528 197469 206364 231768 263292 309546 394938 412728 464319 526584 592407 619092 636289 789876 928638 1184814 1238184 1272578 1579752 1857276 1908867 2369628 2545156 3714552 3817734 4739256 5090312 5726601 7635468 11453202 15270936 17179803 22906404 34359606 45812808 68719212 137438424
- Sum of all divisors σ(n): 406296000
- Sum of proper divisors (its aliquot sum) s(n): 268857576
- 137438424 is an abundant number, because the sum of its proper divisors (268857576) is greater than itself. Its abundance is 131419152
Bases of 137438424
- Binary: 10000011000100100100110110002
- Hexadecimal: 0x83124D8
- Base-36: 29TS60
Squares and roots of 137438424
- 137438424 squared (1374384242) is 18889320391603776
- 137438424 cubed (1374384243) is 2596118425053085805889024
-
The
square root of 137438424 is 11723.4134960773 -
The
cube root of 137438424 is 516.0629993389
Scales and comparisons
How big is 137438424?- 137,438,424 seconds is equal to 4 years, 19 weeks, 1 day, 17 hours, 20 minutes, 24 seconds.
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To count from 1 to 137,438,424 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 137438424 cubic inches would be around 43 feet tall.
Recreational maths with 137438424
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The information we have on file for 137438424 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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