138315632
138,315,632 is an even composite number composed of five prime numbers multiplied together.
138315632 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138315632:
24 × 72 × 13 × 41 × 331
(2 × 2 × 2 × 2 × 7 × 7 × 13 × 41 × 331)See below for interesting mathematical facts about the number 138315632 from the Numbermatics database.
Names of 138315632
- Cardinal: 138315632 can be written as One hundred thirty-eight million, three hundred fifteen thousand, six hundred thirty-two.
Scientific notation
- Scientific notation: 1.38315632 × 108
Factors of 138315632
Divisors of 138315632
- Number of divisors d(n): 120
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 41 49 52 56 82 91 98 104 112 164 182 196 208 287 328 331 364 392 533 574 637 656 662 728 784 1066 1148 1274 1324 1456 2009 2132 2296 2317 2548 2648 3731 4018 4264 4303 4592 4634 5096 5296 7462 8036 8528 8606 9268 10192 13571 14924 16072 16219 17212 18536 26117 27142 29848 30121 32144 32438 34424 37072 52234 54284 59696 60242 64876 68848 94997 104468 108568 120484 129752 176423 189994 208936 210847 217136 240968 259504 352846 379988 417872 421694 481936 664979 705692 759976 843388 1234961 1329958 1411384 1519952 1686776 2469922 2659916 2822768 3373552 4939844 5319832 8644727 9879688 10639664 17289454 19759376 34578908 69157816 138315632
- Sum of all divisors σ(n): 344946672
- Sum of proper divisors (its aliquot sum) s(n): 206631040
- 138315632 is an abundant number, because the sum of its proper divisors (206631040) is greater than itself. Its abundance is 68315408
Bases of 138315632
- Binary: 10000011111010000111011100002
- Hexadecimal: 0x83E8770
- Base-36: 2ACL0W
Squares and roots of 138315632
- 138315632 squared (1383156322) is 19131214055559424
- 138315632 cubed (1383156323) is 2646145963021984844115968
-
The
square root of 138315632 is 11760.7666416777 -
The
cube root of 138315632 is 517.1586048311
Scales and comparisons
How big is 138315632?- 138,315,632 seconds is equal to 4 years, 20 weeks, 4 days, 21 hours, 32 seconds.
-
To count from 1 to 138,315,632 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 138315632 cubic inches would be around 43.1 feet tall.
Recreational maths with 138315632
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The information we have on file for 138315632 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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