138315384
138,315,384 is an even composite number composed of five prime numbers multiplied together.
138315384 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 138315384:
23 × 33 × 29 × 71 × 311
(2 × 2 × 2 × 3 × 3 × 3 × 29 × 71 × 311)See below for interesting mathematical facts about the number 138315384 from the Numbermatics database.
Names of 138315384
- Cardinal: 138315384 can be written as One hundred thirty-eight million, three hundred fifteen thousand, three hundred eighty-four.
Scientific notation
- Scientific notation: 1.38315384 × 108
Factors of 138315384
Divisors of 138315384
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 71 72 87 108 116 142 174 213 216 232 261 284 311 348 426 522 568 622 639 696 783 852 933 1044 1244 1278 1566 1704 1866 1917 2059 2088 2488 2556 2799 3132 3732 3834 4118 5112 5598 6177 6264 7464 7668 8236 8397 9019 11196 12354 15336 16472 16794 18038 18531 22081 22392 24708 27057 33588 36076 37062 44162 49416 54114 55593 66243 67176 72152 74124 81171 88324 108228 111186 132486 148248 162342 176648 198729 216456 222372 243513 264972 324684 397458 444744 487026 529944 596187 640349 649368 794916 974052 1192374 1280698 1589832 1921047 1948104 2384748 2561396 3842094 4769496 5122792 5763141 7684188 11526282 15368376 17289423 23052564 34578846 46105128 69157692 138315384
- Sum of all divisors σ(n): 404352000
- Sum of proper divisors (its aliquot sum) s(n): 266036616
- 138315384 is an abundant number, because the sum of its proper divisors (266036616) is greater than itself. Its abundance is 127721232
Bases of 138315384
- Binary: 10000011111010000110011110002
- Hexadecimal: 0x83E8678
- Base-36: 2ACKU0
Squares and roots of 138315384
- 138315384 squared (1383153842) is 19131145451067456
- 138315384 cubed (1383153843) is 2646131729424248386543104
-
The
square root of 138315384 is 11760.7560981427 -
The
cube root of 138315384 is 517.1582957421
Scales and comparisons
How big is 138315384?- 138,315,384 seconds is equal to 4 years, 20 weeks, 4 days, 20 hours, 56 minutes, 24 seconds.
-
To count from 1 to 138,315,384 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 138315384 cubic inches would be around 43.1 feet tall.
Recreational maths with 138315384
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The information we have on file for 138315384 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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