138825264
138,825,264 is an even composite number composed of five prime numbers multiplied together.
138825264 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 138825264:
24 × 3 × 17 × 61 × 2789
(2 × 2 × 2 × 2 × 3 × 17 × 61 × 2789)See below for interesting mathematical facts about the number 138825264 from the Numbermatics database.
Names of 138825264
- Cardinal: 138825264 can be written as One hundred thirty-eight million, eight hundred twenty-five thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38825264 × 108
Factors of 138825264
Divisors of 138825264
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 6 8 12 16 17 24 34 48 51 61 68 102 122 136 183 204 244 272 366 408 488 732 816 976 1037 1464 2074 2789 2928 3111 4148 5578 6222 8296 8367 11156 12444 16592 16734 22312 24888 33468 44624 47413 49776 66936 94826 133872 142239 170129 189652 284478 340258 379304 510387 568956 680516 758608 1020774 1137912 1361032 2041548 2275824 2722064 2892193 4083096 5784386 8166192 8676579 11568772 17353158 23137544 34706316 46275088 69412632 138825264
- Sum of all divisors σ(n): 386091360
- Sum of proper divisors (its aliquot sum) s(n): 247266096
- 138825264 is an abundant number, because the sum of its proper divisors (247266096) is greater than itself. Its abundance is 108440832
Bases of 138825264
- Binary: 10000100011001001110001100002
- Hexadecimal: 0x8464E30
- Base-36: 2ANI9C
Squares and roots of 138825264
- 138825264 squared (1388252642) is 19272453924669696
- 138825264 cubed (1388252643) is 2675503504020106659999744
-
The
square root of 138825264 is 11782.4133351363 -
The
cube root of 138825264 is 517.7929933181
Scales and comparisons
How big is 138825264?- 138,825,264 seconds is equal to 4 years, 21 weeks, 3 days, 18 hours, 34 minutes, 24 seconds.
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To count from 1 to 138,825,264 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 138825264 cubic inches would be around 43.1 feet tall.
Recreational maths with 138825264
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