138327680
138,327,680 is an even composite number composed of four prime numbers multiplied together.
138327680 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 138327680:
27 × 5 × 292 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 29 × 29 × 257)See below for interesting mathematical facts about the number 138327680 from the Numbermatics database.
Names of 138327680
- Cardinal: 138327680 can be written as One hundred thirty-eight million, three hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3832768 × 108
Factors of 138327680
Divisors of 138327680
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 257 290 320 464 514 580 640 841 928 1028 1160 1285 1682 1856 2056 2320 2570 3364 3712 4112 4205 4640 5140 6728 7453 8224 8410 9280 10280 13456 14906 16448 16820 18560 20560 26912 29812 32896 33640 37265 41120 53824 59624 67280 74530 82240 107648 119248 134560 149060 164480 216137 238496 269120 298120 432274 476992 538240 596240 864548 953984 1080685 1192480 1729096 2161370 2384960 3458192 4322740 4769920 6916384 8645480 13832768 17290960 27665536 34581920 69163840 138327680
- Sum of all divisors σ(n): 343818540
- Sum of proper divisors (its aliquot sum) s(n): 205490860
- 138327680 is an abundant number, because the sum of its proper divisors (205490860) is greater than itself. Its abundance is 67163180
Bases of 138327680
- Binary: 10000011111010110110100000002
- Hexadecimal: 0x83EB680
- Base-36: 2ACUBK
Squares and roots of 138327680
- 138327680 squared (1383276802) is 19134547054182400
- 138327680 cubed (1383276803) is 2646837501855885688832000
-
The
square root of 138327680 is 11761.2788420307 -
The
cube root of 138327680 is 517.1736201159
Scales and comparisons
How big is 138327680?- 138,327,680 seconds is equal to 4 years, 20 weeks, 5 days, 21 minutes, 20 seconds.
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To count from 1 to 138,327,680 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 138327680 cubic inches would be around 43.1 feet tall.
Recreational maths with 138327680
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The information we have on file for 138327680 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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