138393750
138,393,750 is an even composite number composed of five prime numbers multiplied together.
138393750 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138393750:
2 × 3 × 55 × 112 × 61
(2 × 3 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 61)See below for interesting mathematical facts about the number 138393750 from the Numbermatics database.
Names of 138393750
- Cardinal: 138393750 can be written as One hundred thirty-eight million, three hundred ninety-three thousand, seven hundred fifty.
Scientific notation
- Scientific notation: 1.3839375 × 108
Factors of 138393750
Divisors of 138393750
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 5 6 10 11 15 22 25 30 33 50 55 61 66 75 110 121 122 125 150 165 183 242 250 275 305 330 363 366 375 550 605 610 625 671 726 750 825 915 1210 1250 1342 1375 1525 1650 1815 1830 1875 2013 2750 3025 3050 3125 3355 3630 3750 4026 4125 4575 6050 6250 6710 6875 7381 7625 8250 9075 9150 9375 10065 13750 14762 15125 15250 16775 18150 18750 20130 20625 22143 22875 30250 33550 34375 36905 38125 41250 44286 45375 45750 50325 68750 73810 75625 76250 83875 90750 100650 103125 110715 114375 151250 167750 184525 190625 206250 221430 226875 228750 251625 369050 378125 381250 419375 453750 503250 553575 571875 756250 838750 922625 1107150 1134375 1143750 1258125 1845250 2096875 2268750 2516250 2767875 4193750 4613125 5535750 6290625 9226250 12581250 13839375 23065625 27678750 46131250 69196875 138393750
- Sum of all divisors σ(n): 386506512
- Sum of proper divisors (its aliquot sum) s(n): 248112762
- 138393750 is an abundant number, because the sum of its proper divisors (248112762) is greater than itself. Its abundance is 109719012
Bases of 138393750
- Binary: 10000011111110111000100101102
- Hexadecimal: 0x83FB896
- Base-36: 2AE9AU
Squares and roots of 138393750
- 138393750 squared (1383937502) is 19152830039062500
- 138393750 cubed (1383937503) is 2650631972218505859375000
-
The
square root of 138393750 is 11764.0872999141 -
The
cube root of 138393750 is 517.2559469077
Scales and comparisons
How big is 138393750?- 138,393,750 seconds is equal to 4 years, 20 weeks, 5 days, 18 hours, 42 minutes, 30 seconds.
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To count from 1 to 138,393,750 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 138393750 cubic inches would be around 43.1 feet tall.
Recreational maths with 138393750
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The information we have on file for 138393750 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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