138228800
138,228,800 is an even composite number composed of four prime numbers multiplied together.
138228800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty-four divisors.
Prime factorization of 138228800:
26 × 52 × 19 × 4547
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 19 × 4547)See below for interesting mathematical facts about the number 138228800 from the Numbermatics database.
Names of 138228800
- Cardinal: 138228800 can be written as One hundred thirty-eight million, two hundred twenty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.382288 × 108
Factors of 138228800
Divisors of 138228800
- Number of divisors d(n): 84
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Complete list of divisors:
1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 152 160 190 200 304 320 380 400 475 608 760 800 950 1216 1520 1600 1900 3040 3800 4547 6080 7600 9094 15200 18188 22735 30400 36376 45470 72752 86393 90940 113675 145504 172786 181880 227350 291008 345572 363760 431965 454700 691144 727520 863930 909400 1382288 1455040 1727860 1818800 2159825 2764576 3455720 3637600 4319650 5529152 6911440 7275200 8639300 13822880 17278600 27645760 34557200 69114400 138228800
- Sum of all divisors σ(n): 358109520
- Sum of proper divisors (its aliquot sum) s(n): 219880720
- 138228800 is an abundant number, because the sum of its proper divisors (219880720) is greater than itself. Its abundance is 81651920
Bases of 138228800
- Binary: 10000011110100110100010000002
- Hexadecimal: 0x83D3440
- Base-36: 2AAQ0W
Squares and roots of 138228800
- 138228800 squared (1382288002) is 19107201149440000
- 138228800 cubed (1382288003) is 2641165486245711872000000
-
The
square root of 138228800 is 11757.0744660395 -
The
cube root of 138228800 is 517.0503613019
Scales and comparisons
How big is 138228800?- 138,228,800 seconds is equal to 4 years, 20 weeks, 3 days, 20 hours, 53 minutes, 20 seconds.
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To count from 1 to 138,228,800 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 138228800 cubic inches would be around 43.1 feet tall.
Recreational maths with 138228800
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The information we have on file for 138228800 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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