138741888
138,741,888 is an even composite number composed of four prime numbers multiplied together.
What does the number 138741888 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 96 divisors.
138741888 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 138741888:
27 × 3 × 232 × 683
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 23 × 683)See below for interesting mathematical facts about the number 138741888 from the Numbermatics database.
Names of 138741888
- Cardinal: 138741888 can be written as One hundred thirty-eight million, seven hundred forty-one thousand, eight hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38741888 × 108
Factors of 138741888
Divisors of 138741888
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 529 552 683 736 1058 1104 1366 1472 1587 2049 2116 2208 2732 2944 3174 4098 4232 4416 5464 6348 8196 8464 8832 10928 12696 15709 16392 16928 21856 25392 31418 32784 33856 43712 47127 50784 62836 65568 67712 87424 94254 101568 125672 131136 188508 203136 251344 262272 361307 377016 502688 722614 754032 1005376 1083921 1445228 1508064 2010752 2167842 2890456 3016128 4335684 5780912 6032256 8671368 11561824 17342736 23123648 34685472 46247296 69370944 138741888
- Sum of all divisors σ(n): 385817040
- Sum of proper divisors (its aliquot sum) s(n): 247075152
- 138741888 is an abundant number, because the sum of its proper divisors (247075152) is greater than itself. Its abundance is 108333264
Bases of 138741888
- Binary: 10000100010100001000100000002
- Hexadecimal: 0x8450880
- Base-36: 2ALPXC
Squares and roots of 138741888
- 138741888 squared (1387418882) is 19249311485804544
- 138741888 cubed (1387418883) is 2670685818240607633539072
-
The
square root of 138741888 is 11778.8746491335 -
The
cube root of 138741888 is 517.6893134523
Scales and comparisons
How big is 138741888?- 138,741,888 seconds is equal to 4 years, 21 weeks, 2 days, 19 hours, 24 minutes, 48 seconds.
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To count from 1 to 138,741,888 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 138741888 cubic inches would be around 43.1 feet tall.
Recreational maths with 138741888
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The information we have on file for 138741888 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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