138742912
138,742,912 is an even composite number composed of four prime numbers multiplied together.
138742912 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 138742912:
27 × 72 × 11 × 2011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 2011)See below for interesting mathematical facts about the number 138742912 from the Numbermatics database.
Names of 138742912
- Cardinal: 138742912 can be written as One hundred thirty-eight million, seven hundred forty-two thousand, nine hundred twelve.
Scientific notation
- Scientific notation: 1.38742912 × 108
Factors of 138742912
Divisors of 138742912
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 448 539 616 704 784 896 1078 1232 1408 1568 2011 2156 2464 3136 4022 4312 4928 6272 8044 8624 9856 14077 16088 17248 22121 28154 32176 34496 44242 56308 64352 68992 88484 98539 112616 128704 154847 176968 197078 225232 257408 309694 353936 394156 450464 619388 707872 788312 900928 1083929 1238776 1415744 1576624 1801856 2167858 2477552 2831488 3153248 4335716 4955104 6306496 8671432 9910208 12612992 17342864 19820416 34685728 69371456 138742912
- Sum of all divisors σ(n): 350933040
- Sum of proper divisors (its aliquot sum) s(n): 212190128
- 138742912 is an abundant number, because the sum of its proper divisors (212190128) is greater than itself. Its abundance is 73447216
Bases of 138742912
- Binary: 10000100010100001100100000002
- Hexadecimal: 0x8450C80
- Base-36: 2ALQPS
Squares and roots of 138742912
- 138742912 squared (1387429122) is 19249595630239744
- 138742912 cubed (1387429123) is 2670744952561937340694528
-
The
square root of 138742912 is 11778.9181167033 -
The
cube root of 138742912 is 517.6905870705
Scales and comparisons
How big is 138742912?- 138,742,912 seconds is equal to 4 years, 21 weeks, 2 days, 19 hours, 41 minutes, 52 seconds.
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To count from 1 to 138,742,912 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 138742912 cubic inches would be around 43.1 feet tall.
Recreational maths with 138742912
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