138149424
138,149,424 is an even composite number composed of four prime numbers multiplied together.
138149424 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 138149424:
24 × 32 × 73 × 2797
(2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 7 × 2797)See below for interesting mathematical facts about the number 138149424 from the Numbermatics database.
Names of 138149424
- Cardinal: 138149424 can be written as One hundred thirty-eight million, one hundred forty-nine thousand, four hundred twenty-four.
Scientific notation
- Scientific notation: 1.38149424 × 108
Factors of 138149424
Divisors of 138149424
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 2797 3087 3528 4116 5488 5594 6174 7056 8232 8391 11188 12348 16464 16782 19579 22376 24696 25173 33564 39158 44752 49392 50346 58737 67128 78316 100692 117474 134256 137053 156632 176211 201384 234948 274106 313264 352422 402768 411159 469896 548212 704844 822318 939792 959371 1096424 1233477 1409688 1644636 1918742 2192848 2466954 2819376 2878113 3289272 3837484 4933908 5756226 6578544 7674968 8634339 9867816 11512452 15349936 17268678 19735632 23024904 34537356 46049808 69074712 138149424
- Sum of all divisors σ(n): 451037600
- Sum of proper divisors (its aliquot sum) s(n): 312888176
- 138149424 is an abundant number, because the sum of its proper divisors (312888176) is greater than itself. Its abundance is 174738752
Bases of 138149424
- Binary: 10000011101111111110001100002
- Hexadecimal: 0x83BFE30
- Base-36: 2A90S0
Squares and roots of 138149424
- 138149424 squared (1381494242) is 19085263351531776
- 138149424 cubed (1381494243) is 2636618138902424372097024
-
The
square root of 138149424 is 11753.6983115955 -
The
cube root of 138149424 is 516.9513726499
Scales and comparisons
How big is 138149424?- 138,149,424 seconds is equal to 4 years, 20 weeks, 2 days, 22 hours, 50 minutes, 24 seconds.
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To count from 1 to 138,149,424 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 138149424 cubic inches would be around 43.1 feet tall.
Recreational maths with 138149424
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