138129984
138,129,984 is an even composite number composed of four prime numbers multiplied together.
138129984 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 138129984:
26 × 32 × 41 × 5849
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 41 × 5849)See below for interesting mathematical facts about the number 138129984 from the Numbermatics database.
Names of 138129984
- Cardinal: 138129984 can be written as One hundred thirty-eight million, one hundred twenty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38129984 × 108
Factors of 138129984
Divisors of 138129984
- Number of divisors d(n): 84
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5849 5904 7872 11698 11808 17547 23396 23616 35094 46792 52641 70188 93584 105282 140376 187168 210564 239809 280752 374336 421128 479618 561504 719427 842256 959236 1123008 1438854 1684512 1918472 2158281 2877708 3369024 3836944 4316562 5755416 7673888 8633124 11510832 15347776 17266248 23021664 34532496 46043328 69064992 138129984
- Sum of all divisors σ(n): 405650700
- Sum of proper divisors (its aliquot sum) s(n): 267520716
- 138129984 is an abundant number, because the sum of its proper divisors (267520716) is greater than itself. Its abundance is 129390732
Bases of 138129984
- Binary: 10000011101110110010010000002
- Hexadecimal: 0x83BB240
- Base-36: 2A8LS0
Squares and roots of 138129984
- 138129984 squared (1381299842) is 19079892479840256
- 138129984 cubed (1381299843) is 2635505242962054883835904
-
The
square root of 138129984 is 11752.8713087483 -
The
cube root of 138129984 is 516.9271235291
Scales and comparisons
How big is 138129984?- 138,129,984 seconds is equal to 4 years, 20 weeks, 2 days, 17 hours, 26 minutes, 24 seconds.
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To count from 1 to 138,129,984 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 138129984 cubic inches would be around 43.1 feet tall.
Recreational maths with 138129984
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