138417984
138,417,984 is an even composite number composed of three prime numbers multiplied together.
138417984 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of seventy divisors.
Prime factorization of 138417984:
26 × 34 × 26701
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 26701)See below for interesting mathematical facts about the number 138417984 from the Numbermatics database.
Names of 138417984
- Cardinal: 138417984 can be written as One hundred thirty-eight million, four hundred seventeen thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38417984 × 108
Factors of 138417984
Divisors of 138417984
- Number of divisors d(n): 70
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 26701 53402 80103 106804 160206 213608 240309 320412 427216 480618 640824 720927 854432 961236 1281648 1441854 1708864 1922472 2162781 2563296 2883708 3844944 4325562 5126592 5767416 7689888 8651124 11534832 15379776 17302248 23069664 34604496 46139328 69208992 138417984
- Sum of all divisors σ(n): 410329634
- Sum of proper divisors (its aliquot sum) s(n): 271911650
- 138417984 is an abundant number, because the sum of its proper divisors (271911650) is greater than itself. Its abundance is 133493666
Bases of 138417984
- Binary: 10000100000000010111010000002
- Hexadecimal: 0x8401740
- Base-36: 2AES00
Squares and roots of 138417984
- 138417984 squared (1384179842) is 19159538294624256
- 138417984 cubed (1384179843) is 2652024665112687553019904
-
The
square root of 138417984 is 11765.1172539843 -
The
cube root of 138417984 is 517.2861372137
Scales and comparisons
How big is 138417984?- 138,417,984 seconds is equal to 4 years, 20 weeks, 6 days, 1 hour, 26 minutes, 24 seconds.
-
To count from 1 to 138,417,984 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 138417984 cubic inches would be around 43.1 feet tall.
Recreational maths with 138417984
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