138489984
138,489,984 is an even composite number composed of four prime numbers multiplied together.
138489984 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 138489984:
27 × 32 × 239 × 503
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 239 × 503)See below for interesting mathematical facts about the number 138489984 from the Numbermatics database.
Names of 138489984
- Cardinal: 138489984 can be written as One hundred thirty-eight million, four hundred eighty-nine thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38489984 × 108
Factors of 138489984
Divisors of 138489984
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 239 288 384 478 503 576 717 956 1006 1152 1434 1509 1912 2012 2151 2868 3018 3824 4024 4302 4527 5736 6036 7648 8048 8604 9054 11472 12072 15296 16096 17208 18108 22944 24144 30592 32192 34416 36216 45888 48288 64384 68832 72432 91776 96576 120217 137664 144864 193152 240434 275328 289728 360651 480868 579456 721302 961736 1081953 1442604 1923472 2163906 2885208 3846944 4327812 5770416 7693888 8655624 11540832 15387776 17311248 23081664 34622496 46163328 69244992 138489984
- Sum of all divisors σ(n): 400982400
- Sum of proper divisors (its aliquot sum) s(n): 262492416
- 138489984 is an abundant number, because the sum of its proper divisors (262492416) is greater than itself. Its abundance is 124002432
Bases of 138489984
- Binary: 10000100000100110000100000002
- Hexadecimal: 0x8413080
- Base-36: 2AGBK0
Squares and roots of 138489984
- 138489984 squared (1384899842) is 19179475668320256
- 138489984 cubed (1384899843) is 2656165278434061560315904
-
The
square root of 138489984 is 11768.1767491827 -
The
cube root of 138489984 is 517.3758128107
Scales and comparisons
How big is 138489984?- 138,489,984 seconds is equal to 4 years, 20 weeks, 6 days, 21 hours, 26 minutes, 24 seconds.
-
To count from 1 to 138,489,984 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 138489984 cubic inches would be around 43.1 feet tall.
Recreational maths with 138489984
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