138948992
138,948,992 is an even composite number composed of five prime numbers multiplied together.
138948992 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 138948992:
27 × 7 × 13 × 79 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 79 × 151)See below for interesting mathematical facts about the number 138948992 from the Numbermatics database.
Names of 138948992
- Cardinal: 138948992 can be written as One hundred thirty-eight million, nine hundred forty-eight thousand, nine hundred ninety-two.
Scientific notation
- Scientific notation: 1.38948992 × 108
Factors of 138948992
Divisors of 138948992
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 52 56 64 79 91 104 112 128 151 158 182 208 224 302 316 364 416 448 553 604 632 728 832 896 1027 1057 1106 1208 1264 1456 1664 1963 2054 2114 2212 2416 2528 2912 3926 4108 4228 4424 4832 5056 5824 7189 7852 8216 8456 8848 9664 10112 11648 11929 13741 14378 15704 16432 16912 17696 19328 23858 27482 28756 31408 32864 33824 35392 47716 54964 57512 62816 65728 67648 70784 83503 95432 109928 115024 125632 131456 135296 155077 167006 190864 219856 230048 251264 310154 334012 381728 439712 460096 620308 668024 763456 879424 920192 1085539 1240616 1336048 1526912 1758848 2171078 2481232 2672096 4342156 4962464 5344192 8684312 9924928 10688384 17368624 19849856 34737248 69474496 138948992
- Sum of all divisors σ(n): 347289600
- Sum of proper divisors (its aliquot sum) s(n): 208340608
- 138948992 is an abundant number, because the sum of its proper divisors (208340608) is greater than itself. Its abundance is 69391616
Bases of 138948992
- Binary: 10000100100000110001100000002
- Hexadecimal: 0x8483180
- Base-36: 2AQ5Q8
Squares and roots of 138948992
- 138948992 squared (1389489922) is 19306822377816064
- 138948992 cubed (1389489923) is 2682663508120585254207488
-
The
square root of 138948992 is 11787.6627030127 -
The
cube root of 138948992 is 517.9467752891
Scales and comparisons
How big is 138948992?- 138,948,992 seconds is equal to 4 years, 21 weeks, 5 days, 4 hours, 56 minutes, 32 seconds.
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To count from 1 to 138,948,992 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 138948992 cubic inches would be around 43.2 feet tall.
Recreational maths with 138948992
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