135042138
135,042,138 is an even composite number composed of six prime numbers multiplied together.
135042138 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 135042138:
2 × 32 × 72 × 11 × 31 × 449
(2 × 3 × 3 × 7 × 7 × 11 × 31 × 449)See below for interesting mathematical facts about the number 135042138 from the Numbermatics database.
Names of 135042138
- Cardinal: 135042138 can be written as One hundred thirty-five million, forty-two thousand, one hundred thirty-eight.
Scientific notation
- Scientific notation: 1.35042138 × 108
Factors of 135042138
Divisors of 135042138
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 9 11 14 18 21 22 31 33 42 49 62 63 66 77 93 98 99 126 147 154 186 198 217 231 279 294 341 434 441 449 462 539 558 651 682 693 882 898 1023 1078 1302 1347 1386 1519 1617 1953 2046 2387 2694 3038 3069 3143 3234 3906 4041 4557 4774 4851 4939 6138 6286 7161 8082 9114 9429 9702 9878 13671 13919 14322 14817 16709 18858 21483 22001 27342 27838 28287 29634 33418 34573 41757 42966 44002 44451 50127 56574 66003 69146 83514 88902 97433 100254 103719 125271 132006 150381 153109 194866 198009 207438 242011 250542 292299 300762 306218 311157 396018 459327 484022 584598 622314 682031 726033 876897 918654 1071763 1364062 1377981 1452066 1753794 2046093 2143526 2178099 2755962 3215289 4092186 4356198 6138279 6430578 7502341 9645867 12276558 15004682 19291734 22507023 45014046 67521069 135042138
- Sum of all divisors σ(n): 384134400
- Sum of proper divisors (its aliquot sum) s(n): 249092262
- 135042138 is an abundant number, because the sum of its proper divisors (249092262) is greater than itself. Its abundance is 114050124
Bases of 135042138
- Binary: 10000000110010010100010110102
- Hexadecimal: 0x80C945A
- Base-36: 28EF6I
Squares and roots of 135042138
- 135042138 squared (1350421382) is 18236379035611044
- 135042138 cubed (1350421383) is 2462679614347293518172072
-
The
square root of 135042138 is 11620.7632279467 -
The
cube root of 135042138 is 513.0461524999
Scales and comparisons
How big is 135042138?- 135,042,138 seconds is equal to 4 years, 15 weeks, 1 day, 23 hours, 42 minutes, 18 seconds.
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To count from 1 to 135,042,138 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 135042138 cubic inches would be around 42.8 feet tall.
Recreational maths with 135042138
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