138426624
138,426,624 is an even composite number composed of four prime numbers multiplied together.
138426624 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 138426624:
28 × 33 × 7 × 2861
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 2861)See below for interesting mathematical facts about the number 138426624 from the Numbermatics database.
Names of 138426624
- Cardinal: 138426624 can be written as One hundred thirty-eight million, four hundred twenty-six thousand, six hundred twenty-four.
Scientific notation
- Scientific notation: 1.38426624 × 108
Factors of 138426624
Divisors of 138426624
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 2861 3024 3456 4032 5376 5722 6048 6912 8064 8583 11444 12096 16128 17166 20027 22888 24192 25749 34332 40054 45776 48384 51498 60081 68664 77247 80108 91552 102996 120162 137328 154494 160216 180243 183104 205992 240324 274656 308988 320432 360486 366208 411984 480648 540729 549312 617976 640864 720972 732416 823968 961296 1081458 1098624 1235952 1281728 1441944 1647936 1922592 2162916 2197248 2471904 2563456 2883888 3295872 3845184 4325832 4943808 5126912 5767776 6591744 7690368 8651664 9887616 11535552 15380736 17303328 19775232 23071104 34606656 46142208 69213312 138426624
- Sum of all divisors σ(n): 467994240
- Sum of proper divisors (its aliquot sum) s(n): 329567616
- 138426624 is an abundant number, because the sum of its proper divisors (329567616) is greater than itself. Its abundance is 191140992
Bases of 138426624
- Binary: 10000100000000111001000000002
- Hexadecimal: 0x8403900
- Base-36: 2AEYO0
Squares and roots of 138426624
- 138426624 squared (1384266242) is 19161930232037376
- 138426624 cubed (1384266243) is 2652521311344470601498624
-
The
square root of 138426624 is 11765.4844354153 -
The
cube root of 138426624 is 517.2968999271
Scales and comparisons
How big is 138426624?- 138,426,624 seconds is equal to 4 years, 20 weeks, 6 days, 3 hours, 50 minutes, 24 seconds.
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To count from 1 to 138,426,624 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 138426624 cubic inches would be around 43.1 feet tall.
Recreational maths with 138426624
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The information we have on file for 138426624 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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