135630144
135,630,144 is an even composite number composed of five prime numbers multiplied together.
135630144 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 135630144:
26 × 32 × 13 × 59 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 13 × 59 × 307)See below for interesting mathematical facts about the number 135630144 from the Numbermatics database.
Names of 135630144
- Cardinal: 135630144 can be written as One hundred thirty-five million, six hundred thirty thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 1.35630144 × 108
Factors of 135630144
Divisors of 135630144
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 59 64 72 78 96 104 117 118 144 156 177 192 208 234 236 288 307 312 354 416 468 472 531 576 614 624 708 767 832 921 936 944 1062 1228 1248 1416 1534 1842 1872 1888 2124 2301 2456 2496 2763 2832 3068 3684 3744 3776 3991 4248 4602 4912 5526 5664 6136 6903 7368 7488 7982 8496 9204 9824 11052 11328 11973 12272 13806 14736 15964 16992 18113 18408 19648 22104 23946 24544 27612 29472 31928 33984 35919 36226 36816 44208 47892 49088 54339 55224 58944 63856 71838 72452 73632 88416 95784 108678 110448 127712 143676 144904 147264 163017 176832 191568 217356 220896 235469 255424 287352 289808 326034 383136 434712 441792 470938 574704 579616 652068 706407 766272 869424 941876 1149408 1159232 1304136 1412814 1738848 1883752 2119221 2298816 2608272 2825628 3477696 3767504 4238442 5216544 5651256 7535008 8476884 10433088 11302512 15070016 16953768 22605024 33907536 45210048 67815072 135630144
- Sum of all divisors σ(n): 427146720
- Sum of proper divisors (its aliquot sum) s(n): 291516576
- 135630144 is an abundant number, because the sum of its proper divisors (291516576) is greater than itself. Its abundance is 155886432
Bases of 135630144
- Binary: 10000001010110001101010000002
- Hexadecimal: 0x8158D40
- Base-36: 28R0W0
Squares and roots of 135630144
- 135630144 squared (1356301442) is 18395535961460736
- 135630144 cubed (1356301443) is 2494989191410098074025984
-
The
square root of 135630144 is 11646.0355486319 -
The
cube root of 135630144 is 513.7897165027
Scales and comparisons
How big is 135630144?- 135,630,144 seconds is equal to 4 years, 16 weeks, 1 day, 19 hours, 2 minutes, 24 seconds.
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To count from 1 to 135,630,144 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 135630144 cubic inches would be around 42.8 feet tall.
Recreational maths with 135630144
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The information we have on file for 135630144 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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