42168672
42,168,672 is an even composite number composed of five prime numbers multiplied together.
42168672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 42168672:
25 × 32 × 7 × 13 × 1609
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 1609)See below for interesting mathematical facts about the number 42168672 from the Numbermatics database.
Names of 42168672
- Cardinal: 42168672 can be written as Forty-two million, one hundred sixty-eight thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.2168672 × 107
Factors of 42168672
Divisors of 42168672
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1609 1638 1872 2016 2184 2912 3218 3276 3744 4368 4827 6436 6552 8736 9654 11263 12872 13104 14481 19308 20917 22526 25744 26208 28962 33789 38616 41834 45052 51488 57924 62751 67578 77232 83668 90104 101367 115848 125502 135156 146419 154464 167336 180208 188253 202734 231696 251004 270312 292838 334672 360416 376506 405468 439257 463392 502008 540624 585676 669344 753012 810936 878514 1004016 1081248 1171352 1317771 1506024 1621872 1757028 2008032 2342704 2635542 3012048 3243744 3514056 4685408 5271084 6024096 7028112 10542168 14056224 21084336 42168672
- Sum of all divisors σ(n): 147682080
- Sum of proper divisors (its aliquot sum) s(n): 105513408
- 42168672 is an abundant number, because the sum of its proper divisors (105513408) is greater than itself. Its abundance is 63344736
Bases of 42168672
- Binary: 101000001101110001011000002
- Hexadecimal: 0x2837160
- Base-36: P3TK0
Squares and roots of 42168672
- 42168672 squared (421686722) is 1778196898243584
- 42168672 cubed (421686723) is 74984201753451069800448
-
The
square root of 42168672 is 6493.7409865193 -
The
cube root of 42168672 is 348.0673670611
Scales and comparisons
How big is 42168672?- 42,168,672 seconds is equal to 1 year, 17 weeks, 5 days, 1 hour, 31 minutes, 12 seconds.
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To count from 1 to 42,168,672 would take you about two 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 42168672 cubic inches would be around 29 feet tall.
Recreational maths with 42168672
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The information we have on file for 42168672 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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