42678144
42,678,144 is an even composite number composed of four prime numbers multiplied together.
42678144 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 42678144:
27 × 33 × 53 × 233
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 53 × 233)See below for interesting mathematical facts about the number 42678144 from the Numbermatics database.
Names of 42678144
- Cardinal: 42678144 can be written as Forty-two million, six hundred seventy-eight thousand, one hundred forty-four.
Scientific notation
- Scientific notation: 4.2678144 × 107
Factors of 42678144
Divisors of 42678144
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 233 288 318 384 424 432 466 477 576 636 699 848 864 932 954 1152 1272 1398 1431 1696 1728 1864 1908 2097 2544 2796 2862 3392 3456 3728 3816 4194 5088 5592 5724 6291 6784 7456 7632 8388 10176 11184 11448 12349 12582 14912 15264 16776 20352 22368 22896 24698 25164 29824 30528 33552 37047 44736 45792 49396 50328 61056 67104 74094 89472 91584 98792 100656 111141 134208 148188 183168 197584 201312 222282 268416 296376 333423 395168 402624 444564 592752 666846 790336 805248 889128 1185504 1333692 1580672 1778256 2371008 2667384 3556512 4742016 5334768 7113024 10669536 14226048 21339072 42678144
- Sum of all divisors σ(n): 128887200
- Sum of proper divisors (its aliquot sum) s(n): 86209056
- 42678144 is an abundant number, because the sum of its proper divisors (86209056) is greater than itself. Its abundance is 43530912
Bases of 42678144
- Binary: 101000101100110111100000002
- Hexadecimal: 0x28B3780
- Base-36: PEQO0
Squares and roots of 42678144
- 42678144 squared (426781442) is 1821423975284736
- 42678144 cubed (426781443) is 77734994702254404009984
-
The
square root of 42678144 is 6532.8511386685 -
The
cube root of 42678144 is 349.4635155049
Scales and comparisons
How big is 42678144?- 42,678,144 seconds is equal to 1 year, 18 weeks, 3 days, 23 hours, 2 minutes, 24 seconds.
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To count from 1 to 42,678,144 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 42678144 cubic inches would be around 29.1 feet tall.
Recreational maths with 42678144
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The information we have on file for 42678144 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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