442134368
442,134,368 is an even composite number composed of five prime numbers multiplied together.
What does the number 442134368 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
442134368 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 442134368:
25 × 13 × 17 × 101 × 619
(2 × 2 × 2 × 2 × 2 × 13 × 17 × 101 × 619)See below for interesting mathematical facts about the number 442134368 from the Numbermatics database.
Names of 442134368
- Cardinal: 442134368 can be written as Four hundred forty-two million, one hundred thirty-four thousand, three hundred sixty-eight.
Scientific notation
- Scientific notation: 4.42134368 × 108
Factors of 442134368
Divisors of 442134368
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 52 68 101 104 136 202 208 221 272 404 416 442 544 619 808 884 1238 1313 1616 1717 1768 2476 2626 3232 3434 3536 4952 5252 6868 7072 8047 9904 10504 10523 13736 16094 19808 21008 21046 22321 27472 32188 42016 42092 44642 54944 62519 64376 84184 89284 125038 128752 136799 168368 178568 250076 257504 273598 336736 357136 500152 547196 714272 812747 1000304 1062823 1094392 1625494 2000608 2125646 2188784 3250988 4251292 4377568 6501976 8502584 13003952 13816699 17005168 26007904 27633398 34010336 55266796 110533592 221067184 442134368
- Sum of all divisors σ(n): 1003998240
- Sum of proper divisors (its aliquot sum) s(n): 561863872
- 442134368 is an abundant number, because the sum of its proper divisors (561863872) is greater than itself. Its abundance is 119729504
Bases of 442134368
- Binary: 110100101101001101111011000002
- Hexadecimal: 0x1A5A6F60
- Base-36: 7B8H28
Squares and roots of 442134368
- 442134368 squared (4421343682) is 195482799366759424
- 442134368 cubed (4421343683) is 86429663952892978138284032
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The
square root of 442134368 is 21026.9914157969 -
The
cube root of 442134368 is 761.8183422597
Scales and comparisons
How big is 442134368?- 442,134,368 seconds is equal to 14 years, 3 weeks, 7 hours, 6 minutes, 8 seconds.
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To count from 1 to 442,134,368 would take you about twenty-one 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 442134368 cubic inches would be around 63.5 feet tall.
Recreational maths with 442134368
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The information we have on file for 442134368 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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