42142048
42,142,048 is an even composite number composed of five prime numbers multiplied together.
What does the number 42142048 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
42142048 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 42142048:
25 × 13 × 17 × 59 × 101
(2 × 2 × 2 × 2 × 2 × 13 × 17 × 59 × 101)See below for interesting mathematical facts about the number 42142048 from the Numbermatics database.
Names of 42142048
- Cardinal: 42142048 can be written as Forty-two million, one hundred forty-two thousand and forty-eight.
Scientific notation
- Scientific notation: 4.2142048 × 107
Factors of 42142048
Divisors of 42142048
- Number of divisors d(n): 96
-
Complete list of divisors:
1 2 4 8 13 16 17 26 32 34 52 59 68 101 104 118 136 202 208 221 236 272 404 416 442 472 544 767 808 884 944 1003 1313 1534 1616 1717 1768 1888 2006 2626 3068 3232 3434 3536 4012 5252 5959 6136 6868 7072 8024 10504 11918 12272 13039 13736 16048 21008 22321 23836 24544 26078 27472 32096 42016 44642 47672 52156 54944 77467 89284 95344 101303 104312 154934 178568 190688 202606 208624 309868 357136 405212 417248 619736 714272 810424 1239472 1316939 1620848 2478944 2633878 3241696 5267756 10535512 21071024 42142048
- Sum of all divisors σ(n): 97161120
- Sum of proper divisors (its aliquot sum) s(n): 55019072
- 42142048 is an abundant number, because the sum of its proper divisors (55019072) is greater than itself. Its abundance is 12877024
Bases of 42142048
- Binary: 101000001100001001011000002
- Hexadecimal: 0x2830960
- Base-36: P390G
Squares and roots of 42142048
- 42142048 squared (421420482) is 1775952209634304
- 42142048 cubed (421420483) is 74842263264114901614592
-
The
square root of 42142048 is 6491.6906888729 -
The
cube root of 42142048 is 347.9940986359
Scales and comparisons
How big is 42142048?- 42,142,048 seconds is equal to 1 year, 17 weeks, 4 days, 18 hours, 7 minutes, 28 seconds.
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To count from 1 to 42,142,048 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 42142048 cubic inches would be around 29 feet tall.
Recreational maths with 42142048
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The information we have on file for 42142048 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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