42084672
42,084,672 is an even composite number composed of five prime numbers multiplied together.
What does the number 42084672 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 112 divisors.
42084672 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 42084672:
26 × 3 × 7 × 173 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 173 × 181)See below for interesting mathematical facts about the number 42084672 from the Numbermatics database.
Names of 42084672
- Cardinal: 42084672 can be written as Forty-two million, eighty-four thousand, six hundred seventy-two.
Scientific notation
- Scientific notation: 4.2084672 × 107
Factors of 42084672
Divisors of 42084672
- Number of divisors d(n): 112
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Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 181 192 224 336 346 362 448 519 543 672 692 724 1038 1086 1211 1267 1344 1384 1448 2076 2172 2422 2534 2768 2896 3633 3801 4152 4344 4844 5068 5536 5792 7266 7602 8304 8688 9688 10136 11072 11584 14532 15204 16608 17376 19376 20272 29064 30408 31313 33216 34752 38752 40544 58128 60816 62626 77504 81088 93939 116256 121632 125252 187878 219191 232512 243264 250504 375756 438382 501008 657573 751512 876764 1002016 1315146 1503024 1753528 2004032 2630292 3006048 3507056 5260584 6012096 7014112 10521168 14028224 21042336 42084672
- Sum of all divisors σ(n): 128698752
- Sum of proper divisors (its aliquot sum) s(n): 86614080
- 42084672 is an abundant number, because the sum of its proper divisors (86614080) is greater than itself. Its abundance is 44529408
Bases of 42084672
- Binary: 101000001000101001010000002
- Hexadecimal: 0x2822940
- Base-36: P20QO
Squares and roots of 42084672
- 42084672 squared (420846722) is 1771119617347584
- 42084672 cubed (420846723) is 74536988168838582632448
-
The
square root of 42084672 is 6487.2699959227 -
The
cube root of 42084672 is 347.8360966829
Scales and comparisons
How big is 42084672?- 42,084,672 seconds is equal to 1 year, 17 weeks, 4 days, 2 hours, 11 minutes, 12 seconds.
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To count from 1 to 42,084,672 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 42084672 cubic inches would be around 29 feet tall.
Recreational maths with 42084672
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The information we have on file for 42084672 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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