42648120
42,648,120 is an even composite number composed of four prime numbers multiplied together.
What does the number 42648120 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 80 divisors.
42648120 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 42648120:
23 × 34 × 5 × 13163
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13163)See below for interesting mathematical facts about the number 42648120 from the Numbermatics database.
Names of 42648120
- Cardinal: 42648120 can be written as Forty-two million, six hundred forty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 4.264812 × 107
Factors of 42648120
Divisors of 42648120
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 13163 26326 39489 52652 65815 78978 105304 118467 131630 157956 197445 236934 263260 315912 355401 394890 473868 526520 592335 710802 789780 947736 1066203 1184670 1421604 1579560 1777005 2132406 2369340 2843208 3554010 4264812 4738680 5331015 7108020 8529624 10662030 14216040 21324060 42648120
- Sum of all divisors σ(n): 143355960
- Sum of proper divisors (its aliquot sum) s(n): 100707840
- 42648120 is an abundant number, because the sum of its proper divisors (100707840) is greater than itself. Its abundance is 58059720
Bases of 42648120
- Binary: 101000101011000010001110002
- Hexadecimal: 0x28AC238
- Base-36: PE3I0
Squares and roots of 42648120
- 42648120 squared (426481202) is 1818862139534400
- 42648120 cubed (426481203) is 77571050790319835328000
-
The
square root of 42648120 is 6530.5528096785 -
The
cube root of 42648120 is 349.3815472887
Scales and comparisons
How big is 42648120?- 42,648,120 seconds is equal to 1 year, 18 weeks, 3 days, 14 hours, 42 minutes.
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To count from 1 to 42,648,120 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 42648120 cubic inches would be around 29.1 feet tall.
Recreational maths with 42648120
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The information we have on file for 42648120 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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