42720768
42,720,768 is an even composite number composed of four prime numbers multiplied together.
42720768 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 42720768:
29 × 32 × 73 × 127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 73 × 127)See below for interesting mathematical facts about the number 42720768 from the Numbermatics database.
Names of 42720768
- Cardinal: 42720768 can be written as Forty-two million, seven hundred twenty thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 4.2720768 × 107
Factors of 42720768
Divisors of 42720768
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 127 128 144 146 192 219 254 256 288 292 381 384 438 508 512 576 584 657 762 768 876 1016 1143 1152 1168 1314 1524 1536 1752 2032 2286 2304 2336 2628 3048 3504 4064 4572 4608 4672 5256 6096 7008 8128 9144 9271 9344 10512 12192 14016 16256 18288 18542 18688 21024 24384 27813 28032 32512 36576 37084 37376 42048 48768 55626 56064 65024 73152 74168 83439 84096 97536 111252 112128 146304 148336 166878 168192 195072 222504 292608 296672 333756 336384 445008 585216 593344 667512 890016 1186688 1335024 1780032 2373376 2670048 3560064 4746752 5340096 7120128 10680192 14240256 21360384 42720768
- Sum of all divisors σ(n): 125968128
- Sum of proper divisors (its aliquot sum) s(n): 83247360
- 42720768 is an abundant number, because the sum of its proper divisors (83247360) is greater than itself. Its abundance is 40526592
Bases of 42720768
- Binary: 101000101111011110000000002
- Hexadecimal: 0x28BDE00
- Base-36: PFNK0
Squares and roots of 42720768
- 42720768 squared (427207682) is 1825064018509824
- 42720768 cubed (427207683) is 77968136519905896824832
-
The
square root of 42720768 is 6536.1126061291 -
The
cube root of 42720768 is 349.5798168507
Scales and comparisons
How big is 42720768?- 42,720,768 seconds is equal to 1 year, 18 weeks, 4 days, 10 hours, 52 minutes, 48 seconds.
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To count from 1 to 42,720,768 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 42720768 cubic inches would be around 29.1 feet tall.
Recreational maths with 42720768
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The information we have on file for 42720768 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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