42768128
42,768,128 is an even composite number composed of four prime numbers multiplied together.
42768128 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 42768128:
28 × 13 × 71 × 181
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 13 × 71 × 181)See below for interesting mathematical facts about the number 42768128 from the Numbermatics database.
Names of 42768128
- Cardinal: 42768128 can be written as Forty-two million, seven hundred sixty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 4.2768128 × 107
Factors of 42768128
Divisors of 42768128
- Number of divisors d(n): 72
-
Complete list of divisors:
1 2 4 8 13 16 26 32 52 64 71 104 128 142 181 208 256 284 362 416 568 724 832 923 1136 1448 1664 1846 2272 2353 2896 3328 3692 4544 4706 5792 7384 9088 9412 11584 12851 14768 18176 18824 23168 25702 29536 37648 46336 51404 59072 75296 102808 118144 150592 167063 205616 236288 301184 334126 411232 602368 668252 822464 1336504 1644928 2673008 3289856 5346016 10692032 21384064 42768128
- Sum of all divisors σ(n): 93746016
- Sum of proper divisors (its aliquot sum) s(n): 50977888
- 42768128 is an abundant number, because the sum of its proper divisors (50977888) is greater than itself. Its abundance is 8209760
Bases of 42768128
- Binary: 101000110010010111000000002
- Hexadecimal: 0x28C9700
- Base-36: PGO3K
Squares and roots of 42768128
- 42768128 squared (427681282) is 1829112772624384
- 42768128 cubed (427681283) is 78227729186034550833152
-
The
square root of 42768128 is 6539.7345511879 -
The
cube root of 42768128 is 349.7089498749
Scales and comparisons
How big is 42768128?- 42,768,128 seconds is equal to 1 year, 18 weeks, 5 days, 2 minutes, 8 seconds.
-
To count from 1 to 42,768,128 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 42768128 cubic inches would be around 29.1 feet tall.
Recreational maths with 42768128
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