442385385
442,385,385 is an odd composite number composed of five prime numbers multiplied together.
442385385 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 442385385:
3 × 5 × 132 × 472 × 79
(3 × 5 × 13 × 13 × 47 × 47 × 79)See below for interesting mathematical facts about the number 442385385 from the Numbermatics database.
Names of 442385385
- Cardinal: 442385385 can be written as Four hundred forty-two million, three hundred eighty-five thousand, three hundred eighty-five.
Scientific notation
- Scientific notation: 4.42385385 × 108
Factors of 442385385
Divisors of 442385385
- Number of divisors d(n): 72
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Complete list of divisors:
1 3 5 13 15 39 47 65 79 141 169 195 235 237 395 507 611 705 845 1027 1185 1833 2209 2535 3055 3081 3713 5135 6627 7943 9165 11045 11139 13351 15405 18565 23829 28717 33135 39715 40053 48269 55695 66755 86151 119145 143585 144807 174511 200265 241345 373321 430755 523533 627497 724035 872555 1119963 1866605 1882491 2268643 2617665 3137485 5599815 6805929 9412455 11343215 29492359 34029645 88477077 147461795 442385385
- Sum of all divisors σ(n): 793019520
- Sum of proper divisors (its aliquot sum) s(n): 350634135
- 442385385 is a deficient number, because the sum of its proper divisors (350634135) is less than itself. Its deficiency is 91751250
Bases of 442385385
- Binary: 110100101111001000011111010012
- Hexadecimal: 0x1A5E43E9
- Base-36: 7BDUQX
Squares and roots of 442385385
- 442385385 squared (4423853852) is 195704828861598225
- 442385385 cubed (4423853853) is 86576956062297242481941625
-
The
square root of 442385385 is 21032.9594921875 -
The
cube root of 442385385 is 761.9624863559
Scales and comparisons
How big is 442385385?- 442,385,385 seconds is equal to 14 years, 3 weeks, 3 days, 4 hours, 49 minutes, 45 seconds.
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To count from 1 to 442,385,385 would take you about twenty-one 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 442385385 cubic inches would be around 63.5 feet tall.
Recreational maths with 442385385
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