442139082
442,139,082 is an even composite number composed of six prime numbers multiplied together.
442139082 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 442139082:
2 × 3 × 7 × 112 × 192 × 241
(2 × 3 × 7 × 11 × 11 × 19 × 19 × 241)See below for interesting mathematical facts about the number 442139082 from the Numbermatics database.
Names of 442139082
- Cardinal: 442139082 can be written as Four hundred forty-two million, one hundred thirty-nine thousand and eighty-two.
Scientific notation
- Scientific notation: 4.42139082 × 108
Factors of 442139082
Divisors of 442139082
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 7 11 14 19 21 22 33 38 42 57 66 77 114 121 133 154 209 231 241 242 266 361 363 399 418 462 482 627 722 723 726 798 847 1083 1254 1446 1463 1687 1694 2166 2299 2527 2541 2651 2926 3374 3971 4389 4579 4598 5054 5061 5082 5302 6897 7581 7942 7953 8778 9158 10122 11913 13737 13794 15162 15906 16093 18557 23826 27474 27797 29161 32053 32186 37114 43681 48279 50369 55594 55671 58322 64106 83391 87001 87362 87483 96159 96558 100738 111342 131043 151107 166782 174002 174966 192318 204127 261003 262086 302214 305767 352583 408254 522006 554059 609007 611534 612381 705166 917301 957011 1057749 1108118 1218014 1224762 1662177 1827021 1834602 1914022 2115498 2871033 3324354 3654042 3878413 5742066 6699077 7756826 10527121 11635239 13398154 20097231 21054242 23270478 31581363 40194462 63162726 73689847 147379694 221069541 442139082
- Sum of all divisors σ(n): 1177235136
- Sum of proper divisors (its aliquot sum) s(n): 735096054
- 442139082 is an abundant number, because the sum of its proper divisors (735096054) is greater than itself. Its abundance is 292956972
Bases of 442139082
- Binary: 110100101101010000001110010102
- Hexadecimal: 0x1A5A81CA
- Base-36: 7B8KP6
Squares and roots of 442139082
- 442139082 squared (4421390822) is 195486967831802724
- 442139082 cubed (4421390823) is 86432428500116786794459368
-
The
square root of 442139082 is 21027.1035095183 -
The
cube root of 442139082 is 761.8210497313
Scales and comparisons
How big is 442139082?- 442,139,082 seconds is equal to 14 years, 3 weeks, 8 hours, 24 minutes, 42 seconds.
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To count from 1 to 442,139,082 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 442139082 cubic inches would be around 63.5 feet tall.
Recreational maths with 442139082
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