230442468
230,442,468 is an even composite number composed of six prime numbers multiplied together.
230442468 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 230442468:
22 × 3 × 29 × 31 × 41 × 521
(2 × 2 × 3 × 29 × 31 × 41 × 521)See below for interesting mathematical facts about the number 230442468 from the Numbermatics database.
Names of 230442468
- Cardinal: 230442468 can be written as Two hundred thirty million, four hundred forty-two thousand, four hundred sixty-eight.
Scientific notation
- Scientific notation: 2.30442468 × 108
Factors of 230442468
Divisors of 230442468
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 12 29 31 41 58 62 82 87 93 116 123 124 164 174 186 246 348 372 492 521 899 1042 1189 1271 1563 1798 2084 2378 2542 2697 3126 3567 3596 3813 4756 5084 5394 6252 7134 7626 10788 14268 15109 15252 16151 21361 30218 32302 36859 42722 45327 48453 60436 64083 64604 73718 85444 90654 96906 110577 128166 147436 181308 193812 221154 256332 442308 468379 619469 662191 936758 1238938 1324382 1405137 1858407 1873516 1986573 2477876 2648764 2810274 3716814 3973146 5620548 7433628 7946292 19203539 38407078 57610617 76814156 115221234 230442468
- Sum of all divisors σ(n): 589317120
- Sum of proper divisors (its aliquot sum) s(n): 358874652
- 230442468 is an abundant number, because the sum of its proper divisors (358874652) is greater than itself. Its abundance is 128432184
Bases of 230442468
- Binary: 11011011110001000101111001002
- Hexadecimal: 0xDBC45E4
- Base-36: 3T76JO
Squares and roots of 230442468
- 230442468 squared (2304424682) is 53103731057931024
- 230442468 cubed (2304424683) is 12237354844997876144327232
-
The
square root of 230442468 is 15180.3316169311 -
The
cube root of 230442468 is 613.0852098381
Scales and comparisons
How big is 230442468?- 230,442,468 seconds is equal to 7 years, 17 weeks, 3 hours, 47 minutes, 48 seconds.
-
To count from 1 to 230,442,468 would take you about ten 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 230442468 cubic inches would be around 51.1 feet tall.
Recreational maths with 230442468
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The information we have on file for 230442468 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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