468683072
468,683,072 is an even composite number composed of five prime numbers multiplied together.
468683072 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twelve divisors.
Prime factorization of 468683072:
26 × 11 × 13 × 83 × 617
(2 × 2 × 2 × 2 × 2 × 2 × 11 × 13 × 83 × 617)See below for interesting mathematical facts about the number 468683072 from the Numbermatics database.
Names of 468683072
- Cardinal: 468683072 can be written as Four hundred sixty-eight million, six hundred eighty-three thousand and seventy-two.
Scientific notation
- Scientific notation: 4.68683072 × 108
Factors of 468683072
Divisors of 468683072
- Number of divisors d(n): 112
-
Complete list of divisors:
1 2 4 8 11 13 16 22 26 32 44 52 64 83 88 104 143 166 176 208 286 332 352 416 572 617 664 704 832 913 1079 1144 1234 1328 1826 2158 2288 2468 2656 3652 4316 4576 4936 5312 6787 7304 8021 8632 9152 9872 11869 13574 14608 16042 17264 19744 23738 27148 29216 32084 34528 39488 47476 51211 54296 58432 64168 69056 88231 94952 102422 108592 128336 176462 189904 204844 217184 256672 352924 379808 409688 434368 513344 563321 665743 705848 759616 819376 1126642 1331486 1411696 1638752 2253284 2662972 2823392 3277504 4506568 5325944 5646784 7323173 9013136 10651888 14646346 18026272 21303776 29292692 36052544 42607552 58585384 117170768 234341536 468683072
- Sum of all divisors σ(n): 1107594432
- Sum of proper divisors (its aliquot sum) s(n): 638911360
- 468683072 is an abundant number, because the sum of its proper divisors (638911360) is greater than itself. Its abundance is 170228288
Bases of 468683072
- Binary: 110111110111110001001010000002
- Hexadecimal: 0x1BEF8940
- Base-36: 7R1I68
Squares and roots of 468683072
- 468683072 squared (4686830722) is 219663821979357184
- 468683072 cubed (4686830723) is 102952714892546245582389248
-
The
square root of 468683072 is 21649.0894034831 -
The
cube root of 468683072 is 776.7711539097
Scales and comparisons
How big is 468683072?- 468,683,072 seconds is equal to 14 years, 46 weeks, 6 days, 13 hours, 44 minutes, 32 seconds.
-
To count from 1 to 468,683,072 would take you about twenty-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 468683072 cubic inches would be around 64.7 feet tall.
Recreational maths with 468683072
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