468729856
468,729,856 is an even composite number composed of four prime numbers multiplied together.
468729856 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of one hundred twenty divisors.
Prime factorization of 468729856:
214 × 7 × 61 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 61 × 67)See below for interesting mathematical facts about the number 468729856 from the Numbermatics database.
Names of 468729856
- Cardinal: 468729856 can be written as Four hundred sixty-eight million, seven hundred twenty-nine thousand, eight hundred fifty-six.
Scientific notation
- Scientific notation: 4.68729856 × 108
Factors of 468729856
Divisors of 468729856
- Number of divisors d(n): 120
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Complete list of divisors:
1 2 4 7 8 14 16 28 32 56 61 64 67 112 122 128 134 224 244 256 268 427 448 469 488 512 536 854 896 938 976 1024 1072 1708 1792 1876 1952 2048 2144 3416 3584 3752 3904 4087 4096 4288 6832 7168 7504 7808 8174 8192 8576 13664 14336 15008 15616 16348 16384 17152 27328 28609 28672 30016 31232 32696 34304 54656 57218 57344 60032 62464 65392 68608 109312 114436 114688 120064 124928 130784 137216 218624 228872 240128 249856 261568 274432 437248 457744 480256 499712 523136 548864 874496 915488 960512 999424 1046272 1097728 1748992 1830976 1921024 2092544 3497984 3661952 3842048 4185088 6995968 7323904 7684096 8370176 14647808 16740352 29295616 33480704 58591232 66961408 117182464 234364928 468729856
- Sum of all divisors σ(n): 1105165376
- Sum of proper divisors (its aliquot sum) s(n): 636435520
- 468729856 is an abundant number, because the sum of its proper divisors (636435520) is greater than itself. Its abundance is 167705664
Bases of 468729856
- Binary: 110111111000001000000000000002
- Hexadecimal: 0x1BF04000
- Base-36: 7R2I9S
Squares and roots of 468729856
- 468729856 squared (4687298562) is 219707677905780736
- 468729856 cubed (4687298563) is 102983548226870985952854016
-
The
square root of 468729856 is 21650.1698838599 -
The
cube root of 468729856 is 776.7969988461
Scales and comparisons
How big is 468729856?- 468,729,856 seconds is equal to 14 years, 47 weeks, 2 hours, 44 minutes, 16 seconds.
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To count from 1 to 468,729,856 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 468729856 cubic inches would be around 64.7 feet tall.
Recreational maths with 468729856
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