468709472
468,709,472 is an even composite number composed of four prime numbers multiplied together.
468709472 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of seventy-two divisors.
Prime factorization of 468709472:
25 × 7 × 112 × 17293
(2 × 2 × 2 × 2 × 2 × 7 × 11 × 11 × 17293)See below for interesting mathematical facts about the number 468709472 from the Numbermatics database.
Names of 468709472
- Cardinal: 468709472 can be written as Four hundred sixty-eight million, seven hundred nine thousand, four hundred seventy-two.
Scientific notation
- Scientific notation: 4.68709472 × 108
Factors of 468709472
Divisors of 468709472
- Number of divisors d(n): 72
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Complete list of divisors:
1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 847 968 1232 1694 1936 2464 3388 3872 6776 13552 17293 27104 34586 69172 121051 138344 190223 242102 276688 380446 484204 553376 760892 968408 1331561 1521784 1936816 2092453 2663122 3043568 3873632 4184906 5326244 6087136 8369812 10652488 14647171 16739624 21304976 29294342 33479248 42609952 58588684 66958496 117177368 234354736 468709472
- Sum of all divisors σ(n): 1159251408
- Sum of proper divisors (its aliquot sum) s(n): 690541936
- 468709472 is an abundant number, because the sum of its proper divisors (690541936) is greater than itself. Its abundance is 221832464
Bases of 468709472
- Binary: 110111110111111110000011000002
- Hexadecimal: 0x1BEFF060
- Base-36: 7R22JK
Squares and roots of 468709472
- 468709472 squared (4687094722) is 219688569142518784
- 468709472 cubed (4687094723) is 102970113247225471998722048
-
The
square root of 468709472 is 21649.6991203111 -
The
cube root of 468709472 is 776.7857383021
Scales and comparisons
How big is 468709472?- 468,709,472 seconds is equal to 14 years, 46 weeks, 6 days, 21 hours, 4 minutes, 32 seconds.
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To count from 1 to 468,709,472 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 468709472 cubic inches would be around 64.7 feet tall.
Recreational maths with 468709472
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