468097490
468,097,490 is an even composite number composed of six prime numbers multiplied together.
468097490 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 468097490:
2 × 5 × 72 × 19 × 137 × 367
(2 × 5 × 7 × 7 × 19 × 137 × 367)See below for interesting mathematical facts about the number 468097490 from the Numbermatics database.
Names of 468097490
- Cardinal: 468097490 can be written as Four hundred sixty-eight million, ninety-seven thousand, four hundred ninety.
Scientific notation
- Scientific notation: 4.6809749 × 108
Factors of 468097490
Divisors of 468097490
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 5 7 10 14 19 35 38 49 70 95 98 133 137 190 245 266 274 367 490 665 685 734 931 959 1330 1370 1835 1862 1918 2569 2603 3670 4655 4795 5138 5206 6713 6973 9310 9590 12845 13015 13426 13946 17983 18221 25690 26030 33565 34865 35966 36442 48811 50279 67130 69730 89915 91105 97622 100558 127547 179830 182210 244055 251395 255094 341677 351953 488110 502790 637735 683354 703906 955301 1275470 1708385 1759765 1910602 2463671 3416770 3519530 4776505 4927342 6687107 9553010 12318355 13374214 24636710 33435535 46809749 66871070 93619498 234048745 468097490
- Sum of all divisors σ(n): 1042087680
- Sum of proper divisors (its aliquot sum) s(n): 573990190
- 468097490 is an abundant number, because the sum of its proper divisors (573990190) is greater than itself. Its abundance is 105892700
Bases of 468097490
- Binary: 110111110011010011001110100102
- Hexadecimal: 0x1BE699D2
- Base-36: 7QOYC2
Squares and roots of 468097490
- 468097490 squared (4680974902) is 219115260144300100
- 468097490 cubed (4680974903) is 102567303294243914616749000
-
The
square root of 468097490 is 21635.5607738741 -
The
cube root of 468097490 is 776.4475146155
Scales and comparisons
How big is 468097490?- 468,097,490 seconds is equal to 14 years, 45 weeks, 6 days, 19 hours, 4 minutes, 50 seconds.
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To count from 1 to 468,097,490 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 468097490 cubic inches would be around 64.7 feet tall.
Recreational maths with 468097490
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