680509431
680,509,431 is an odd composite number composed of five prime numbers multiplied together.
What does the number 680509431 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
680509431 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 680509431:
34 × 7 × 41 × 73 × 401
(3 × 3 × 3 × 3 × 7 × 41 × 73 × 401)See below for interesting mathematical facts about the number 680509431 from the Numbermatics database.
Names of 680509431
- Cardinal: 680509431 can be written as Six hundred eighty million, five hundred nine thousand, four hundred thirty-one.
Scientific notation
- Scientific notation: 6.80509431 × 108
Factors of 680509431
Divisors of 680509431
- Number of divisors d(n): 80
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Complete list of divisors:
1 3 7 9 21 27 41 63 73 81 123 189 219 287 369 401 511 567 657 861 1107 1203 1533 1971 2583 2807 2993 3321 3609 4599 5913 7749 8421 8979 10827 13797 16441 20951 23247 25263 26937 29273 32481 41391 49323 62853 75789 80811 87819 115087 147969 188559 204911 227367 242433 263457 345261 443907 565677 614733 790371 1035783 1200193 1331721 1697031 1844199 2371113 3107349 3600579 5532597 8401351 9322047 10801737 16597791 25204053 32405211 75612159 97215633 226836477 680509431
- Sum of all divisors σ(n): 1209434688
- Sum of proper divisors (its aliquot sum) s(n): 528925257
- 680509431 is a deficient number, because the sum of its proper divisors (528925257) is less than itself. Its deficiency is 151584174
Bases of 680509431
- Binary: 1010001000111110111111111101112
- Hexadecimal: 0x288FBFF7
- Base-36: B95OFR
Squares and roots of 680509431
- 680509431 squared (6805094312) is 463093085679943761
- 680509431 cubed (6805094313) is 315139212236092776910109991
-
The
square root of 680509431 is 26086.5756855897 -
The
cube root of 680509431 is 879.5854758261
Scales and comparisons
How big is 680509431?- 680,509,431 seconds is equal to 21 years, 33 weeks, 1 day, 6 hours, 23 minutes, 51 seconds.
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To count from 1 to 680,509,431 would take you about thirty-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 680509431 cubic inches would be around 73.3 feet tall.
Recreational maths with 680509431
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