680829006
680,829,006 is an even composite number composed of six prime numbers multiplied together.
What does the number 680829006 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 144 divisors.
680829006 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 680829006:
2 × 3 × 112 × 132 × 31 × 179
(2 × 3 × 11 × 11 × 13 × 13 × 31 × 179)See below for interesting mathematical facts about the number 680829006 from the Numbermatics database.
Names of 680829006
- Cardinal: 680829006 can be written as Six hundred eighty million, eight hundred twenty-nine thousand and six.
Scientific notation
- Scientific notation: 6.80829006 × 108
Factors of 680829006
Divisors of 680829006
- Number of divisors d(n): 144
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Complete list of divisors:
1 2 3 6 11 13 22 26 31 33 39 62 66 78 93 121 143 169 179 186 242 286 338 341 358 363 403 429 507 537 682 726 806 858 1014 1023 1074 1209 1573 1859 1969 2046 2327 2418 3146 3718 3751 3938 4433 4654 4719 5239 5549 5577 5907 6981 7502 8866 9438 10478 11098 11154 11253 11814 13299 13962 15717 16647 20449 21659 22506 25597 26598 30251 31434 33294 40898 43318 48763 51194 57629 60502 61039 61347 64977 72137 76791 90753 97526 115258 122078 122694 129954 144274 146289 153582 172887 181506 183117 216411 281567 292578 332761 345774 366234 432822 563134 633919 665522 671429 793507 844701 937781 998283 1267838 1342858 1587014 1689402 1875562 1901757 1996566 2014287 2380521 2813343 3660371 3803514 4028574 4761042 5626686 7320742 8728577 10315591 10981113 17457154 20631182 21962226 26185731 30946773 52371462 61893546 113471501 226943002 340414503 680829006
- Sum of all divisors σ(n): 1682311680
- Sum of proper divisors (its aliquot sum) s(n): 1001482674
- 680829006 is an abundant number, because the sum of its proper divisors (1001482674) is greater than itself. Its abundance is 320653668
Bases of 680829006
- Binary: 1010001001010010100000010011102
- Hexadecimal: 0x2894A04E
- Base-36: B9CJ0U
Squares and roots of 680829006
- 680829006 squared (6808290062) is 463528135410948036
- 680829006 cubed (6808290063) is 315583399684869152867532216
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The
square root of 680829006 is 26092.7002435547 -
The
cube root of 680829006 is 879.7231420731
Scales and comparisons
How big is 680829006?- 680,829,006 seconds is equal to 21 years, 33 weeks, 4 days, 23 hours, 10 minutes, 6 seconds.
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To count from 1 to 680,829,006 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 680829006 cubic inches would be around 73.3 feet tall.
Recreational maths with 680829006
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