668123120
668,123,120 is an even composite number composed of five prime numbers multiplied together.
What does the number 668123120 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 80 divisors.
668123120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eighty divisors.
Prime factorization of 668123120:
24 × 5 × 7 × 17 × 70181
(2 × 2 × 2 × 2 × 5 × 7 × 17 × 70181)See below for interesting mathematical facts about the number 668123120 from the Numbermatics database.
Names of 668123120
- Cardinal: 668123120 can be written as Six hundred sixty-eight million, one hundred twenty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.6812312 × 108
Factors of 668123120
Divisors of 668123120
- Number of divisors d(n): 80
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 56 68 70 80 85 112 119 136 140 170 238 272 280 340 476 560 595 680 952 1190 1360 1904 2380 4760 9520 70181 140362 280724 350905 491267 561448 701810 982534 1122896 1193077 1403620 1965068 2386154 2456335 2807240 3930136 4772308 4912670 5614480 5965385 7860272 8351539 9544616 9825340 11930770 16703078 19089232 19650680 23861540 33406156 39301360 41757695 47723080 66812312 83515390 95446160 133624624 167030780 334061560 668123120
- Sum of all divisors σ(n): 1879754688
- Sum of proper divisors (its aliquot sum) s(n): 1211631568
- 668123120 is an abundant number, because the sum of its proper divisors (1211631568) is greater than itself. Its abundance is 543508448
Bases of 668123120
- Binary: 1001111101001010111111111100002
- Hexadecimal: 0x27D2BFF0
- Base-36: B1S73K
Squares and roots of 668123120
- 668123120 squared (6681231202) is 446388503478534400
- 668123120 cubed (6681231203) is 298242479676209256355328000
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The
square root of 668123120 is 25848.0776848105 -
The
cube root of 668123120 is 874.2161666157
Scales and comparisons
How big is 668123120?- 668,123,120 seconds is equal to 21 years, 12 weeks, 4 days, 21 hours, 45 minutes, 20 seconds.
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To count from 1 to 668,123,120 would take you about thirty-one 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 668123120 cubic inches would be around 72.9 feet tall.
Recreational maths with 668123120
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