668438120
668,438,120 is an even composite number composed of six prime numbers multiplied together.
668438120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 668438120:
23 × 5 × 7 × 31 × 53 × 1453
(2 × 2 × 2 × 5 × 7 × 31 × 53 × 1453)See below for interesting mathematical facts about the number 668438120 from the Numbermatics database.
Names of 668438120
- Cardinal: 668438120 can be written as Six hundred sixty-eight million, four hundred thirty-eight thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.6843812 × 108
Factors of 668438120
Divisors of 668438120
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 5 7 8 10 14 20 28 31 35 40 53 56 62 70 106 124 140 155 212 217 248 265 280 310 371 424 434 530 620 742 868 1060 1085 1240 1453 1484 1643 1736 1855 2120 2170 2906 2968 3286 3710 4340 5812 6572 7265 7420 8215 8680 10171 11501 11624 13144 14530 14840 16430 20342 23002 29060 32860 40684 45043 46004 50855 57505 58120 65720 77009 81368 90086 92008 101710 115010 154018 180172 203420 225215 230020 308036 315301 360344 385045 406840 450430 460040 539063 616072 630602 770090 900860 1078126 1261204 1540180 1576505 1801720 2156252 2387279 2522408 2695315 3080360 3153010 4312504 4774558 5390630 6306020 9549116 10781260 11936395 12612040 16710953 19098232 21562520 23872790 33421906 47745580 66843812 83554765 95491160 133687624 167109530 334219060 668438120
- Sum of all divisors σ(n): 1809008640
- Sum of proper divisors (its aliquot sum) s(n): 1140570520
- 668438120 is an abundant number, because the sum of its proper divisors (1140570520) is greater than itself. Its abundance is 472132400
Bases of 668438120
- Binary: 1001111101011110001110011010002
- Hexadecimal: 0x27D78E68
- Base-36: B1YY5K
Squares and roots of 668438120
- 668438120 squared (6684381202) is 446809520269134400
- 668438120 cubed (6684381203) is 298664515726802092363328000
-
The
square root of 668438120 is 25854.1702632283 -
The
cube root of 668438120 is 874.3535339251
Scales and comparisons
How big is 668438120?- 668,438,120 seconds is equal to 21 years, 13 weeks, 1 day, 13 hours, 15 minutes, 20 seconds.
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To count from 1 to 668,438,120 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 668438120 cubic inches would be around 72.9 feet tall.
Recreational maths with 668438120
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