134916800
134,916,800 is an even composite number composed of five prime numbers multiplied together.
134916800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 134916800:
26 × 52 × 37 × 43 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 37 × 43 × 53)See below for interesting mathematical facts about the number 134916800 from the Numbermatics database.
Names of 134916800
- Cardinal: 134916800 can be written as One hundred thirty-four million, nine hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.349168 × 108
Factors of 134916800
Divisors of 134916800
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 37 40 43 50 53 64 74 80 86 100 106 148 160 172 185 200 212 215 265 296 320 344 370 400 424 430 530 592 688 740 800 848 860 925 1060 1075 1184 1325 1376 1480 1591 1600 1696 1720 1850 1961 2120 2150 2279 2368 2650 2752 2960 3182 3392 3440 3700 3922 4240 4300 4558 5300 5920 6364 6880 7400 7844 7955 8480 8600 9116 9805 10600 11395 11840 12728 13760 14800 15688 15910 16960 17200 18232 19610 21200 22790 25456 29600 31376 31820 34400 36464 39220 39775 42400 45580 49025 50912 56975 59200 62752 63640 68800 72928 78440 79550 84323 84800 91160 98050 101824 113950 125504 127280 145856 156880 159100 168646 182320 196100 227900 254560 313760 318200 337292 364640 392200 421615 455800 509120 627520 636400 674584 729280 784400 843230 911600 1272800 1349168 1568800 1686460 1823200 2108075 2545600 2698336 3137600 3372920 3646400 4216150 5396672 6745840 8432300 13491680 16864600 26983360 33729200 67458400 134916800
- Sum of all divisors σ(n): 355463856
- Sum of proper divisors (its aliquot sum) s(n): 220547056
- 134916800 is an abundant number, because the sum of its proper divisors (220547056) is greater than itself. Its abundance is 85630256
Bases of 134916800
- Binary: 10000000101010101010110000002
- Hexadecimal: 0x80AAAC0
- Base-36: 28BQGW
Squares and roots of 134916800
- 134916800 squared (1349168002) is 18202542922240000
- 134916800 cubed (1349168003) is 2455828842931269632000000
-
The
square root of 134916800 is 11615.3691288741 -
The
cube root of 134916800 is 512.8873771619
Scales and comparisons
How big is 134916800?- 134,916,800 seconds is equal to 4 years, 15 weeks, 12 hours, 53 minutes, 20 seconds.
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To count from 1 to 134,916,800 would take you about six 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 134916800 cubic inches would be around 42.7 feet tall.
Recreational maths with 134916800
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