164188125
164,188,125 is an odd composite number composed of four prime numbers multiplied together.
What does the number 164188125 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 90 divisors.
164188125 is an odd composite number. It is composed of four distinct prime numbers multiplied together. It has a total of ninety divisors.
Prime factorization of 164188125:
32 × 54 × 172 × 101
(3 × 3 × 5 × 5 × 5 × 5 × 17 × 17 × 101)See below for interesting mathematical facts about the number 164188125 from the Numbermatics database.
Names of 164188125
- Cardinal: 164188125 can be written as One hundred sixty-four million, one hundred eighty-eight thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.64188125 × 108
Factors of 164188125
Divisors of 164188125
- Number of divisors d(n): 90
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Complete list of divisors:
1 3 5 9 15 17 25 45 51 75 85 101 125 153 225 255 289 303 375 425 505 625 765 867 909 1125 1275 1445 1515 1717 1875 2125 2525 2601 3825 4335 4545 5151 5625 6375 7225 7575 8585 10625 12625 13005 15453 19125 21675 22725 25755 29189 31875 36125 37875 42925 63125 65025 77265 87567 95625 108375 113625 128775 145945 180625 189375 214625 262701 325125 386325 437835 541875 568125 643875 729725 1073125 1313505 1625625 1931625 2189175 3219375 3648625 6567525 9658125 10945875 18243125 32837625 54729375 164188125
- Sum of all divisors σ(n): 317931042
- Sum of proper divisors (its aliquot sum) s(n): 153742917
- 164188125 is a deficient number, because the sum of its proper divisors (153742917) is less than itself. Its deficiency is 10445208
Bases of 164188125
- Binary: 10011100100101001111110111012
- Hexadecimal: 0x9C94FDD
- Base-36: 2PR4D9
Squares and roots of 164188125
- 164188125 squared (1641881252) is 26957740391015625
- 164188125 cubed (1641881253) is 4426140849037622314453125
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The
square root of 164188125 is 12813.5914169291 -
The
cube root of 164188125 is 547.5795843527
Scales and comparisons
How big is 164188125?- 164,188,125 seconds is equal to 5 years, 11 weeks, 3 days, 7 hours, 48 minutes, 45 seconds.
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To count from 1 to 164,188,125 would take you about seven 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 164188125 cubic inches would be around 45.6 feet tall.
Recreational maths with 164188125
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