42180

42,180 is an even composite number composed of five prime numbers multiplied together.

What does the number 42180 look like?

This visualization shows the relationship between its 5 prime factors (large circles) and 48 divisors.

42180 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of forty-eight divisors.

Prime factorization of 42180:

2² × 3 × 5 × 19 × 37

(2 × 2 × 3 × 5 × 19 × 37)

See below for interesting mathematical facts about the number 42180 from the Numbermatics database.

Names of 42180

Cardinal: 42180 can be written as Forty-two thousand, one hundred eighty.

Scientific notation

Scientific notation: 4.218 × 10⁴

Factors of 42180

Number of distinct prime factors ω(n): 5
Total number of prime factors Ω(n): 6
Sum of prime factors: 66

Divisors of 42180

Number of divisors d(n): 48
Complete list of divisors:
1 2 3 4 5 6 10 12 15 19 20 30 37 38 57 60 74 76 95 111 114 148 185 190 222 228 285 370 380 444 555 570 703 740 1110 1140 1406 2109 2220 2812 3515 4218 7030 8436 10545 14060 21090 42180
Sum of all divisors σ(n): 127680
Sum of proper divisors (its aliquot sum) s(n): 85500
42180 is an abundant number, because the sum of its proper divisors (85500) is greater than itself. Its abundance is 43320

Bases of 42180

Binary: 1010010011000100₂
Hexadecimal: 0xA4C4
Base-36: WJO

Squares and roots of 42180

42180 squared (42180²) is 1779152400
42180 cubed (42180³) is 75044648232000
The square root of 42180 is 205.3777008343
The cube root of 42180 is 34.8098532015

Scales and comparisons

How big is 42180?

42,180 seconds is equal to 11 hours, 43 minutes.
To count from 1 to 42,180 would take you about eleven hours.

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 42180 cubic inches would be around 2.9 feet tall.

Recreational maths with 42180

42180 backwards is 08124
42180 is a Harshad number.
The number of decimal digits it has is: 5
The sum of 42180's digits is 15
More coming soon!

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The information we have on file for 42180 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

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