# 36144 (number)

36,144 (thirty-six thousand one hundred forty-four) is an even five-digits composite number following 36143 and preceding 36145. In scientific notation, it is written as 3.6144 × 104. The sum of its digits is 18. It has a total of 7 prime factors and 30 positive divisors. There are 12,000 positive integers (up to 36144) that are relatively prime to 36144.

## Basic properties

• Is Prime? No
• Number parity Even
• Number length 5
• Sum of Digits 18
• Digital Root 9

## Name

Short name 36 thousand 144 thirty-six thousand one hundred forty-four

## Notation

Scientific notation 3.6144 × 104 36.144 × 103

## Prime Factorization of 36144

Prime Factorization 24 × 32 × 251

Composite number
Distinct Factors Total Factors Radical ω(n) 3 Total number of distinct prime factors Ω(n) 7 Total number of prime factors rad(n) 1506 Product of the distinct prime numbers λ(n) -1 Returns the parity of Ω(n), such that λ(n) = (-1)Ω(n) μ(n) 0 Returns: 1, if n has an even number of prime factors (and is square free) −1, if n has an odd number of prime factors (and is square free) 0, if n has a squared prime factor Λ(n) 0 Returns log(p) if n is a power pk of any prime p (for any k >= 1), else returns 0

The prime factorization of 36,144 is 24 × 32 × 251. Since it has a total of 7 prime factors, 36,144 is a composite number.

## Divisors of 36144

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4016, 4518, 6024, 9036, 12048, 18072, 36144

30 divisors

 Even divisors 24 6 3 3
Total Divisors Sum of Divisors Aliquot Sum τ(n) 30 Total number of the positive divisors of n σ(n) 101556 Sum of all the positive divisors of n s(n) 65412 Sum of the proper positive divisors of n A(n) 3385.2 Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) G(n) 190.116 Returns the nth root of the product of n divisors H(n) 10.6771 Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 36,144 can be divided by 30 positive divisors (out of which 24 are even, and 6 are odd). The sum of these divisors (counting 36,144) is 101,556, the average is 338,5.2.

## Other Arithmetic Functions (n = 36144)

1 φ(n) n
Euler Totient Carmichael Lambda Prime Pi φ(n) 12000 Total number of positive integers not greater than n that are coprime to n λ(n) 3000 Smallest positive number such that aλ(n) ≡ 1 (mod n) for all a coprime to n π(n) ≈ 3837 Total number of primes less than or equal to n r2(n) 0 The number of ways n can be represented as the sum of 2 squares

There are 12,000 positive integers (less than 36,144) that are coprime with 36,144. And there are approximately 3,837 prime numbers less than or equal to 36,144.

## Divisibility of 36144

 m n mod m 2 3 4 5 6 7 8 9 0 0 0 4 0 3 0 0

The number 36,144 is divisible by 2, 3, 4, 6, 8 and 9.

## Classification of 36144

• Abundant

### Expressible via specific sums

• Polite
• Practical
• Non-hypotenuse

## Base conversion (36144)

Base System Value
2 Binary 1000110100110000
3 Ternary 1211120200
4 Quaternary 20310300
5 Quinary 2124034
6 Senary 435200
8 Octal 106460
10 Decimal 36144
12 Duodecimal 18b00
20 Vigesimal 4a74
36 Base36 rw0

## Basic calculations (n = 36144)

### Multiplication

n×y
 n×2 72288 108432 144576 180720

### Division

n÷y
 n÷2 18072 12048 9036 7228.8

### Exponentiation

ny
 n2 1306388736 47218114473984 1706651529547677696 61685212883971262644224

### Nth Root

y√n
 2√n 190.116 33.0632 13.7882 8.15844

## 36144 as geometric shapes

### Circle

 Diameter 72288 227099 4.10414e+09

### Sphere

 Volume 1.97787e+14 1.64166e+10 227099

### Square

Length = n
 Perimeter 144576 1.30639e+09 51115.3

### Cube

Length = n
 Surface area 7.83833e+09 4.72181e+13 62603.2

### Equilateral Triangle

Length = n
 Perimeter 108432 5.65683e+08 31301.6

### Triangular Pyramid

Length = n
 Surface area 2.26273e+09 5.56471e+12 29511.5
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