Search a number
BaseRepresentation
bin10010000
312100
42100
51034
6400
7264
oct220
9170
10144
11121
12100
13b1
14a4
1599
hex90

• Sorting the digits of 2144 in ascending order we obtain a prime of 39 digits.

• 144 can be written using four 4's: 144 has 15 divisors (see below), whose sum is σ = 403. Its totient is φ = 48.

The previous prime is 139. The next prime is 149. The reversal of 144 is 441.

144 = T11 + T12.

The square root of 144 is 12.

It is a perfect power (a square), and thus also a powerful number.

It is the 11-th Fibonacci number F11.

It is a Jordan-Polya number, since it can be written as 4! ⋅ 3!.

144 is nontrivially palindromic in base 11 and base 15.

144 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (139) and next prime (149).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a hungry number.

It is a Duffinian number.

144 is an undulating number in base 11.

144 is a nontrivial repdigit in base 15.

It is a plaindrome in base 10 and base 15.

It is a nialpdrome in base 4, base 6, base 8, base 12, base 13, base 14, base 15 and base 16.

It is a zygodrome in base 15.

It is a panconsummate number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 47 + 48 + 49.

144 is the 12-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144

144 is an abundant number, since it is smaller than the sum of its proper divisors (259).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144 is a wasteful number, since it uses less digits than its factorization.

144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14 (or 5 counting only the distinct ones).

The product of its digits is 16, while the sum is 9.

The cubic root of 144 is about 5.2414827884.

Subtracting from 144 its product of digits (16), we obtain a 7-th power (128 = 27).

Multiplying 144 by its product of digits (16), we get a square (2304 = 482).

Adding to 144 its reverse (441), we get a palindrome (585).

Multiplying 144 by its reverse (441), we get a square (63504 = 2522).

It can be divided in two parts, 1 and 44, that added together give a triangular number (45 = T9).

The spelling of 144 in words is "one hundred forty-four", and thus it is an aban number and an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144