1311432144 has 80 divisors (see below), whose sum is σ = 3795798720. Its totient is φ = 386657280.

The previous prime is 1311432077. The next prime is 1311432151. The reversal of 1311432144 is 4412341131.

1311432144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14029 + ... + 53100.

It is an arithmetic number, because the mean of its divisors is an integer number (47447484).

Almost surely, 2^1311432144 is an apocalyptic number.

It is an amenable number.

1311432144 is an abundant number, since it is smaller than the sum of its proper divisors (2484366576).

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

1311432144 is a wasteful number, since it uses less digits than its factorization.

1311432144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67188 (or 67182 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 1311432144 is about 36213.7010536068. The cubic root of 1311432144 is about 1094.5827713408.

Adding to 1311432144 its reverse (4412341131), we get a palindrome (5723773275).

The spelling of 1311432144 in words is "one billion, three hundred eleven million, four hundred thirty-two thousand, one hundred forty-four".