144332431313000 has 128 divisors (see below), whose sum is σ = 393268917899520. Its totient is φ = 48551718009600.

The previous prime is 144332431312969. The next prime is 144332431313027. The reversal of 144332431313000 is 313134233441.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194147102 + ... + 194889101.

It is an arithmetic number, because the mean of its divisors is an integer number (3072413421090).

Almost surely, 2^{144332431313000} is an apocalyptic number.

144332431313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144332431313000 is an abundant number, since it is smaller than the sum of its proper divisors (248936486586520).

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

144332431313000 is a wasteful number, since it uses less digits than its factorization.

144332431313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389036284 (or 389036270 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 144332431313000 its reverse (313134233441), we get a palindrome (144645565546441).

The spelling of 144332431313000 in words is "one hundred forty-four trillion, three hundred thirty-two billion, four hundred thirty-one million, three hundred thirteen thousand".