312141444 has 12 divisors (see below), whose sum is σ = 728330064. Its totient is φ = 104047144.

The previous prime is 312141391. The next prime is 312141461. The reversal of 312141444 is 444141213.

It is a tau number, because it is divible by the number of its divisors (12).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13005882 + ... + 13005905.

It is an arithmetic number, because the mean of its divisors is an integer number (60694172).

Almost surely, 2^312141444 is an apocalyptic number.

It is an amenable number.

312141444 is an abundant number, since it is smaller than the sum of its proper divisors (416188620).

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

312141444 is a wasteful number, since it uses less digits than its factorization.

312141444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26011794 (or 26011792 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 312141444 is about 17667.5251237971. The cubic root of 312141444 is about 678.3447659628.

Adding to 312141444 its reverse (444141213), we get a palindrome (756282657).

The spelling of 312141444 in words is "three hundred twelve million, one hundred forty-one thousand, four hundred forty-four".