312334010000434 has 16 divisors (see below), whose sum is σ = 493165493462880. Its totient is φ = 147945729856320.

The previous prime is 312334010000393. The next prime is 312334010000459. The reversal of 312334010000434 is 434000010433213.

It is a super-3 number, since 3×312334010000434³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51509719 + ... + 57253114.

It is an arithmetic number, because the mean of its divisors is an integer number (30822843341430).

Almost surely, 2^{312334010000434} is an apocalyptic number.

312334010000434 is a deficient number, since it is larger than the sum of its proper divisors (180831483462446).

312334010000434 is a wasteful number, since it uses less digits than its factorization.

312334010000434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108838425.

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 312334010000434 its reverse (434000010433213), we get a palindrome (746334020433647).

The spelling of 312334010000434 in words is "three hundred twelve trillion, three hundred thirty-four billion, ten million, four hundred thirty-four", and thus it is an aban number.