311034142414000 has 40 divisors (see below), whose sum is σ = 752080556361888. Its totient is φ = 124413656964800.

The previous prime is 311034142413947. The next prime is 311034142414003. The reversal of 311034142414000 is 414241430113.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 311034142414000.

It is not an unprimeable number, because it can be changed into a prime (311034142414003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77758533604 + ... + 77758537603.

Almost surely, 2^{311034142414000} is an apocalyptic number.

It is an amenable number.

311034142414000 is an abundant number, since it is smaller than the sum of its proper divisors (441046413947888).

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

311034142414000 is a wasteful number, since it uses less digits than its factorization.

311034142414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155517071230 (or 155517071214 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 311034142414000 its reverse (414241430113), we get a palindrome (311448383844113).

The spelling of 311034142414000 in words is "three hundred eleven trillion, thirty-four billion, one hundred forty-two million, four hundred fourteen thousand".