311402143233342 has 128 divisors (see below), whose sum is σ = 817065575424000. Its totient is φ = 86029065273600.

The previous prime is 311402143233173. The next prime is 311402143233361. The reversal of 311402143233342 is 243332341204113.

311402143233342 is a `hidden beast` number, since 3 + 1 + 1 + 40 + 2 + 1 + 43 + 233 + 342 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 311402143233297 and 311402143233306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2588034 + ... + 25089882.

It is an arithmetic number, because the mean of its divisors is an integer number (6383324808000).

Almost surely, 2^{311402143233342} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311402143233342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408532787712000).

311402143233342 is an abundant number, since it is smaller than the sum of its proper divisors (505663432190658).

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

311402143233342 is a wasteful number, since it uses less digits than its factorization.

311402143233342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22503079 (or 22503073 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 311402143233342 its reverse (243332341204113), we get a palindrome (554734484437455).

The spelling of 311402143233342 in words is "three hundred eleven trillion, four hundred two billion, one hundred forty-three million, two hundred thirty-three thousand, three hundred forty-two".