311141424 has 80 divisors (see below), whose sum is σ = 915012864. Its totient is φ = 90182400.

The previous prime is 311141423. The next prime is 311141437. The reversal of 311141424 is 424141113.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311141424.

It is not an unprimeable number, because it can be changed into a prime (311141423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 667 + ... + 24954.

Almost surely, 2^311141424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311141424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457506432).

311141424 is an abundant number, since it is smaller than the sum of its proper divisors (603871440).

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

311141424 is a wasteful number, since it uses less digits than its factorization.

311141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25666 (or 25660 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 311141424 is about 17639.2013424645. The cubic root of 311141424 is about 677.6195775736.

Adding to 311141424 its reverse (424141113), we get a palindrome (735282537).

The spelling of 311141424 in words is "three hundred eleven million, one hundred forty-one thousand, four hundred twenty-four".