311004143140000 has 120 divisors (see below), whose sum is σ = 765222689371140. Its totient is φ = 124384447488000.

The previous prime is 311004143139971. The next prime is 311004143140001. The reversal of 311004143140000 is 41341400113.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 10766877189264 + 300237265950736 = 3281292^2 + 17327356^2 .

It is not an unprimeable number, because it can be changed into a prime (311004143140001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 143988016 + ... + 146131984.

Almost surely, 2^{311004143140000} 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 311004143140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382611344685570).

311004143140000 is an abundant number, since it is smaller than the sum of its proper divisors (454218546231140).

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

311004143140000 is an equidigital number, since it uses as much as digits as its factorization.

311004143140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151252 (or 2151229 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 311004143140000 its reverse (41341400113), we get a palindrome (311045484540113).

The spelling of 311004143140000 in words is "three hundred eleven trillion, four billion, one hundred forty-three million, one hundred forty thousand".