114311032140 has 96 divisors (see below), whose sum is σ = 327206283264. Its totient is φ = 29804673280.

The previous prime is 114311032123. The next prime is 114311032193. The reversal of 114311032140 is 41230113411.

It is a super-2 number, since 2×114311032140² (a number of 23 digits) contains 22 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 31 ways as a sum of consecutive naturals, for example, 2887762 + ... + 2927078.

It is an arithmetic number, because the mean of its divisors is an integer number (3408398784).

Almost surely, 2^114311032140 is an apocalyptic number.

114311032140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114311032140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163603141632).

114311032140 is an abundant number, since it is smaller than the sum of its proper divisors (212895251124).

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

114311032140 is a wasteful number, since it uses less digits than its factorization.

114311032140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40407 (or 40405 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 114311032140 its reverse (41230113411), we get a palindrome (155541145551).

The spelling of 114311032140 in words is "one hundred fourteen billion, three hundred eleven million, thirty-two thousand, one hundred forty".