114443431400 has 48 divisors (see below), whose sum is σ = 266104580940. Its totient is φ = 45773312000.

The previous prime is 114443431363. The next prime is 114443431411. The reversal of 114443431400 is 4134344411.

It can be written as a sum of positive squares in 6 ways, for example, as 111715040644 + 2728390756 = 334238^2 + 52234^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3363272 + ... + 3397128.

Almost surely, 2^114443431400 is an apocalyptic number.

114443431400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114443431400 is an abundant number, since it is smaller than the sum of its proper divisors (151661149540).

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

114443431400 is a wasteful number, since it uses less digits than its factorization.

114443431400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50774 (or 50765 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 114443431400 its reverse (4134344411), we get a palindrome (118577775811).

The spelling of 114443431400 in words is "one hundred fourteen billion, four hundred forty-three million, four hundred thirty-one thousand, four hundred".