114042432 has 112 divisors (see below), whose sum is σ = 351568512. Its totient is φ = 31948800.

The previous prime is 114042431. The next prime is 114042437. The reversal of 114042432 is 234240411.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 114042399 and 114042408.

It is not an unprimeable number, because it can be changed into a prime (114042431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70432 + ... + 72032.

Almost surely, 2^114042432 is an apocalyptic number.

114042432 is a gapful number since it is divisible by the number (12) 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 114042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175784256).

114042432 is an abundant number, since it is smaller than the sum of its proper divisors (237526080).

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

114042432 is a wasteful number, since it uses less digits than its factorization.

114042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 114042432 is about 10679.0651276224. The cubic root of 114042432 is about 484.9409103623.

Adding to 114042432 its reverse (234240411), we get a palindrome (348282843).

The spelling of 114042432 in words is "one hundred fourteen million, forty-two thousand, four hundred thirty-two".