114407144 has 32 divisors (see below), whose sum is σ = 229408200. Its totient is φ = 53299200.

The previous prime is 114407141. The next prime is 114407177. The reversal of 114407144 is 441704411.

It can be written as a sum of positive squares in 4 ways, for example, as 111302500 + 3104644 = 10550^2 + 1762^2 .

It is not an unprimeable number, because it can be changed into a prime (114407141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9572 + ... + 17900.

Almost surely, 2^114407144 is an apocalyptic number.

It is an amenable number.

114407144 is an abundant number, since it is smaller than the sum of its proper divisors (115001056).

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

114407144 is a wasteful number, since it uses less digits than its factorization.

114407144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8453 (or 8449 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 114407144 is about 10696.1275235479. The cubic root of 114407144 is about 485.4573133697.

The spelling of 114407144 in words is "one hundred fourteen million, four hundred seven thousand, one hundred forty-four".