114024552142240 has 48 divisors (see below), whose sum is σ = 269455871131272. Its totient is φ = 45597483638784.

The previous prime is 114024552142213. The next prime is 114024552142283. The reversal of 114024552142240 is 42241255420411.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 70416332405136 + 43608219737104 = 8391444^2 + 6603652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 114024552142240.

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 7 ways as a sum of consecutive naturals, for example, 95791149 + ... + 96974188.

Almost surely, 2^{114024552142240} is an apocalyptic number.

114024552142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114024552142240 is an abundant number, since it is smaller than the sum of its proper divisors (155431318989032).

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

114024552142240 is a wasteful number, since it uses less digits than its factorization.

114024552142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192769049 (or 192769041 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 37.

The spelling of 114024552142240 in words is "one hundred fourteen trillion, twenty-four billion, five hundred fifty-two million, one hundred forty-two thousand, two hundred forty".