114052034000 has 40 divisors (see below), whose sum is σ = 275777823048. Its totient is φ = 45620812800.

The previous prime is 114052033999. The next prime is 114052034017. The reversal of 114052034000 is 430250411.

It can be written as a sum of positive squares in 4 ways, for example, as 24428439616 + 89623594384 = 156296^2 + 299372^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 28511009 + ... + 28515008.

Almost surely, 2^114052034000 is an apocalyptic number.

114052034000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114052034000 is an abundant number, since it is smaller than the sum of its proper divisors (161725789048).

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

114052034000 is an equidigital number, since it uses as much as digits as its factorization.

114052034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57026040 (or 57026024 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 114052034000 its reverse (430250411), we get a palindrome (114482284411).

The spelling of 114052034000 in words is "one hundred fourteen billion, fifty-two million, thirty-four thousand".