114032142000 has 480 divisors, whose sum is σ = 459258284160. Its totient is φ = 25830604800.

The previous prime is 114032141999. The next prime is 114032142017. The reversal of 114032142000 is 241230411.

114032142000 is a `hidden beast` number, since 1 + 140 + 321 + 4 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14233996 + ... + 14242004.

It is an arithmetic number, because the mean of its divisors is an integer number (956788092).

Almost surely, 2^114032142000 is an apocalyptic number.

114032142000 is a gapful number since it is divisible by the number (10) 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 114032142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229629142080).

114032142000 is an abundant number, since it is smaller than the sum of its proper divisors (345226142160).

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

114032142000 is a wasteful number, since it uses less digits than its factorization.

114032142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8158 (or 8139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114032142000 its reverse (241230411), we get a palindrome (114273372411).

The spelling of 114032142000 in words is "one hundred fourteen billion, thirty-two million, one hundred forty-two thousand".