114301142000 has 80 divisors (see below), whose sum is σ = 278076538272. Its totient is φ = 45439833600.

The previous prime is 114301141967. The next prime is 114301142009. The reversal of 114301142000 is 241103411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 114301142000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114301142009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 150692 + ... + 501308.

Almost surely, 2^114301142000 is an apocalyptic number.

114301142000 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 114301142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139038269136).

114301142000 is an abundant number, since it is smaller than the sum of its proper divisors (163775396272).

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

114301142000 is a wasteful number, since it uses less digits than its factorization.

114301142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350803 (or 350787 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 114301142000 its reverse (241103411), we get a palindrome (114542245411).

The spelling of 114301142000 in words is "one hundred fourteen billion, three hundred one million, one hundred forty-two thousand".