2014142414102 has 128 divisors (see below), whose sum is σ = 3805208838144. Its totient is φ = 778439559168.

The previous prime is 2014142413991. The next prime is 2014142414143.

2014142414102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1104849563 + ... + 1104851385.

It is an arithmetic number, because the mean of its divisors is an integer number (29728194048).

Almost surely, 2^{2014142414102} is an apocalyptic number.

2014142414102 is a deficient number, since it is larger than the sum of its proper divisors (1791066424042).

2014142414102 is a wasteful number, since it uses less digits than its factorization.

2014142414102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662.

The product of its (nonzero) digits is 2048, while the sum is 26.

The spelling of 2014142414102 in words is "two trillion, fourteen billion, one hundred forty-two million, four hundred fourteen thousand, one hundred two".