102014444313342 has 96 divisors (see below), whose sum is σ = 249188656147200. Its totient is φ = 30912553797840.

The previous prime is 102014444313283. The next prime is 102014444313361. The reversal of 102014444313342 is 243313444410201.

102014444313342 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 44 + 443 + 133 + 42 = 666.

It is a super-3 number, since 3×102014444313342³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102014444313297 and 102014444313306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239840143 + ... + 240265109.

It is an arithmetic number, because the mean of its divisors is an integer number (2595715168200).

Almost surely, 2^{102014444313342} is an apocalyptic number.

102014444313342 is an abundant number, since it is smaller than the sum of its proper divisors (147174211833858).

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

102014444313342 is a wasteful number, since it uses less digits than its factorization.

102014444313342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461739 (or 461722 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 102014444313342 its reverse (243313444410201), we get a palindrome (345327888723543).

The spelling of 102014444313342 in words is "one hundred two trillion, fourteen billion, four hundred forty-four million, three hundred thirteen thousand, three hundred forty-two".