314400131034 has 16 divisors (see below), whose sum is σ = 685963922400. Its totient is φ = 95272766960.

The previous prime is 314400131029. The next prime is 314400131047. The reversal of 314400131034 is 430131004413.

It is a super-3 number, since 3×314400131034³ (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 314400130995 and 314400131013.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2381819109 + ... + 2381819240.

It is an arithmetic number, because the mean of its divisors is an integer number (42872745150).

Almost surely, 2^314400131034 is an apocalyptic number.

314400131034 is an abundant number, since it is smaller than the sum of its proper divisors (371563791366).

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

314400131034 is a wasteful number, since it uses less digits than its factorization.

314400131034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763638365.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314400131034 its reverse (430131004413), we get a palindrome (744531135447).

The spelling of 314400131034 in words is "three hundred fourteen billion, four hundred million, one hundred thirty-one thousand, thirty-four".