314100034000 has 80 divisors (see below), whose sum is σ = 759620019600. Its totient is φ = 125619148800.

The previous prime is 314100033953. The next prime is 314100034043. The reversal of 314100034000 is 430001413.

It can be written as a sum of positive squares in 8 ways, for example, as 39645588544 + 274454445456 = 199112^2 + 523884^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18857676 + ... + 18874324.

It is an arithmetic number, because the mean of its divisors is an integer number (9495250245).

Almost surely, 2^314100034000 is an apocalyptic number.

It is an amenable number.

314100034000 is an abundant number, since it is smaller than the sum of its proper divisors (445519985600).

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

314100034000 is a wasteful number, since it uses less digits than its factorization.

314100034000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26105 (or 26089 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 314100034000 its reverse (430001413), we get a palindrome (314530035413).

The spelling of 314100034000 in words is "three hundred fourteen billion, one hundred million, thirty-four thousand".