314100434000 has 40 divisors (see below), whose sum is σ = 759494854248. Its totient is φ = 125640172800.

The previous prime is 314100433967. The next prime is 314100434009. The reversal of 314100434000 is 434001413.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 150896656 + 313949537344 = 12284^2 + 560312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314100434009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78523109 + ... + 78527108.

Almost surely, 2^314100434000 is an apocalyptic number.

It is an amenable number.

314100434000 is an abundant number, since it is smaller than the sum of its proper divisors (445394420248).

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

314100434000 is a wasteful number, since it uses less digits than its factorization.

314100434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157050240 (or 157050224 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 314100434000 its reverse (434001413), we get a palindrome (314534435413).

The spelling of 314100434000 in words is "three hundred fourteen billion, one hundred million, four hundred thirty-four thousand".