314434105000 has 160 divisors (see below), whose sum is σ = 745844659560. Its totient is φ = 124225920000.

The previous prime is 314434104977. The next prime is 314434105001. The reversal of 314434105000 is 501434413.

It can be written as a sum of positive squares in 20 ways, for example, as 153345860836 + 161088244164 = 391594^2 + 401358^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (314434105001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142083894 + ... + 142086106.

Almost surely, 2^314434105000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314434105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372922329780).

314434105000 is an abundant number, since it is smaller than the sum of its proper divisors (431410554560).

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

314434105000 is a wasteful number, since it uses less digits than its factorization.

314434105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2577 (or 2558 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 314434105000 its reverse (501434413), we get a palindrome (314935539413).

The spelling of 314434105000 in words is "three hundred fourteen billion, four hundred thirty-four million, one hundred five thousand".