314000413000 has 64 divisors (see below), whose sum is σ = 734940460800. Its totient is φ = 125569483200.

The previous prime is 314000412977. The next prime is 314000413049. The reversal of 314000413000 is 314000413.

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, 4302817 + ... + 4375183.

It is an arithmetic number, because the mean of its divisors is an integer number (11483444700).

Almost surely, 2^314000413000 is an apocalyptic number.

It is an amenable number.

314000413000 is an abundant number, since it is smaller than the sum of its proper divisors (420940047800).

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

314000413000 is a wasteful number, since it uses less digits than its factorization.

314000413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76727 (or 76713 counting only the distinct ones).

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

Adding to 314000413000 its reverse (314000413), we get a palindrome (314314413413).

314000413000 divided by its reverse (314000413) gives a cube (1000 = 10³).

The spelling of 314000413000 in words is "three hundred fourteen billion, four hundred thirteen thousand".