314035102000 has 80 divisors (see below), whose sum is σ = 759882614400. Its totient is φ = 125523763200.

The previous prime is 314035101983. The next prime is 314035102013. The reversal of 314035102000 is 201530413.

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

It is a super-3 number, since 3×314035102000³ (a number of 35 digits) contains 333 as substring.

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, 2762281 + ... + 2873719.

It is an arithmetic number, because the mean of its divisors is an integer number (9498532680).

Almost surely, 2^314035102000 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 314035102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379941307200).

314035102000 is an abundant number, since it is smaller than the sum of its proper divisors (445847512400).

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

314035102000 is a wasteful number, since it uses less digits than its factorization.

314035102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112871 (or 112855 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 314035102000 its reverse (201530413), we get a palindrome (314236632413).

The spelling of 314035102000 in words is "three hundred fourteen billion, thirty-five million, one hundred two thousand".