314103432330 has 96 divisors (see below), whose sum is σ = 866866345488. Its totient is φ = 78637056000.

The previous prime is 314103432281. The next prime is 314103432337. The reversal of 314103432330 is 33234301413.

314103432330 is a `hidden beast` number, since 314 + 1 + 0 + 343 + 2 + 3 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 214312517721 + 99790914609 = 462939^2 + 315897^2 .

It is a junction number, because it is equal to n+sod(n) for n = 314103432294 and 314103432303.

It is not an unprimeable number, because it can be changed into a prime (314103432337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357550 + ... + 869510.

Almost surely, 2^314103432330 is an apocalyptic number.

314103432330 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314103432330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433433172744).

314103432330 is an abundant number, since it is smaller than the sum of its proper divisors (552762913158).

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

314103432330 is a wasteful number, since it uses less digits than its factorization.

314103432330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512392 (or 512389 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 314103432330 its reverse (33234301413), we get a palindrome (347337733743).

The spelling of 314103432330 in words is "three hundred fourteen billion, one hundred three million, four hundred thirty-two thousand, three hundred thirty".