31434104430 has 128 divisors (see below), whose sum is σ = 87715612800. Its totient is φ = 8001856512.

The previous prime is 31434104417. The next prime is 31434104447. The reversal of 31434104430 is 3440143413.

31434104430 is a `hidden beast` number, since 314 + 341 + 0 + 4 + 4 + 3 + 0 = 666.

It is a super-2 number, since 2×31434104430² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31434104394 and 31434104403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 499786 + ... + 559154.

It is an arithmetic number, because the mean of its divisors is an integer number (685278225).

Almost surely, 2^31434104430 is an apocalyptic number.

31434104430 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 31434104430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43857806400).

31434104430 is an abundant number, since it is smaller than the sum of its proper divisors (56281508370).

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

31434104430 is a wasteful number, since it uses less digits than its factorization.

31434104430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59475 (or 59469 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 31434104430 its reverse (3440143413), we get a palindrome (34874247843).

The spelling of 31434104430 in words is "thirty-one billion, four hundred thirty-four million, one hundred four thousand, four hundred thirty".