30214435329 has 27 divisors (see below), whose sum is σ = 47269081353. Its totient is φ = 18589326912.

The previous prime is 30214435309. The next prime is 30214435343. The reversal of 30214435329 is 92353441203.

The square root of 30214435329 is 173823.

It is a perfect power (a square), and thus also a powerful number.

30214435329 is a `hidden beast` number, since 3 + 0 + 214 + 435 + 3 + 2 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 993951729 + 29220483600 = 31527^2 + 170940^2 .

It is not a de Polignac number, because 30214435329 - 2⁵ = 30214435297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30214435293 and 30214435302.

It is not an unprimeable number, because it can be changed into a prime (30214435309) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6776869 + ... + 6781325.

Almost surely, 2^30214435329 is an apocalyptic number.

30214435329 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

30214435329 is the 173823-rd square number.

30214435329 is the 86912-nd centered octagonal number.

It is an amenable number.

30214435329 is a deficient number, since it is larger than the sum of its proper divisors (17054646024).

30214435329 is an frugal number, since it uses more digits than its factorization.

30214435329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8946 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Multiplying 30214435329 by its sum of digits (36), we get a square (1087719671844 = 1042938²).

The spelling of 30214435329 in words is "thirty billion, two hundred fourteen million, four hundred thirty-five thousand, three hundred twenty-nine".