30114434104209 has 144 divisors (see below), whose sum is σ = 59485307743680. Its totient is φ = 15048506954880.

The previous prime is 30114434104207. The next prime is 30114434104219. The reversal of 30114434104209 is 90240143441103.

30114434104209 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 4 + 434 + 10 + 4 + 209 = 666.

It is not a de Polignac number, because 30114434104209 - 2¹ = 30114434104207 is a prime.

It is a super-3 number, since 3×30114434104209³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (30114434104207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2178682 + ... + 8060739.

Almost surely, 2^{30114434104209} is an apocalyptic number.

30114434104209 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

It is an amenable number.

30114434104209 is a deficient number, since it is larger than the sum of its proper divisors (29370873639471).

30114434104209 is a wasteful number, since it uses less digits than its factorization.

30114434104209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10239482 (or 10239463 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 30114434104209 in words is "thirty trillion, one hundred fourteen billion, four hundred thirty-four million, one hundred four thousand, two hundred nine".