Search a number
-
+
30034429425 = 3552711213449
BaseRepresentation
bin11011111110001100…
…010000010111110001
32212112011002002200000
4123332030100113301
5443002303220200
621444142020213
72112165303120
oct337614202761
985464062600
1030034429425
111181271a400
1259a2577669
132aa855b240
14164cc4bab7
15babb7a300
hex6fe3105f1

30034429425 has 432 divisors, whose sum is σ = 75638908800. Its totient is φ = 11496038400.

The previous prime is 30034429409. The next prime is 30034429433. The reversal of 30034429425 is 52492443003.

30034429425 is a `hidden beast` number, since 3 + 0 + 0 + 344 + 294 + 25 = 666.

It is not a de Polignac number, because 30034429425 - 24 = 30034429409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 30034429425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 66891601 + ... + 66892049.

Almost surely, 230034429425 is an apocalyptic number.

30034429425 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30034429425 is an abundant number, since it is smaller than the sum of its proper divisors (45604479375).

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

30034429425 is a wasteful number, since it uses less digits than its factorization.

30034429425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 30034429425 in words is "thirty billion, thirty-four million, four hundred twenty-nine thousand, four hundred twenty-five".