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30230815104 = 273273124783
BaseRepresentation
bin11100001001111001…
…011010000110000000
32220000211121112011200
4130021321122012000
5443403042040404
621515435141200
72120101455120
oct341171320600
986024545150
1030230815104
1111903563916
125a382a4800
132b0a14b399
14166ad6cc80
15bbe01d839
hex709e5a180

30230815104 has 576 divisors, whose sum is σ = 106180139520. Its totient is φ = 8082339840.

The previous prime is 30230815103. The next prime is 30230815117. The reversal of 30230815104 is 40151803203.

It is a happy number.

30230815104 is a `hidden beast` number, since 302 + 308 + 1 + 51 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30230815103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 364226647 + ... + 364226729.

It is an arithmetic number, because the mean of its divisors is an integer number (184340520).

Almost surely, 230230815104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30230815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53090069760).

30230815104 is an abundant number, since it is smaller than the sum of its proper divisors (75949324416).

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

30230815104 is a wasteful number, since it uses less digits than its factorization.

30230815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 30230815104 in words is "thirty billion, two hundred thirty million, eight hundred fifteen thousand, one hundred four".