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30141794304 = 211331972767
BaseRepresentation
bin11100000100100101…
…110100100000000000
32212210122002210121000
4130010211310200000
5443212244404204
621502535132000
72114641011216
oct340445644000
985718083530
1030141794304
1111868291206
125a12514000
132ac488005b
14165d1d8cb6
15bb62d7039
hex704974800

30141794304 has 192 divisors, whose sum is σ = 89772883200. Its totient is φ = 9992650752.

The previous prime is 30141794273. The next prime is 30141794311. The reversal of 30141794304 is 40349714103.

30141794304 is a `hidden beast` number, since 301 + 41 + 7 + 9 + 4 + 304 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10891929 + ... + 10894695.

It is an arithmetic number, because the mean of its divisors is an integer number (467567100).

Almost surely, 230141794304 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 30141794304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44886441600).

30141794304 is an abundant number, since it is smaller than the sum of its proper divisors (59631088896).

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

30141794304 is a wasteful number, since it uses less digits than its factorization.

30141794304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2969 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 30141794304 in words is "thirty billion, one hundred forty-one million, seven hundred ninety-four thousand, three hundred four".