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34444225125 = 325330617089
BaseRepresentation
bin100000000101000010…
…010010101001100101
310021220110212221010200
4200011002102221211
51031020210201000
623453511141113
72326363040262
oct400502225145
9107813787120
1034444225125
111367595a162
126813374799
13332c040acb
14194a796269
15d68d9b500
hex805092a65

34444225125 has 24 divisors (see below), whose sum is σ = 62091458520. Its totient is φ = 18370252800.

The previous prime is 34444225121. The next prime is 34444225139. The reversal of 34444225125 is 52152244443.

34444225125 is a `hidden beast` number, since 344 + 4 + 42 + 251 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419471361 + 34024753764 = 20481^2 + 184458^2 .

It is not a de Polignac number, because 34444225125 - 22 = 34444225121 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34444225125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34444225121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15307420 + ... + 15309669.

It is an arithmetic number, because the mean of its divisors is an integer number (2587144105).

Almost surely, 234444225125 is an apocalyptic number.

It is an amenable number.

34444225125 is a deficient number, since it is larger than the sum of its proper divisors (27647233395).

34444225125 is a wasteful number, since it uses less digits than its factorization.

34444225125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30617110 (or 30617097 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 34444225125 its reverse (52152244443), we get a palindrome (86596469568).

The spelling of 34444225125 in words is "thirty-four billion, four hundred forty-four million, two hundred twenty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 125 225 375 1125 30617089 91851267 153085445 275553801 459256335 765427225 1377769005 2296281675 3827136125 6888845025 11481408375 34444225125