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34411412241 = 325099749851
BaseRepresentation
bin100000000011000101…
…000111101100010001
310021211012010212022200
4200003011013230101
51030433310142431
623450335553413
72325514115013
oct400305075421
9107735125280
1034411412241
1113659388378
12680438b869
1333252c26bb
1419462941b3
15d66068ee6
hex803147b11

34411412241 has 12 divisors (see below), whose sum is σ = 49715187600. Its totient is φ = 22936411800.

The previous prime is 34411412227. The next prime is 34411412261. The reversal of 34411412241 is 14221411443.

34411412241 is a `hidden beast` number, since 3 + 4 + 4 + 1 + 1 + 412 + 241 = 666.

It is not a de Polignac number, because 34411412241 - 211 = 34411410193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34411412261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329035 + ... + 420816.

It is an arithmetic number, because the mean of its divisors is an integer number (4142932300).

Almost surely, 234411412241 is an apocalyptic number.

It is an amenable number.

34411412241 is a deficient number, since it is larger than the sum of its proper divisors (15303775359).

34411412241 is a wasteful number, since it uses less digits than its factorization.

34411412241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754956 (or 754953 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

Adding to 34411412241 its reverse (14221411443), we get a palindrome (48632823684).

The spelling of 34411412241 in words is "thirty-four billion, four hundred eleven million, four hundred twelve thousand, two hundred forty-one".

Divisors: 1 3 9 5099 15297 45891 749851 2249553 6748659 3823490249 11470470747 34411412241