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34481104038041 = 1443717033140221
BaseRepresentation
bin1111101011100010000011…
…11101010010100010011001
311112002100202102111211212212
413311301001331102202121
514004414300113204131
6201200222302244505
710156114621266623
oct765610175224231
9145070672454785
1034481104038041
11aa94399344231
123a4a803b86735
13163172864376b
14872c740d7c13
153ebdeca2da2b
hex1f5c41f52899

34481104038041 has 8 divisors (see below), whose sum is σ = 34485762870024. Its totient is φ = 34476445549440.

The previous prime is 34481104038019. The next prime is 34481104038053. The reversal of 34481104038041 is 14083040118443.

It can be written as a sum of positive squares in 4 ways, for example, as 486082262416 + 33995021775625 = 697196^2 + 5830525^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34481104038041 - 226 = 34481036929177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34481104038041.

It is not an unprimeable number, because it can be changed into a prime (34481104038001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245835311 + ... + 245975531.

It is an arithmetic number, because the mean of its divisors is an integer number (4310720358753).

Almost surely, 234481104038041 is an apocalyptic number.

It is an amenable number.

34481104038041 is a deficient number, since it is larger than the sum of its proper divisors (4658831983).

34481104038041 is a wasteful number, since it uses less digits than its factorization.

34481104038041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171691.

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 34481104038041 in words is "thirty-four trillion, four hundred eighty-one billion, one hundred four million, thirty-eight thousand, forty-one".

Divisors: 1 14437 17033 140221 245905421 2024370577 2388384293 34481104038041