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34052144041 = 471018098867
BaseRepresentation
bin11111101101101010…
…100111101110101001
310020220011010011000001
4133231222213232221
51024214322102131
623350543343001
72313562306606
oct375552475651
9106804104001
1034052144041
1113494602903
126723bb1a61
133298a42a76
1419106936ad
15d4474e261
hex7edaa7ba9

34052144041 has 16 divisors (see below), whose sum is σ = 35168359680. Its totient is φ = 32953148800.

The previous prime is 34052144039. The next prime is 34052144047. The reversal of 34052144041 is 14044125043.

It is not a de Polignac number, because 34052144041 - 21 = 34052144039 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34052144047) 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 15 ways as a sum of consecutive naturals, for example, 3835890 + ... + 3844756.

It is an arithmetic number, because the mean of its divisors is an integer number (2198022480).

Almost surely, 234052144041 is an apocalyptic number.

It is an amenable number.

34052144041 is a deficient number, since it is larger than the sum of its proper divisors (1116215639).

34052144041 is a wasteful number, since it uses less digits than its factorization.

34052144041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824.

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 34052144041 its reverse (14044125043), we get a palindrome (48096269084).

The spelling of 34052144041 in words is "thirty-four billion, fifty-two million, one hundred forty-four thousand, forty-one".

Divisors: 1 47 101 809 4747 8867 38023 81709 416749 895567 3840323 7173403 42091649 337149941 724513703 34052144041