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34415848841 = 1147519712809
BaseRepresentation
bin100000000011010110…
…000010110110001001
310021211111111021012012
4200003112002312021
51030440424130331
623451015025305
72325566613503
oct400326026611
9107744437165
1034415848841
1113660938690
12680596b235
1333261b6bca
141946acad73
15d6664382b
hex803582d89

34415848841 has 16 divisors (see below), whose sum is σ = 38353754880. Its totient is φ = 30613169280.

The previous prime is 34415848837. The next prime is 34415848853. The reversal of 34415848841 is 14884851443.

It is a cyclic number.

It is not a de Polignac number, because 34415848841 - 22 = 34415848837 is a prime.

It is a super-2 number, since 2×344158488412 (a number of 22 digits) contains 22 as substring.

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 34415848841.

It is not an unprimeable number, because it can be changed into a prime (34415848891) 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 15 ways as a sum of consecutive naturals, for example, 2680445 + ... + 2693253.

It is an arithmetic number, because the mean of its divisors is an integer number (2397109680).

Almost surely, 234415848841 is an apocalyptic number.

It is an amenable number.

34415848841 is a deficient number, since it is larger than the sum of its proper divisors (3937906039).

34415848841 is a wasteful number, since it uses less digits than its factorization.

34415848841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18064.

The product of its digits is 1966080, while the sum is 50.

The spelling of 34415848841 in words is "thirty-four billion, four hundred fifteen million, eight hundred forty-eight thousand, eight hundred forty-one".

Divisors: 1 11 47 517 5197 12809 57167 140899 244259 602023 2686849 6622253 66568373 732252103 3128713531 34415848841