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34041345047 = 89214928843
BaseRepresentation
bin11111101101000001…
…011011010000010111
310020212101210111120022
4133231001123100113
51024204041020142
623345520055355
72313401441633
oct375501332027
9106771714508
1034041345047
11134894a7416
12672046455b
133296731628
14190d081dc3
15d438196d2
hex7ed05b417

34041345047 has 12 divisors (see below), whose sum is σ = 34660392600. Its totient is φ = 33431800512.

The previous prime is 34041345031. The next prime is 34041345097. The reversal of 34041345047 is 74054314043.

It is not a de Polignac number, because 34041345047 - 24 = 34041345031 is a prime.

It is a super-2 number, since 2×340413450472 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34041344998 and 34041345016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041345097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1165808 + ... + 1194650.

It is an arithmetic number, because the mean of its divisors is an integer number (2888366050).

Almost surely, 234041345047 is an apocalyptic number.

34041345047 is a deficient number, since it is larger than the sum of its proper divisors (619047553).

34041345047 is an equidigital number, since it uses as much as digits as its factorization.

34041345047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29170 (or 29081 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The spelling of 34041345047 in words is "thirty-four billion, forty-one million, three hundred forty-five thousand, forty-seven".

Divisors: 1 89 149 7921 13261 28843 1180229 2567027 4297607 228465403 382487023 34041345047