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44164804041 = 336133181013
BaseRepresentation
bin101001001000011011…
…010110110111001001
311012222220212111121000
4221020123112313021
51210422142212131
632142233005213
73122305432431
oct511033266711
9135886774530
1044164804041
1117803975a56
128686853809
13421ab87257
1421cd7812c1
151237462ce6
hexa486d6dc9

44164804041 has 32 divisors (see below), whose sum is σ = 66703687040. Its totient is φ = 28872676800.

The previous prime is 44164804037. The next prime is 44164804043. The reversal of 44164804041 is 14040846144.

44164804041 is a `hidden beast` number, since 4 + 4 + 1 + 648 + 0 + 4 + 0 + 4 + 1 = 666.

44164804041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 44164804041 - 22 = 44164804037 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 44164803987 and 44164804005.

It is not an unprimeable number, because it can be changed into a prime (44164804043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504651 + ... + 585663.

It is an arithmetic number, because the mean of its divisors is an integer number (2084490220).

Almost surely, 244164804041 is an apocalyptic number.

It is an amenable number.

44164804041 is a deficient number, since it is larger than the sum of its proper divisors (22538882999).

44164804041 is a wasteful number, since it uses less digits than its factorization.

44164804041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81414 (or 81408 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 44164804041 in words is "forty-four billion, one hundred sixty-four million, eight hundred four thousand, forty-one".

Divisors: 1 3 9 27 61 183 331 549 993 1647 2979 8937 20191 60573 81013 181719 243039 545157 729117 2187351 4941793 14825379 26815303 44476137 80445909 133428411 241337727 724013181 1635733483 4907200449 14721601347 44164804041