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41424113367 = 347131719127137
BaseRepresentation
bin100110100101000100…
…011100111011010111
310221220220202222210000
4212211010130323113
51134314033111432
631010250302343
72664346103550
oct464504347327
9127826688700
1041424113367
111662791753a
128040a279b3
133ba21247b0
14200d799327
151126a4157c
hex9a511ced7

41424113367 has 320 divisors, whose sum is σ = 86177710080. Its totient is φ = 19187933184.

The previous prime is 41424113327. The next prime is 41424113369. The reversal of 41424113367 is 76331142414.

41424113367 is a `hidden beast` number, since 41 + 4 + 241 + 13 + 367 = 666.

It is not a de Polignac number, because 41424113367 - 27 = 41424113239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41424113369) 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 319 ways as a sum of consecutive naturals, for example, 302365723 + ... + 302365859.

It is an arithmetic number, because the mean of its divisors is an integer number (269305344).

Almost surely, 241424113367 is an apocalyptic number.

41424113367 is an abundant number, since it is smaller than the sum of its proper divisors (44753596713).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41424113367 is a wasteful number, since it uses less digits than its factorization.

41424113367 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The spelling of 41424113367 in words is "forty-one billion, four hundred twenty-four million, one hundred thirteen thousand, three hundred sixty-seven".