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415204431017 = 29102114022913
BaseRepresentation
bin1100000101011000001…
…11001101010010101001
31110200201022101111022112
412002230013031102221
523300314313243032
6514424155532105
741666103301145
oct6025407152251
91420638344275
10415204431017
111500a6093472
126857715a035
13301cc63349c
141614b600225
15ac016401b2
hex60ac1cd4a9

415204431017 has 8 divisors (see below), whose sum is σ = 429942543240. Its totient is φ = 400494366720.

The previous prime is 415204430941. The next prime is 415204431077. The reversal of 415204431017 is 710134402514.

It can be written as a sum of positive squares in 4 ways, for example, as 68223350416 + 346981080601 = 261196^2 + 589051^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 415204431017 - 28 = 415204430761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (415204431077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6981848 + ... + 7041065.

It is an arithmetic number, because the mean of its divisors is an integer number (53742817905).

Almost surely, 2415204431017 is an apocalyptic number.

It is an amenable number.

415204431017 is a deficient number, since it is larger than the sum of its proper divisors (14738112223).

415204431017 is a wasteful number, since it uses less digits than its factorization.

415204431017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14023963.

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 415204431017 in words is "four hundred fifteen billion, two hundred four million, four hundred thirty-one thousand, seventeen".

Divisors: 1 29 1021 29609 14022913 406664477 14317394173 415204431017