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404112029 is a prime number
BaseRepresentation
bin11000000101100…
…100001010011101
31001011102000111012
4120011210022131
51311423041104
6104033305005
713004616116
oct3005441235
91034360435
10404112029
11198124392
12b3405165
1365951159
143b95520d
1525726d6e
hex1816429d

404112029 has 2 divisors, whose sum is σ = 404112030. Its totient is φ = 404112028.

The previous prime is 404112017. The next prime is 404112061. The reversal of 404112029 is 920211404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 273009529 + 131102500 = 16523^2 + 11450^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404112029 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 404111995 and 404112013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404112229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202056014 + 202056015.

It is an arithmetic number, because the mean of its divisors is an integer number (202056015).

Almost surely, 2404112029 is an apocalyptic number.

It is an amenable number.

404112029 is a deficient number, since it is larger than the sum of its proper divisors (1).

404112029 is an equidigital number, since it uses as much as digits as its factorization.

404112029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 404112029 is about 20102.5378746068. The cubic root of 404112029 is about 739.3225044622.

The spelling of 404112029 in words is "four hundred four million, one hundred twelve thousand, twenty-nine".