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400444112009 is a prime number
BaseRepresentation
bin1011101001111000101…
…01000011110010001001
31102021121122020121010202
411310330111003302021
523030102143041014
6503543403021545
740634243535134
oct5647425036211
91367548217122
10400444112009
11144911297317
1265737b0a8b5
132b9b9656006
141554b16b21b
15a63a8c23de
hex5d3c543c89

400444112009 has 2 divisors, whose sum is σ = 400444112010. Its totient is φ = 400444112008.

The previous prime is 400444111993. The next prime is 400444112011. The reversal of 400444112009 is 900211444004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267292102009 + 133152010000 = 517003^2 + 364900^2 .

It is a cyclic number.

It is not a de Polignac number, because 400444112009 - 24 = 400444111993 is a prime.

Together with 400444112011, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (400444162009) 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 as a sum of consecutive naturals, namely, 200222056004 + 200222056005.

It is an arithmetic number, because the mean of its divisors is an integer number (200222056005).

Almost surely, 2400444112009 is an apocalyptic number.

It is an amenable number.

400444112009 is a deficient number, since it is larger than the sum of its proper divisors (1).

400444112009 is an equidigital number, since it uses as much as digits as its factorization.

400444112009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 29.

The spelling of 400444112009 in words is "four hundred billion, four hundred forty-four million, one hundred twelve thousand, nine".