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404241234029 is a prime number
BaseRepresentation
bin1011110000111101010…
…01111011100001101101
31102122102021012101022122
411320132221323201231
523110341223442104
6505412244322325
741130321536543
oct5703651734155
91378367171278
10404241234029
1114648a702296
12664176a33a5
132c173223489
14157cb58dd93
15a7ade206be
hex5e1ea7b86d

404241234029 has 2 divisors, whose sum is σ = 404241234030. Its totient is φ = 404241234028.

The previous prime is 404241233933. The next prime is 404241234041. The reversal of 404241234029 is 920432142404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 403212300100 + 1028933929 = 634990^2 + 32077^2 .

It is a cyclic number.

It is not a de Polignac number, because 404241234029 - 216 = 404241168493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 404241234029.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404241234049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202120617014 + 202120617015.

It is an arithmetic number, because the mean of its divisors is an integer number (202120617015).

Almost surely, 2404241234029 is an apocalyptic number.

It is an amenable number.

404241234029 is a deficient number, since it is larger than the sum of its proper divisors (1).

404241234029 is an equidigital number, since it uses as much as digits as its factorization.

404241234029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55296, while the sum is 35.

The spelling of 404241234029 in words is "four hundred four billion, two hundred forty-one million, two hundred thirty-four thousand, twenty-nine".