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404134141141 is a prime number
BaseRepresentation
bin1011110000110000100…
…01011001110011010101
31102122010210200111111101
411320120101121303111
523110131320004031
6505353501110101
741124551343433
oct5703021316325
91378123614441
10404134141141
11146435206875
12663a7858331
132c156c983c3
14157bb273d53
15a7a4819361
hex5e18459cd5

404134141141 has 2 divisors, whose sum is σ = 404134141142. Its totient is φ = 404134141140.

The previous prime is 404134141133. The next prime is 404134141153. The reversal of 404134141141 is 141141431404.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 248057786916 + 156076354225 = 498054^2 + 395065^2 .

It is a cyclic number.

It is not a de Polignac number, because 404134141141 - 23 = 404134141133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404134141121) 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, 202067070570 + 202067070571.

It is an arithmetic number, because the mean of its divisors is an integer number (202067070571).

Almost surely, 2404134141141 is an apocalyptic number.

It is an amenable number.

404134141141 is a deficient number, since it is larger than the sum of its proper divisors (1).

404134141141 is an equidigital number, since it uses as much as digits as its factorization.

404134141141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 404134141141 its reverse (141141431404), we get a palindrome (545275572545).

The spelling of 404134141141 in words is "four hundred four billion, one hundred thirty-four million, one hundred forty-one thousand, one hundred forty-one".