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404342022321 = 3223284927961
BaseRepresentation
bin1011110001001001010…
…10011010000010110001
31102122200021211221212100
411320210222122002301
523111043024203241
6505430244451013
741132654324136
oct5704452320261
91378607757770
10404342022321
11146531591aa6
12664453a9a69
132c18b081a13
14157dab0858d
15a7b7bcd9b6
hex5e24a9a0b1

404342022321 has 18 divisors (see below), whose sum is σ = 610547118818. Its totient is φ = 257841286560.

The previous prime is 404342022269. The next prime is 404342022361. The reversal of 404342022321 is 123220243404.

404342022321 is a `hidden beast` number, since 4 + 0 + 4 + 3 + 420 + 2 + 232 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 230365441296 + 173976581025 = 479964^2 + 417105^2 .

It is not a de Polignac number, because 404342022321 - 27 = 404342022193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404342022361) 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 17 ways as a sum of consecutive naturals, for example, 42459220 + ... + 42468741.

Almost surely, 2404342022321 is an apocalyptic number.

It is an amenable number.

404342022321 is a deficient number, since it is larger than the sum of its proper divisors (206205096497).

404342022321 is a wasteful number, since it uses less digits than its factorization.

404342022321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84928013 (or 84927987 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 404342022321 its reverse (123220243404), we get a palindrome (527562265725).

The spelling of 404342022321 in words is "four hundred four billion, three hundred forty-two million, twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 23 69 207 529 1587 4761 84927961 254783883 764351649 1953343103 5860029309 17580087927 44926891369 134780674107 404342022321