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404223322404 = 223116314853087
BaseRepresentation
bin1011110000111011001…
…01100110100100100100
31102122101000111101012010
411320131211212210210
523110322132304104
6505410404354220
741130013356216
oct5703545464444
91378330441163
10404223322404
11146480588aa0
12664116a5970
132c16c5c1795
14157c904a5b6
15a7ac583489
hex5e1d966924

404223322404 has 48 divisors (see below), whose sum is σ = 1030562942976. Its totient is φ = 122297767200.

The previous prime is 404223322379. The next prime is 404223322409.

404223322404 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (404223322409) 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 in 15 ways as a sum of consecutive naturals, for example, 2343252 + ... + 2509835.

It is an arithmetic number, because the mean of its divisors is an integer number (21470061312).

Almost surely, 2404223322404 is an apocalyptic number.

404223322404 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404223322404 is an abundant number, since it is smaller than the sum of its proper divisors (626339620572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404223322404 is a wasteful number, since it uses less digits than its factorization.

404223322404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853736 (or 4853734 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

It can be divided in two parts, 404223 and 322404, that added together give a palindrome (726627).

The spelling of 404223322404 in words is "four hundred four billion, two hundred twenty-three million, three hundred twenty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 631 1262 1893 2524 3786 6941 7572 13882 20823 27764 41646 83292 4853087 9706174 14559261 19412348 29118522 53383957 58237044 106767914 160151871 213535828 320303742 640607484 3062297897 6124595794 9186893691 12249191588 18373787382 33685276867 36747574764 67370553734 101055830601 134741107468 202111661202 404223322404