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404168418004 = 221369111248147
BaseRepresentation
bin1011110000110100101…
…00001010001011010100
31102122020012011221111211
411320122110022023110
523110214103334004
6505401123511204
741125445604121
oct5703224121324
91378205157454
10404168418004
1114645259855a
12663b7228504
132c161109c80
14157c1a37748
15a7a783a504
hex5e1a50a2d4

404168418004 has 24 divisors (see below), whose sum is σ = 762804404768. Its totient is φ = 186269297760.

The previous prime is 404168418001. The next prime is 404168418023. The reversal of 404168418004 is 400814861404.

It is a happy number.

It is a super-2 number, since 2×4041684180042 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404168418001) 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 7 ways as a sum of consecutive naturals, for example, 5588142 + ... + 5660005.

Almost surely, 2404168418004 is an apocalyptic number.

It is an amenable number.

404168418004 is a deficient number, since it is larger than the sum of its proper divisors (358635986764).

404168418004 is a wasteful number, since it uses less digits than its factorization.

404168418004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11248855 (or 11248853 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The spelling of 404168418004 in words is "four hundred four billion, one hundred sixty-eight million, four hundred eighteen thousand, four".

Divisors: 1 2 4 13 26 52 691 1382 2764 8983 17966 35932 11248147 22496294 44992588 146225911 292451822 584903644 7772469577 15544939154 31089878308 101042104501 202084209002 404168418004