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404044442604 = 2232111020314249
BaseRepresentation
bin1011110000100101110…
…11001110101111101100
31102121220112220100020100
411320102323032233230
523104440334130404
6505340534351100
741122412044605
oct5702273165754
91377815810210
10404044442604
11146399610a50
12663817bb490
132c14152074a
14157ad3a4dac
15a79b9ebd39
hex5e12ecebec

404044442604 has 36 divisors (see below), whose sum is σ = 1114183161000. Its totient is φ = 122437709760.

The previous prime is 404044442603. The next prime is 404044442611. The reversal of 404044442604 is 406244440404.

404044442604 is a `hidden beast` number, since 4 + 0 + 4 + 0 + 4 + 4 + 4 + 42 + 604 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (404044442603) 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 in 11 ways as a sum of consecutive naturals, for example, 510156729 + ... + 510157520.

It is an arithmetic number, because the mean of its divisors is an integer number (30949532250).

Almost surely, 2404044442604 is an apocalyptic number.

404044442604 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

404044442604 is an abundant number, since it is smaller than the sum of its proper divisors (710138718396).

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

404044442604 is a wasteful number, since it uses less digits than its factorization.

404044442604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020314270 (or 1020314265 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

It can be divided in two parts, 404044 and 442604, that added together give a palindrome (846648).

The spelling of 404044442604 in words is "four hundred four billion, forty-four million, four hundred forty-two thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1020314249 2040628498 3060942747 4081256996 6121885494 9182828241 11223456739 12243770988 18365656482 22446913478 33670370217 36731312964 44893826956 67340740434 101011110651 134681480868 202022221302 404044442604