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404404432004 = 22475812124821
BaseRepresentation
bin1011110001010000110…
…00011110110010000100
31102122211122021200212002
411320220120132302010
523111210013311004
6505440354244432
741134342645436
oct5705030366204
91378748250762
10404404432004
11146563839351
1266462286718
132c19ac93721
1415805112656
15a7bd40a61e
hex5e2861ec84

404404432004 has 12 divisors (see below), whose sum is σ = 707722962828. Its totient is φ = 202197871200.

The previous prime is 404404432001. The next prime is 404404432027. The reversal of 404404432004 is 400234404404.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 283021872004 + 121382560000 = 531998^2 + 348400^2 .

It is not an unprimeable number, because it can be changed into a prime (404404432001) 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 3 ways as a sum of consecutive naturals, for example, 872087 + ... + 1252734.

It is an arithmetic number, because the mean of its divisors is an integer number (58976913569).

Almost surely, 2404404432004 is an apocalyptic number.

It is an amenable number.

404404432004 is a deficient number, since it is larger than the sum of its proper divisors (303318530824).

404404432004 is a wasteful number, since it uses less digits than its factorization.

404404432004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172406 (or 2172404 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 29.

Adding to 404404432004 its reverse (400234404404), we get a palindrome (804638836408).

The spelling of 404404432004 in words is "four hundred four billion, four hundred four million, four hundred thirty-two thousand, four".

Divisors: 1 2 4 47581 95162 190324 2124821 4249642 8499284 101101108001 202202216002 404404432004