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404044440040 = 23541246368561
BaseRepresentation
bin1011110000100101110…
…11001110000111101000
31102121220112220012201101
411320102323032013220
523104440334040130
6505340534331144
741122412034253
oct5702273160750
91377815805641
10404044440040
1114639960a02a
12663817b9ab4
132c14151c527
14157ad3a409a
15a79b9eb1ca
hex5e12ece1e8

404044440040 has 32 divisors (see below), whose sum is σ = 931273164360. Its totient is φ = 157675878400.

The previous prime is 404044439987. The next prime is 404044440049. The reversal of 404044440040 is 40044440404.

It can be written as a sum of positive squares in 4 ways, for example, as 199796484196 + 204247955844 = 446986^2 + 451938^2 .

It is a junction number, because it is equal to n+sod(n) for n = 404044439990 and 404044440008.

It is not an unprimeable number, because it can be changed into a prime (404044440049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 123182641 + ... + 123185920.

Almost surely, 2404044440040 is an apocalyptic number.

404044440040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

404044440040 is an abundant number, since it is smaller than the sum of its proper divisors (527228724320).

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

404044440040 is a wasteful number, since it uses less digits than its factorization.

404044440040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246368613 (or 246368609 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 404044440040 its reverse (40044440404), we get a palindrome (444088880444).

The spelling of 404044440040 in words is "four hundred four billion, forty-four million, four hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1640 246368561 492737122 985474244 1231842805 1970948488 2463685610 4927371220 9854742440 10101111001 20202222002 40404444004 50505555005 80808888008 101011110010 202022220020 404044440040