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444404004040 = 23511110100101
BaseRepresentation
bin1100111011110001000…
…10101111010011001000
31120111002021112111022001
412131320202233103020
524240114411112130
6540053440040344
744051513464513
oct6357042572310
91514067474261
10444404004040
1116151a5248a7
12721660030b4
1332ba3c26249
141771b60bd7a
15b85ed5a6ca
hex67788af4c8

444404004040 has 16 divisors (see below), whose sum is σ = 999909009180. Its totient is φ = 177761601600.

The previous prime is 444404003977. The next prime is 444404004053. The reversal of 444404004040 is 40400404444.

It can be written as a sum of positive squares in 2 ways, for example, as 443878402564 + 525601476 = 666242^2 + 22926^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5555050011 + ... + 5555050090.

Almost surely, 2444404004040 is an apocalyptic number.

444404004040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444404004040 is an abundant number, since it is smaller than the sum of its proper divisors (555505005140).

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

444404004040 is a wasteful number, since it uses less digits than its factorization.

444404004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110100112 (or 11110100108 counting only the distinct ones).

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

Adding to 444404004040 its reverse (40400404444), we get a palindrome (484804408484).

The spelling of 444404004040 in words is "four hundred forty-four billion, four hundred four million, four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11110100101 22220200202 44440400404 55550500505 88880800808 111101001010 222202002020 444404004040