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444400404040 = 23511110010101
BaseRepresentation
bin1100111011110000101…
…01000000011001001000
31120111002000202121000201
412131320111000121020
524240113000412130
6540053230541544
744051441052055
oct6357025003110
91514060677021
10444400404040
1116151849609a
12721649678b4
1332ba3265778
141771ad5202c
15b85e898bca
hex6778540648

444400404040 has 16 divisors (see below), whose sum is σ = 999900909180. Its totient is φ = 177760161600.

The previous prime is 444400404013. The next prime is 444400404079. The reversal of 444400404040 is 40404004444.

It can be written as a sum of positive squares in 2 ways, for example, as 402531878116 + 41868525924 = 634454^2 + 204618^2 .

It is a super-2 number, since 2×4444004040402 (a number of 24 digits) contains 22 as substring.

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, 5555005011 + ... + 5555005090.

Almost surely, 2444400404040 is an apocalyptic number.

444400404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444400404040 is an abundant number, since it is smaller than the sum of its proper divisors (555500505140).

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

444400404040 is a wasteful number, since it uses less digits than its factorization.

444400404040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110010112 (or 11110010108 counting only the distinct ones).

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

Adding to 444400404040 its reverse (40404004444), we get a palindrome (484804408484).

The spelling of 444400404040 in words is "four hundred forty-four billion, four hundred million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11110010101 22220020202 44440040404 55550050505 88880080808 111100101010 222200202020 444400404040