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444040404040 = 23511101010101
BaseRepresentation
bin1100111011000101101…
…11101101110001001000
31120110010221100200212101
412131202313231301020
524233343320412130
6535553410523144
744036510105302
oct6354267556110
91513127320771
10444040404040
11161353260832
12720842964b4
1332b467baa0c
14176c5200972
15b83ce871ca
hex6762dedc48

444040404040 has 16 divisors (see below), whose sum is σ = 999090909180. Its totient is φ = 177616161600.

The previous prime is 444040404013. The next prime is 444040404089. The reversal of 444040404040 is 40404040444.

It can be written as a sum of positive squares in 2 ways, for example, as 418332129796 + 25708274244 = 646786^2 + 160338^2 .

444040404040 is a modest number, since divided by 40404040 gives 4440 as remainder.

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, 5550505011 + ... + 5550505090.

Almost surely, 2444040404040 is an apocalyptic number.

444040404040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444040404040 is an abundant number, since it is smaller than the sum of its proper divisors (555050505140).

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

444040404040 is a wasteful number, since it uses less digits than its factorization.

444040404040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11101010112 (or 11101010108 counting only the distinct ones).

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

Adding to 444040404040 its reverse (40404040444), we get a palindrome (484444444484).

It can be divided in two parts, 4 and 44040404040, that added together give a palindrome (44040404044).

The spelling of 444040404040 in words is "four hundred forty-four billion, forty million, four hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 11101010101 22202020202 44404040404 55505050505 88808080808 111010101010 222020202020 444040404040