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444400044004 = 22715871430143
BaseRepresentation
bin1100111011110000100…
…11101000011111100100
31120111002000002022011001
412131320103220133210
524240112402402004
6540053215123044
744051435022310
oct6357023503744
91514060068131
10444400044004
1116151826a644
1272164813484
1332ba316a927
141771ac9ab40
15b85e8271a4
hex67784e87e4

444400044004 has 12 divisors (see below), whose sum is σ = 888800088064. Its totient is φ = 190457161704.

The previous prime is 444400043977. The next prime is 444400044047. The reversal of 444400044004 is 400440004444.

444400044004 is an admirable number.

It is a super-2 number, since 2×4444000440042 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 15871430143 = 444400044004 / (4 + 4 + 4 + 4 + 0 + 0 + 0 + 4 + 4 + 0 + 0 + 4).

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, 7935715044 + ... + 7935715099.

Almost surely, 2444400044004 is an apocalyptic number.

It is an amenable number.

444400044004 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

444400044004 is a wasteful number, since it uses less digits than its factorization.

444400044004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15871430154 (or 15871430152 counting only the distinct ones).

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

Adding to 444400044004 its reverse (400440004444), we get a palindrome (844840048448).

The spelling of 444400044004 in words is "four hundred forty-four billion, four hundred million, forty-four thousand, four".

Divisors: 1 2 4 7 14 28 15871430143 31742860286 63485720572 111100011001 222200022002 444400044004