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441120444444 = 223212253345679
BaseRepresentation
bin1100110101101001101…
…00111101000000011100
31120011121102221101022200
412122310310331000130
524211403313210234
6534351542011500
743604242624461
oct6326464750034
91504542841280
10441120444444
11160094a99989
12715aa416b90
133279c87c084
14174c94b1668
15b71b953d99
hex66b4d3d01c

441120444444 has 18 divisors (see below), whose sum is σ = 1115054456880. Its totient is φ = 147040148136.

The previous prime is 441120444439. The next prime is 441120444449. The reversal of 441120444444 is 444444021144.

441120444444 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 204 + 4 + 4 + 444 = 666.

It is an interprime number because it is at equal distance from previous prime (441120444439) and next prime (441120444449).

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 12253345679 = 441120444444 / (4 + 4 + 1 + 1 + 2 + 0 + 4 + 4 + 4 + 4 + 4 + 4).

441120444444 is a modest number, since divided by 444444 gives 441120 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 441120444399 and 441120444408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441120444449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6126672804 + ... + 6126672875.

Almost surely, 2441120444444 is an apocalyptic number.

It is an amenable number.

441120444444 is an abundant number, since it is smaller than the sum of its proper divisors (673934012436).

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

441120444444 is a wasteful number, since it uses less digits than its factorization.

441120444444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12253345689 (or 12253345684 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 441120444444 its reverse (444444021144), we get a palindrome (885564465588).

The spelling of 441120444444 in words is "four hundred forty-one billion, one hundred twenty million, four hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 12253345679 24506691358 36760037037 49013382716 73520074074 110280111111 147040148148 220560222222 441120444444