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441445545544144 = 2427590346596509
BaseRepresentation
bin110010001011111100000110…
…0111011100000100111010000
32010220000210010002011021212111
41210113320030323200213100
5430330120434124403034
64202513141201035104
7161661250100260201
oct14427701473404720
92126023102137774
10441445545544144
11118727005aa8429
1241617130025a94
1315c421a06707ab
147b0211520b5a8
15360802975b364
hex1917e0cee09d0

441445545544144 has 10 divisors (see below), whose sum is σ = 855300744491810. Its totient is φ = 220722772772064.

The previous prime is 441445545544141. The next prime is 441445545544163.

441445545544144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 381050701070400 + 60394844473744 = 19520520^2 + 7771412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441445545544141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13795173298239 + ... + 13795173298270.

It is an arithmetic number, because the mean of its divisors is an integer number (85530074449181).

Almost surely, 2441445545544144 is an apocalyptic number.

It is an amenable number.

441445545544144 is a deficient number, since it is larger than the sum of its proper divisors (413855198947666).

441445545544144 is a wasteful number, since it uses less digits than its factorization.

441445545544144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27590346596517 (or 27590346596511 counting only the distinct ones).

The product of its digits is 163840000, while the sum is 58.

The spelling of 441445545544144 in words is "four hundred forty-one trillion, four hundred forty-five billion, five hundred forty-five million, five hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 27590346596509 55180693193018 110361386386036 220722772772072 441445545544144