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441344235553 = 13313317577593
BaseRepresentation
bin1100110110000100010…
…10101001100000100001
31120012012001001011000021
412123002022221200201
524212333111014203
6534430054353441
743612631050624
oct6330212514041
91505161034007
10441344235553
1116019a351511
127165135b881
1332807046250
141750b0c7dbb
15b73140c5bd
hex66c22a9821

441344235553 has 32 divisors (see below), whose sum is σ = 479953416096. Its totient is φ = 403428999168.

The previous prime is 441344235499. The next prime is 441344235559. The reversal of 441344235553 is 355532443144.

It can be written as a sum of positive squares in 16 ways, for example, as 229309772769 + 212034462784 = 478863^2 + 460472^2 .

It is not a de Polignac number, because 441344235553 - 29 = 441344235041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (441344235559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 744256425 + ... + 744257017.

It is an arithmetic number, because the mean of its divisors is an integer number (14998544253).

Almost surely, 2441344235553 is an apocalyptic number.

It is an amenable number.

441344235553 is a deficient number, since it is larger than the sum of its proper divisors (38609180543).

441344235553 is a wasteful number, since it uses less digits than its factorization.

441344235553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813.

The product of its digits is 1728000, while the sum is 43.

Adding to 441344235553 its reverse (355532443144), we get a palindrome (796876678697).

The spelling of 441344235553 in words is "four hundred forty-one billion, three hundred forty-four million, two hundred thirty-five thousand, five hundred fifty-three".

Divisors: 1 13 313 317 577 593 4069 4121 7501 7709 99221 180601 182909 185609 187981 342161 1289873 2347813 2377817 2412917 2443753 4448093 57250517 58838053 107096393 108465037 744256721 764894689 1392253109 1410045481 33949556581 441344235553