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12344230577 = 727326912829
BaseRepresentation
bin10110111111100011…
…00000001010110001
31011212021211212221002
423133301200022301
5200240110334302
65400523411345
7614621141300
oct133761401261
934767755832
1012344230577
115264aa6158
122486083b55
13121957a963
14851626437
154c3ab9c02
hex2dfc602b1

12344230577 has 24 divisors (see below), whose sum is σ = 14611573800. Its totient is φ = 10396221696.

The previous prime is 12344230559. The next prime is 12344230603. The reversal of 12344230577 is 77503244321.

12344230577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1189491121 + 11154739456 = 34489^2 + 105616^2 .

It is not a de Polignac number, because 12344230577 - 28 = 12344230321 is a prime.

It is a super-3 number, since 3×123442305773 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12344230577.

It is not an unprimeable number, because it can be changed into a prime (12344230537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 955799 + ... + 968627.

It is an arithmetic number, because the mean of its divisors is an integer number (608815575).

Almost surely, 212344230577 is an apocalyptic number.

It is an amenable number.

12344230577 is a deficient number, since it is larger than the sum of its proper divisors (2267343223).

12344230577 is a wasteful number, since it uses less digits than its factorization.

12344230577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13185 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 38.

Adding to 12344230577 its reverse (77503244321), we get a palindrome (89847474898).

The spelling of 12344230577 in words is "twelve billion, three hundred forty-four million, two hundred thirty thousand, five hundred seventy-seven".

Divisors: 1 7 49 73 269 511 1883 3577 12829 13181 19637 89803 137459 628621 936517 962213 3451001 6555619 24157007 45889333 169099049 251923073 1763461511 12344230577