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12305435044 = 2271943537919
BaseRepresentation
bin10110111010111011…
…00000100110100100
31011202120211212110111
423131131200212210
5200200142410134
65353020102404
7613640320630
oct133535404644
934676755414
1012305435044
115245108531
122475094a04
131211516416
1484a407dc0
154c04a4c64
hex2dd7609a4

12305435044 has 48 divisors (see below), whose sum is σ = 26508697600. Its totient is φ = 4879992096.

The previous prime is 12305435033. The next prime is 12305435047. The reversal of 12305435044 is 44053450321.

12305435044 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12305434997 and 12305435015.

It is not an unprimeable number, because it can be changed into a prime (12305435047) 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 15 ways as a sum of consecutive naturals, for example, 246084 + ... + 291835.

Almost surely, 212305435044 is an apocalyptic number.

12305435044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12305435044 is an abundant number, since it is smaller than the sum of its proper divisors (14203262556).

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

12305435044 is a wasteful number, since it uses less digits than its factorization.

12305435044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537992 (or 537990 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 12305435044 its reverse (44053450321), we get a palindrome (56358885365).

The spelling of 12305435044 in words is "twelve billion, three hundred five million, four hundred thirty-five thousand, forty-four".

Divisors: 1 2 4 7 14 19 28 38 43 76 86 133 172 266 301 532 602 817 1204 1634 3268 5719 11438 22876 537919 1075838 2151676 3765433 7530866 10220461 15061732 20440922 23130517 40881844 46261034 71543227 92522068 143086454 161913619 286172908 323827238 439479823 647654476 878959646 1757919292 3076358761 6152717522 12305435044