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12294306444 = 22371283114077
BaseRepresentation
bin10110111001100110…
…00011101010001100
31011201210220110220010
423130303003222030
5200134320301234
65351541353220
7613443611010
oct133463035214
934653813803
1012294306444
1152398a7442
122471408810
13120c11ac54
14848b4c540
154be5076e9
hex2dccc3a8c

12294306444 has 48 divisors (see below), whose sum is σ = 32810658048. Its totient is φ = 3509890368.

The previous prime is 12294306443. The next prime is 12294306467. The reversal of 12294306444 is 44460349221.

12294306444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×122943064442 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12294306443) 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, 50734 + ... + 164810.

It is an arithmetic number, because the mean of its divisors is an integer number (683555376).

Almost surely, 212294306444 is an apocalyptic number.

12294306444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12294306444 is an abundant number, since it is smaller than the sum of its proper divisors (20516351604).

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

12294306444 is a wasteful number, since it uses less digits than its factorization.

12294306444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115374 (or 115372 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 12294306444 in words is "twelve billion, two hundred ninety-four million, three hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 1283 2566 3849 5132 7698 8981 15396 17962 26943 35924 53886 107772 114077 228154 342231 456308 684462 798539 1368924 1597078 2395617 3194156 4791234 9582468 146360791 292721582 439082373 585443164 878164746 1024525537 1756329492 2049051074 3073576611 4098102148 6147153222 12294306444