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12443302032 = 243737033637
BaseRepresentation
bin10111001011010110…
…11011100010010000
31012010012021020102020
423211223123202100
5200440441131112
65414423051440
7620233215330
oct134553334220
935105236366
1012443302032
115305a12a97
1224b32a0b80
131233c57915
148608550c0
154cc63948c
hex2e5adb890

12443302032 has 40 divisors (see below), whose sum is σ = 36737368896. Its totient is φ = 3555229056.

The previous prime is 12443302019. The next prime is 12443302033. The reversal of 12443302032 is 23020334421.

12443302032 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-3 number, since 3×124433020323 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12443301993 and 12443302011.

It is not an unprimeable number, because it can be changed into a prime (12443302033) 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 7 ways as a sum of consecutive naturals, for example, 18516483 + ... + 18517154.

Almost surely, 212443302032 is an apocalyptic number.

12443302032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12443302032 is an abundant number, since it is smaller than the sum of its proper divisors (24294066864).

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

12443302032 is a wasteful number, since it uses less digits than its factorization.

12443302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37033655 (or 37033649 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 12443302032 its reverse (23020334421), we get a palindrome (35463636453).

The spelling of 12443302032 in words is "twelve billion, four hundred forty-three million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 37033637 74067274 111100911 148134548 222201822 259235459 296269096 444403644 518470918 592538192 777706377 888807288 1036941836 1555412754 1777614576 2073883672 3110825508 4147767344 6221651016 12443302032