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12443042304 = 293271135069
BaseRepresentation
bin10111001011010100…
…11100001000000000
31012010011210001010200
423211222130020000
5200440404323204
65414413325200
7620231054160
oct134552341000
935104701120
1012443042304
115305855940
1224b3196800
131233b96634
148607c85a0
154cc5d7539
hex2e5a9c200

12443042304 has 240 divisors, whose sum is σ = 44774009280. Its totient is φ = 3231866880.

The previous prime is 12443042303. The next prime is 12443042309. The reversal of 12443042304 is 40324034421.

It is a happy number.

12443042304 is a `hidden beast` number, since 12 + 44 + 304 + 2 + 304 = 666.

It is not an unprimeable number, because it can be changed into a prime (12443042303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 337282 + ... + 372350.

It is an arithmetic number, because the mean of its divisors is an integer number (186558372).

Almost surely, 212443042304 is an apocalyptic number.

12443042304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12443042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22387004640).

12443042304 is an abundant number, since it is smaller than the sum of its proper divisors (32330966976).

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

12443042304 is a wasteful number, since it uses less digits than its factorization.

12443042304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35111 (or 35092 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12443042304 its reverse (40324034421), we get a palindrome (52767076725).

The spelling of 12443042304 in words is "twelve billion, four hundred forty-three million, forty-two thousand, three hundred four".