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12334244040 = 233252329311657
BaseRepresentation
bin10110111110010110…
…11010000011001000
31011211121001111222100
423133023122003020
5200230031302130
65355525353400
7614440226106
oct133713320310
934747044870
1012334244040
11525a3a5118
122482868860
131217492271
14850186c76
154c2c95c60
hex2df2da0c8

12334244040 has 384 divisors, whose sum is σ = 44694374400. Its totient is φ = 2937876480.

The previous prime is 12334244029. The next prime is 12334244047. The reversal of 12334244040 is 4044243321.

It is a happy number.

12334244040 is a `hidden beast` number, since 1 + 233 + 4 + 24 + 404 + 0 = 666.

12334244040 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 = 12334243995 and 12334244013.

It is not an unprimeable number, because it can be changed into a prime (12334244047) 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 95 ways as a sum of consecutive naturals, for example, 7442892 + ... + 7444548.

It is an arithmetic number, because the mean of its divisors is an integer number (116391600).

Almost surely, 212334244040 is an apocalyptic number.

12334244040 is a gapful number since it is divisible by the number (10) 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 12334244040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22347187200).

12334244040 is an abundant number, since it is smaller than the sum of its proper divisors (32360130360).

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

12334244040 is a wasteful number, since it uses less digits than its factorization.

12334244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757 (or 1750 counting only the distinct ones).

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

Adding to 12334244040 its reverse (4044243321), we get a palindrome (16378487361).

The spelling of 12334244040 in words is "twelve billion, three hundred thirty-four million, two hundred forty-four thousand, forty".