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12340034312424 = 233713283270549
BaseRepresentation
bin1011001110010010001101…
…0111001001100011101000
31121200200210012121220211120
42303210203113021203220
53104134342240444144
642124533345255240
72412352360665030
oct263444327114350
947620705556746
1012340034312424
113a28419735615
1214736b8634520
136b6877725850
14309391aa08c0
15165ed50e2e19
hexb39235c98e8

12340034312424 has 192 divisors, whose sum is σ = 38104517808000. Its totient is φ = 3242968524288.

The previous prime is 12340034312387. The next prime is 12340034312429. The reversal of 12340034312424 is 42421343004321.

It is not an unprimeable number, because it can be changed into a prime (12340034312429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174879102 + ... + 174949650.

It is an arithmetic number, because the mean of its divisors is an integer number (198461030250).

Almost surely, 212340034312424 is an apocalyptic number.

12340034312424 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 12340034312424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19052258904000).

12340034312424 is an abundant number, since it is smaller than the sum of its proper divisors (25764483495576).

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

12340034312424 is a wasteful number, since it uses less digits than its factorization.

12340034312424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71144 (or 70857 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 12340034312424 its reverse (42421343004321), we get a palindrome (54761377316745).

The spelling of 12340034312424 in words is "twelve trillion, three hundred forty billion, thirty-four million, three hundred twelve thousand, four hundred twenty-four".