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12342411424 = 2573179149151
BaseRepresentation
bin10110111111010101…
…00100000010100000
31011212011102110112001
423133222210002200
5200234124131144
65400420413344
7614566523530
oct133752440240
934764373461
1012342411424
115263a73422
122485547254
131219091935
148512b14c0
154c385abd4
hex2dfaa40a0

12342411424 has 192 divisors, whose sum is σ = 29417472000. Its totient is φ = 4987008000.

The previous prime is 12342411421. The next prime is 12342411437. The reversal of 12342411424 is 42411424321.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 12342411392 and 12342411401.

It is not an unprimeable number, because it can be changed into a prime (12342411421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81737749 + ... + 81737899.

It is an arithmetic number, because the mean of its divisors is an integer number (153216000).

Almost surely, 212342411424 is an apocalyptic number.

12342411424 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 12342411424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14708736000).

12342411424 is an abundant number, since it is smaller than the sum of its proper divisors (17075060576).

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

12342411424 is a wasteful number, since it uses less digits than its factorization.

12342411424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

Adding to 12342411424 its reverse (42411424321), we get a palindrome (54753835745).

The spelling of 12342411424 in words is "twelve billion, three hundred forty-two million, four hundred eleven thousand, four hundred twenty-four".