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12343045440000 = 29354112591801
BaseRepresentation
bin1011001110011101011011…
…0101101100001000000000
31121200222120001121001100010
42303213112311230020000
53104212024113040000
642130152232224520
72412520113104442
oct263472665541000
947628501531303
1012343045440000
113a29724406300
1214741b8b3b140
136b6c37504c42
14309599962492
1516610e633d50
hexb39d6d6c200

12343045440000 has 1200 divisors, whose sum is σ = 45956223925920. Its totient is φ = 2939904000000.

The previous prime is 12343045439951. The next prime is 12343045440067. The reversal of 12343045440000 is 4454034321.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 12343045440000.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6853439100 + ... + 6853440900.

Almost surely, 212343045440000 is an apocalyptic number.

12343045440000 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 12343045440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22978111962960).

12343045440000 is an abundant number, since it is smaller than the sum of its proper divisors (33613178485920).

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

12343045440000 is an equidigital number, since it uses as much as digits as its factorization.

12343045440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1881 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 12343045440000 its reverse (4454034321), we get a palindrome (12347499474321).

The spelling of 12343045440000 in words is "twelve trillion, three hundred forty-three billion, forty-five million, four hundred forty thousand".