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12243524461440 = 273541337461521
BaseRepresentation
bin1011001000101010101011…
…1011010010001110000000
31121100110200021022111222020
42302022222323102032000
53101044214230231230
642012333020241440
72402364643540056
oct262125273221600
947313607274866
1012243524461440
1139a04a4409098
121458a636a0280
136aa73701394c
143048383961d6
151637374bb810
hexb22aaed2380

12243524461440 has 256 divisors, whose sum is σ = 40096809829440. Its totient is φ = 3175848345600.

The previous prime is 12243524461423. The next prime is 12243524461537. The reversal of 12243524461440 is 4416442534221.

It is a junction number, because it is equal to n+sod(n) for n = 12243524461392 and 12243524461401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26297880 + ... + 26759400.

Almost surely, 212243524461440 is an apocalyptic number.

12243524461440 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 12243524461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048404914720).

12243524461440 is an abundant number, since it is smaller than the sum of its proper divisors (27853285368000).

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

12243524461440 is a wasteful number, since it uses less digits than its factorization.

12243524461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461921 (or 461909 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

Adding to 12243524461440 its reverse (4416442534221), we get a palindrome (16659966995661).

The spelling of 12243524461440 in words is "twelve trillion, two hundred forty-three billion, five hundred twenty-four million, four hundred sixty-one thousand, four hundred forty".