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12421424144 = 246112726869
BaseRepresentation
bin10111001000101111…
…11110010000010000
31012001200002201121002
423210113332100100
5200414341033034
65412322121132
7616546235363
oct134427762020
935050081532
1012421424144
1152a462a898
1224a7ab01a8
13122c56781c
1485b99c0da
154ca766e7e
hex2e45fe410

12421424144 has 20 divisors (see below), whose sum is σ = 24461044140. Its totient is φ = 6108896640.

The previous prime is 12421424123. The next prime is 12421424203. The reversal of 12421424144 is 44142412421.

It can be written as a sum of positive squares in 2 ways, for example, as 268566544 + 12152857600 = 16388^2 + 110240^2 .

It is a super-2 number, since 2×124214241442 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6362459 + ... + 6364410.

It is an arithmetic number, because the mean of its divisors is an integer number (1223052207).

Almost surely, 212421424144 is an apocalyptic number.

It is an amenable number.

12421424144 is a deficient number, since it is larger than the sum of its proper divisors (12039619996).

12421424144 is a wasteful number, since it uses less digits than its factorization.

12421424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12726938 (or 12726932 counting only the distinct ones).

The product of its digits is 8192, while the sum is 29.

Adding to 12421424144 its reverse (44142412421), we get a palindrome (56563836565).

The spelling of 12421424144 in words is "twelve billion, four hundred twenty-one million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 61 122 244 488 976 12726869 25453738 50907476 101814952 203629904 776339009 1552678018 3105356036 6210712072 12421424144