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12640280041 = 1124292
BaseRepresentation
bin10111100010110101…
…10101110111101001
31012121220220202110001
423301122311313221
5201341402430131
65450141023001
7625144415254
oct136132656751
935556822401
1012640280041
1153a7121534
122549254a61
1312659c455c
1487ca8c09b
154dea98261
hex2f16b5de9

12640280041 has 3 divisors (see below), whose sum is σ = 12640392471. Its totient is φ = 12640167612.

The previous prime is 12640280021. The next prime is 12640280053. The reversal of 12640280041 is 14008204621.

The square root of 12640280041 is 112429.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 14008204621 = 46130386561.

It can be written as a sum of positive squares in only one way, i.e., 9260020441 + 3380259600 = 96229^2 + 58140^2 .

It is not a de Polignac number, because 12640280041 - 29 = 12640279529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12640279991 and 12640280009.

It is not an unprimeable number, because it can be changed into a prime (12640280021) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 56215 + ... + 168643.

It is an arithmetic number, because the mean of its divisors is an integer number (4213464157).

Almost surely, 212640280041 is an apocalyptic number.

12640280041 is the 112429-th square number.

12640280041 is the 56215-th centered octagonal number.

It is an amenable number.

12640280041 is a deficient number, since it is larger than the sum of its proper divisors (112430).

12640280041 is an frugal number, since it uses more digits than its factorization.

12640280041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224858 (or 112429 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 12640280041 its reverse (14008204621), we get a palindrome (26648484662).

It can be divided in two parts, 12640 and 280041, that added together give a square (292681 = 5412).

The spelling of 12640280041 in words is "twelve billion, six hundred forty million, two hundred eighty thousand, forty-one".

Divisors: 1 112429 12640280041