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12442032353 = 113409269209
BaseRepresentation
bin10111001011001101…
…00101100011100001
31012010002212201202002
423211212211203201
5200440130013403
65414335533345
7620216346542
oct134546454341
935102781662
1012442032353
115305226073
1224b298a255
131233901a2a
148606044c9
154cc488188
hex2e59a58e1

12442032353 has 8 divisors (see below), whose sum is σ = 12582875400. Its totient is φ = 12301728768.

The previous prime is 12442032349. The next prime is 12442032391. The reversal of 12442032353 is 35323024421.

It is a happy number.

12442032353 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1184185744 + 11257846609 = 34412^2 + 106103^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12442032353 - 22 = 12442032349 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12442032553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88388 + ... + 180821.

It is an arithmetic number, because the mean of its divisors is an integer number (1572859425).

Almost surely, 212442032353 is an apocalyptic number.

It is an amenable number.

12442032353 is a deficient number, since it is larger than the sum of its proper divisors (140843047).

12442032353 is a wasteful number, since it uses less digits than its factorization.

12442032353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269731.

The product of its (nonzero) digits is 17280, while the sum is 29.

Adding to 12442032353 its reverse (35323024421), we get a palindrome (47765056774).

The spelling of 12442032353 in words is "twelve billion, four hundred forty-two million, thirty-two thousand, three hundred fifty-three".

Divisors: 1 113 409 46217 269209 30420617 110106481 12442032353