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12342543409 = 725922692
BaseRepresentation
bin10110111111010110…
…00100010000110001
31011212011200011120101
423133223010100301
5200234142342114
65400423312401
7614600613400
oct133753042061
934764604511
1012342543409
1152640535a9
1224855ab701
131219109a31
14851307637
154c3884d74
hex2dfac4431

12342543409 has 27 divisors (see below), whose sum is σ = 14659623147. Its totient is φ = 10361350608.

The previous prime is 12342543377. The next prime is 12342543413. The reversal of 12342543409 is 90434524321.

The square root of 12342543409 is 111097.

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

12342543409 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 only one way, i.e., 812079009 + 11530464400 = 28497^2 + 107380^2 .

It is not a de Polignac number, because 12342543409 - 25 = 12342543377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12342543419) 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 26 ways as a sum of consecutive naturals, for example, 45882927 + ... + 45883195.

Almost surely, 212342543409 is an apocalyptic number.

12342543409 is the 111097-th square number.

12342543409 is the 55549-th centered octagonal number.

It is an amenable number.

12342543409 is a deficient number, since it is larger than the sum of its proper divisors (2317079738).

12342543409 is an frugal number, since it uses more digits than its factorization.

12342543409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 12342543409 in words is "twelve billion, three hundred forty-two million, five hundred forty-three thousand, four hundred nine".

Divisors: 1 7 49 59 269 413 1883 2891 3481 13181 15871 24367 72361 111097 170569 506527 777679 936389 3545689 4269299 6554723 29885093 45883061 209195651 251888641 1763220487 12342543409