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243540506341 = 1123241852639
BaseRepresentation
bin1110001011010000100…
…1010011011011100101
3212021121202102120122101
43202310021103123211
512442232332200331
6303514142132101
723411106101506
oct3426411233345
9767552376571
10243540506341
11943152a3040
123b249281031
1319c72a511b2
14bb04992bad
156505bba061
hex38b42536e5

243540506341 has 12 divisors (see below), whose sum is σ = 277734119040. Its totient is φ = 211774348280.

The previous prime is 243540506323. The next prime is 243540506351. The reversal of 243540506341 is 143605045342.

243540506341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 243540506341 - 221 = 243538409189 is a prime.

It is a super-3 number, since 3×2435405063413 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 243540506341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243540506351) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20920501 + ... + 20932138.

It is an arithmetic number, because the mean of its divisors is an integer number (23144509920).

Almost surely, 2243540506341 is an apocalyptic number.

It is an amenable number.

243540506341 is a deficient number, since it is larger than the sum of its proper divisors (34193612699).

243540506341 is a wasteful number, since it uses less digits than its factorization.

243540506341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41852696 (or 41852673 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 243540506341 in words is "two hundred forty-three billion, five hundred forty million, five hundred six thousand, three hundred forty-one".

Divisors: 1 11 23 253 529 5819 41852639 460379029 962610697 10588717667 22140046031 243540506341