Search a number
-
+
243548422057441 is a prime number
BaseRepresentation
bin110111011000000110001001…
…001011101010110111100001
31011221100000001021200102221101
4313120012021023222313201
5223410244132021314231
62221552333413154401
7102204535640246164
oct6730061113526741
91157300037612841
10243548422057441
117066933aa58a86
122339539592ba01
13a5b8696391ca7
14441db41157adb
151d253c01d4661
hexdd81892eade1

243548422057441 has 2 divisors, whose sum is σ = 243548422057442. Its totient is φ = 243548422057440.

The previous prime is 243548422057439. The next prime is 243548422057463. The reversal of 243548422057441 is 144750224845342.

243548422057441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 227277363669841 + 16271058387600 = 15075721^2 + 4033740^2 .

It is a cyclic number.

It is not a de Polignac number, because 243548422057441 - 21 = 243548422057439 is a prime.

It is a super-3 number, since 3×2435484220574413 (a number of 44 digits) contains 333 as substring.

Together with 243548422057439, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (243548422058441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 121774211028720 + 121774211028721.

It is an arithmetic number, because the mean of its divisors is an integer number (121774211028721).

Almost surely, 2243548422057441 is an apocalyptic number.

It is an amenable number.

243548422057441 is a deficient number, since it is larger than the sum of its proper divisors (1).

243548422057441 is an equidigital number, since it uses as much as digits as its factorization.

243548422057441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34406400, while the sum is 55.

The spelling of 243548422057441 in words is "two hundred forty-three trillion, five hundred forty-eight billion, four hundred twenty-two million, fifty-seven thousand, four hundred forty-one".