Search a number
-
+
243439036129 is a prime number
BaseRepresentation
bin1110001010111000011…
…0001110011011100001
3212021100200111100200101
43202232012032123201
512442030343124004
6303500115222401
723405434444132
oct3425606163341
9767320440611
10243439036129
1194272a97a63
123b21b2a7a01
1319c57a14453
14bad52dbc89
1564ebd24ba4
hex38ae18e6e1

243439036129 has 2 divisors, whose sum is σ = 243439036130. Its totient is φ = 243439036128.

The previous prime is 243439036103. The next prime is 243439036157. The reversal of 243439036129 is 921630934342.

243439036129 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., 183094131025 + 60344905104 = 427895^2 + 245652^2 .

It is a cyclic number.

It is not a de Polignac number, because 243439036129 - 29 = 243439035617 is a prime.

It is a super-2 number, since 2×2434390361292 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (243439046129) 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 as a sum of consecutive naturals, namely, 121719518064 + 121719518065.

It is an arithmetic number, because the mean of its divisors is an integer number (121719518065).

Almost surely, 2243439036129 is an apocalyptic number.

It is an amenable number.

243439036129 is a deficient number, since it is larger than the sum of its proper divisors (1).

243439036129 is an equidigital number, since it uses as much as digits as its factorization.

243439036129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 839808, while the sum is 46.

The spelling of 243439036129 in words is "two hundred forty-three billion, four hundred thirty-nine million, thirty-six thousand, one hundred twenty-nine".