Search a number
-
+
14742820129 is a prime number
BaseRepresentation
bin11011011101011110…
…11001010100100001
31102001110012212020011
431232233121110201
5220143130221004
610434525444521
71031224621612
oct155657312441
942043185204
1014742820129
116285a34a74
122a35410741
13150c49160b
149dbdd9c09
155b4463004
hex36ebd9521

14742820129 has 2 divisors, whose sum is σ = 14742820130. Its totient is φ = 14742820128.

The previous prime is 14742820111. The next prime is 14742820159. The reversal of 14742820129 is 92102824741.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14174093025 + 568727104 = 119055^2 + 23848^2 .

It is a cyclic number.

It is not a de Polignac number, because 14742820129 - 215 = 14742787361 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14742820091 and 14742820100.

It is not a weakly prime, because it can be changed into another prime (14742820109) 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, 7371410064 + 7371410065.

It is an arithmetic number, because the mean of its divisors is an integer number (7371410065).

Almost surely, 214742820129 is an apocalyptic number.

It is an amenable number.

14742820129 is a deficient number, since it is larger than the sum of its proper divisors (1).

14742820129 is an equidigital number, since it uses as much as digits as its factorization.

14742820129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64512, while the sum is 40.

The spelling of 14742820129 in words is "fourteen billion, seven hundred forty-two million, eight hundred twenty thousand, one hundred twenty-nine".