Search a number
-
+
145563005149 is a prime number
BaseRepresentation
bin1000011110010000111…
…0110011000011011101
3111220201112110211011221
42013210032303003131
54341103112131044
6150512024213341
713342121062132
oct2074416630335
9456645424157
10145563005149
1156807581261
122426490a251
131095a265713
14708c3a6589
153bbe2d9484
hex21e43b30dd

145563005149 has 2 divisors, whose sum is σ = 145563005150. Its totient is φ = 145563005148.

The previous prime is 145563005083. The next prime is 145563005177. The reversal of 145563005149 is 941500365541.

145563005149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 142770622500 + 2792382649 = 377850^2 + 52843^2 .

It is a cyclic number.

It is not a de Polignac number, because 145563005149 - 211 = 145563003101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (145563015149) 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, 72781502574 + 72781502575.

It is an arithmetic number, because the mean of its divisors is an integer number (72781502575).

Almost surely, 2145563005149 is an apocalyptic number.

It is an amenable number.

145563005149 is a deficient number, since it is larger than the sum of its proper divisors (1).

145563005149 is an equidigital number, since it uses as much as digits as its factorization.

145563005149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 43.

The spelling of 145563005149 in words is "one hundred forty-five billion, five hundred sixty-three million, five thousand, one hundred forty-nine".