Search a number
-
+
145978517089 is a prime number
BaseRepresentation
bin1000011111110011111…
…1110110011001100001
3111221210111100000102001
42013330333312121201
54342431000021324
6151021150124001
713355324631166
oct2077477663141
9457714300361
10145978517089
1156a00081559
122435bab0601
13109c5378682
1470cb64806d
153be5a13e44
hex21fcff6661

145978517089 has 2 divisors, whose sum is σ = 145978517090. Its totient is φ = 145978517088.

The previous prime is 145978517029. The next prime is 145978517143. The reversal of 145978517089 is 980715879541.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92382563025 + 53595954064 = 303945^2 + 231508^2 .

It is a cyclic number.

It is not a de Polignac number, because 145978517089 - 233 = 137388582497 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 145978517089.

It is not a weakly prime, because it can be changed into another prime (145978517029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72989258544 + 72989258545.

It is an arithmetic number, because the mean of its divisors is an integer number (72989258545).

Almost surely, 2145978517089 is an apocalyptic number.

It is an amenable number.

145978517089 is a deficient number, since it is larger than the sum of its proper divisors (1).

145978517089 is an equidigital number, since it uses as much as digits as its factorization.

145978517089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25401600, while the sum is 64.

The spelling of 145978517089 in words is "one hundred forty-five billion, nine hundred seventy-eight million, five hundred seventeen thousand, eighty-nine".