Search a number
-
+
144999136129 is a prime number
BaseRepresentation
bin1000011100001010011…
…1110011101110000001
3111212021020110022022011
42013002213303232001
54333424234324004
6150340042412521
713322133215131
oct2070247635601
9455236408264
10144999136129
1156548261101
1224127b01141
131089a4aa603
147037546ac1
153b89a57004
hex21c29f3b81

144999136129 has 2 divisors, whose sum is σ = 144999136130. Its totient is φ = 144999136128.

The previous prime is 144999136081. The next prime is 144999136151. The reversal of 144999136129 is 921631999441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103281890625 + 41717245504 = 321375^2 + 204248^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144999136129 is a prime.

It is not a weakly prime, because it can be changed into another prime (144999136199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72499568064 + 72499568065.

It is an arithmetic number, because the mean of its divisors is an integer number (72499568065).

Almost surely, 2144999136129 is an apocalyptic number.

It is an amenable number.

144999136129 is a deficient number, since it is larger than the sum of its proper divisors (1).

144999136129 is an equidigital number, since it uses as much as digits as its factorization.

144999136129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 3779136, while the sum is 58.

The spelling of 144999136129 in words is "one hundred forty-four billion, nine hundred ninety-nine million, one hundred thirty-six thousand, one hundred twenty-nine".