Search a number
-
+
144102134626133 is a prime number
BaseRepresentation
bin100000110000111101100100…
…100010111011011101010101
3200220020000210112020211100012
4200300331210202323131111
5122341432132431014013
61230251335020330005
742232015142221415
oct4060754442733525
9626200715224305
10144102134626133
1141a08410297142
12141b3b613a3905
136253a0833b248
14278281ad8c645
15119d661cd81a8
hex830f648bb755

144102134626133 has 2 divisors, whose sum is σ = 144102134626134. Its totient is φ = 144102134626132.

The previous prime is 144102134625959. The next prime is 144102134626187. The reversal of 144102134626133 is 331626431201441.

144102134626133 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., 144099329123044 + 2805503089 = 12004138^2 + 52967^2 .

It is a cyclic number.

It is not a de Polignac number, because 144102134626133 - 216 = 144102134560597 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144102134626193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72051067313066 + 72051067313067.

It is an arithmetic number, because the mean of its divisors is an integer number (72051067313067).

Almost surely, 2144102134626133 is an apocalyptic number.

It is an amenable number.

144102134626133 is a deficient number, since it is larger than the sum of its proper divisors (1).

144102134626133 is an equidigital number, since it uses as much as digits as its factorization.

144102134626133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 248832, while the sum is 41.

Adding to 144102134626133 its reverse (331626431201441), we get a palindrome (475728565827574).

The spelling of 144102134626133 in words is "one hundred forty-four trillion, one hundred two billion, one hundred thirty-four million, six hundred twenty-six thousand, one hundred thirty-three".