Search a number
-
+
413122142441069 is a prime number
BaseRepresentation
bin101110111101110110111111…
…0100011001000111001101101
32000011202002110102022112112222
41131323231332203020321231
5413122043121431103234
64022345405304005125
7153006042545216225
oct13573557643107155
92004662412275488
10413122142441069
1110a6a7131377166
123a401a097607a5
131496933521b029
14740330b34d085
1532b63c58b842e
hex177bb7e8c8e6d

413122142441069 has 2 divisors, whose sum is σ = 413122142441070. Its totient is φ = 413122142441068.

The previous prime is 413122142441017. The next prime is 413122142441131. The reversal of 413122142441069 is 960144241221314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 263097321075625 + 150024821365444 = 16220275^2 + 12248462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-413122142441069 is a prime.

It is a super-2 number, since 2×4131221424410692 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413122142441969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 206561071220534 + 206561071220535.

It is an arithmetic number, because the mean of its divisors is an integer number (206561071220535).

Almost surely, 2413122142441069 is an apocalyptic number.

It is an amenable number.

413122142441069 is a deficient number, since it is larger than the sum of its proper divisors (1).

413122142441069 is an equidigital number, since it uses as much as digits as its factorization.

413122142441069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 413122142441069 in words is "four hundred thirteen trillion, one hundred twenty-two billion, one hundred forty-two million, four hundred forty-one thousand, sixty-nine".