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41134336166149 is a prime number
BaseRepresentation
bin10010101101001010101010…
…11111101100100100000101
312101122101220121112202010121
421112211111133230210011
520342421110024304044
6223252504141021541
711443600124262652
oct1126452537544405
9171571817482117
1041134336166149
1112119a79439986
124744139b548b1
1319c4c49baaac5
14a22cabc4ac29
154b4ee9d21984
hex2569557ec905

41134336166149 has 2 divisors, whose sum is σ = 41134336166150. Its totient is φ = 41134336166148.

The previous prime is 41134336166093. The next prime is 41134336166173. The reversal of 41134336166149 is 94166163343114.

41134336166149 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., 38890901370049 + 2243434796100 = 6236257^2 + 1497810^2 .

It is a cyclic number.

It is not a de Polignac number, because 41134336166149 - 215 = 41134336133381 is a prime.

It is a super-2 number, since 2×411343361661492 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41134336166096 and 41134336166105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41134336166449) 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, 20567168083074 + 20567168083075.

It is an arithmetic number, because the mean of its divisors is an integer number (20567168083075).

Almost surely, 241134336166149 is an apocalyptic number.

It is an amenable number.

41134336166149 is a deficient number, since it is larger than the sum of its proper divisors (1).

41134336166149 is an equidigital number, since it uses as much as digits as its factorization.

41134336166149 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3359232, while the sum is 52.

The spelling of 41134336166149 in words is "forty-one trillion, one hundred thirty-four billion, three hundred thirty-six million, one hundred sixty-six thousand, one hundred forty-nine".