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41234414311141 is a prime number
BaseRepresentation
bin10010110000000101000101…
…00111100001011011100101
312101222222020020020021011021
421120002202213201123211
520401041040030424031
6223410454535011141
711454042140420302
oct1130024247413345
9171888206207137
1041234414311141
1112158464999517
12475b609b09ab1
131a0150894b48c
14a27a834100a9
154b7905d45511
hex2580a29e16e5

41234414311141 has 2 divisors, whose sum is σ = 41234414311142. Its totient is φ = 41234414311140.

The previous prime is 41234414311049. The next prime is 41234414311159. The reversal of 41234414311141 is 14111341443214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36725357421025 + 4509056890116 = 6060145^2 + 2123454^2 .

It is a cyclic number.

It is not a de Polignac number, because 41234414311141 - 215 = 41234414278373 is a prime.

It is a super-4 number, since 4×412344143111414 (a number of 56 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41234414311097 and 41234414311106.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41234414371141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20617207155570 + 20617207155571.

It is an arithmetic number, because the mean of its divisors is an integer number (20617207155571).

Almost surely, 241234414311141 is an apocalyptic number.

It is an amenable number.

41234414311141 is a deficient number, since it is larger than the sum of its proper divisors (1).

41234414311141 is an equidigital number, since it uses as much as digits as its factorization.

41234414311141 is an evil number, because the sum of its binary digits is even.

The product of its digits is 18432, while the sum is 34.

Adding to 41234414311141 its reverse (14111341443214), we get a palindrome (55345755754355).

The spelling of 41234414311141 in words is "forty-one trillion, two hundred thirty-four billion, four hundred fourteen million, three hundred eleven thousand, one hundred forty-one".