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41284632341 is a prime number
BaseRepresentation
bin100110011100110000…
…010111111100010101
310221120012022121210002
4212130300113330111
51134022331213331
630544344541045
72661033404411
oct463460277425
9127505277702
1041284632341
111656610a367
128002181785
133b7c269744
141dd904bd41
15111968d9cb
hex99cc17f15

41284632341 has 2 divisors, whose sum is σ = 41284632342. Its totient is φ = 41284632340.

The previous prime is 41284632293. The next prime is 41284632371. The reversal of 41284632341 is 14323648214.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 37773477316 + 3511155025 = 194354^2 + 59255^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-41284632341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 41284632295 and 41284632304.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (41284632371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20642316170 + 20642316171.

It is an arithmetic number, because the mean of its divisors is an integer number (20642316171).

Almost surely, 241284632341 is an apocalyptic number.

It is an amenable number.

41284632341 is a deficient number, since it is larger than the sum of its proper divisors (1).

41284632341 is an equidigital number, since it uses as much as digits as its factorization.

41284632341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 110592, while the sum is 38.

The spelling of 41284632341 in words is "forty-one billion, two hundred eighty-four million, six hundred thirty-two thousand, three hundred forty-one".