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41414304121 is a prime number
BaseRepresentation
bin100110100100011111…
…000010000101111001
310221220020022122000121
4212210133002011321
51134304030212441
631005300133241
72664166530301
oct464437020571
9127806278017
1041414304121
1116622327723
128039697221
133ba009b9c8
14200c364601
151125c54dd1
hex9a47c2179

41414304121 has 2 divisors, whose sum is σ = 41414304122. Its totient is φ = 41414304120.

The previous prime is 41414304101. The next prime is 41414304157. The reversal of 41414304121 is 12140341414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 29844290025 + 11570014096 = 172755^2 + 107564^2 .

It is a cyclic number.

It is not a de Polignac number, because 41414304121 - 225 = 41380749689 is a prime.

It is a super-4 number, since 4×414143041214 (a number of 44 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (41414304101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 20707152060 + 20707152061.

It is an arithmetic number, because the mean of its divisors is an integer number (20707152061).

Almost surely, 241414304121 is an apocalyptic number.

It is an amenable number.

41414304121 is a deficient number, since it is larger than the sum of its proper divisors (1).

41414304121 is an equidigital number, since it uses as much as digits as its factorization.

41414304121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 41414304121 its reverse (12140341414), we get a palindrome (53554645535).

It can be divided in two parts, 41 and 414304121, that multiplied together give a palindrome (16986468961).

The spelling of 41414304121 in words is "forty-one billion, four hundred fourteen million, three hundred four thousand, one hundred twenty-one".