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4381464041 is a prime number
BaseRepresentation
bin1000001010010011…
…11101010111101001
3102022100111102201222
410011021331113221
532433123322131
62002433551425
7213401554433
oct40511752751
912270442658
104381464041
111949249869
12a23415575
1354a973096
142d7c91653
151a99c687b
hex10527d5e9

4381464041 has 2 divisors, whose sum is σ = 4381464042. Its totient is φ = 4381464040.

The previous prime is 4381463987. The next prime is 4381464071. The reversal of 4381464041 is 1404641834.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 3919386025 + 462078016 = 62605^2 + 21496^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4381464041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4381463992 and 4381464010.

It is not a weakly prime, because it can be changed into another prime (4381464071) 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, 2190732020 + 2190732021.

It is an arithmetic number, because the mean of its divisors is an integer number (2190732021).

Almost surely, 24381464041 is an apocalyptic number.

It is an amenable number.

4381464041 is a deficient number, since it is larger than the sum of its proper divisors (1).

4381464041 is an equidigital number, since it uses as much as digits as its factorization.

4381464041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 4381464041 is about 66192.6282980212. The cubic root of 4381464041 is about 1636.3382561132.

The spelling of 4381464041 in words is "four billion, three hundred eighty-one million, four hundred sixty-four thousand, forty-one".