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4334141422081 is a prime number
BaseRepresentation
bin111111000100011110111…
…101011011101000000001
3120100100011202201200010101
4333010132331123220001
51032002310201001311
613115024352202401
7625063031143252
oct77043675335001
916310152650111
104334141422081
11142110a929679
1259bb9b239401
13255927cc8533
1410dab8934b29
1577b1ab50ec1
hex3f11ef5ba01

4334141422081 has 2 divisors, whose sum is σ = 4334141422082. Its totient is φ = 4334141422080.

The previous prime is 4334141422073. The next prime is 4334141422141. The reversal of 4334141422081 is 1802241414334.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3365698453056 + 968442969025 = 1834584^2 + 984095^2 .

It is a cyclic number.

It is not a de Polignac number, because 4334141422081 - 23 = 4334141422073 is a prime.

It is a super-2 number, since 2×43341414220812 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4334141422081.

It is not a weakly prime, because it can be changed into another prime (4334141422781) 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, 2167070711040 + 2167070711041.

It is an arithmetic number, because the mean of its divisors is an integer number (2167070711041).

Almost surely, 24334141422081 is an apocalyptic number.

It is an amenable number.

4334141422081 is a deficient number, since it is larger than the sum of its proper divisors (1).

4334141422081 is an equidigital number, since it uses as much as digits as its factorization.

4334141422081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 4334141422081 in words is "four trillion, three hundred thirty-four billion, one hundred forty-one million, four hundred twenty-two thousand, eighty-one".