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14769056328041 is a prime number
BaseRepresentation
bin1101011011101011000001…
…0110110010100101101001
31221021220111221002021210202
43112322300112302211221
53413434011404444131
651224451045121545
73053012661314411
oct326726026624551
957256457067722
1014769056328041
1147845812a5674
1217a64130b92b5
13831940190b52
14390b7cd01641
151a929c80ebcb
hexd6eb05b2969

14769056328041 has 2 divisors, whose sum is σ = 14769056328042. Its totient is φ = 14769056328040.

The previous prime is 14769056328023. The next prime is 14769056328107. The reversal of 14769056328041 is 14082365096741.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 11356926960016 + 3412129368025 = 3370004^2 + 1847195^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14769056328041 is a prime.

It is a super-3 number, since 3×147690563280413 (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (14769056325041) 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, 7384528164020 + 7384528164021.

It is an arithmetic number, because the mean of its divisors is an integer number (7384528164021).

It is a 1-persistent number, because it is pandigital, but 2⋅14769056328041 = 29538112656082 is not.

Almost surely, 214769056328041 is an apocalyptic number.

It is an amenable number.

14769056328041 is a deficient number, since it is larger than the sum of its proper divisors (1).

14769056328041 is an equidigital number, since it uses as much as digits as its factorization.

14769056328041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 14769056328041 in words is "fourteen trillion, seven hundred sixty-nine billion, fifty-six million, three hundred twenty-eight thousand, forty-one".