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14122408881193 is a prime number
BaseRepresentation
bin1100110110000010000100…
…1010100010110000101001
31212000002101221211102000221
43031200201022202300221
53322340143133144233
650011424534130041
72655211312566154
oct315404112426051
955002357742027
1014122408881193
114555309708908
1217010261b0921
137b59782164b2
1436b7576a6c9b
151975525d142d
hexcd8212a2c29

14122408881193 has 2 divisors, whose sum is σ = 14122408881194. Its totient is φ = 14122408881192.

The previous prime is 14122408881167. The next prime is 14122408881199. The reversal of 14122408881193 is 39118880422141.

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., 13957598864169 + 164810017024 = 3735987^2 + 405968^2 .

It is a cyclic number.

It is not a de Polignac number, because 14122408881193 - 29 = 14122408880681 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14122408881193.

It is not a weakly prime, because it can be changed into another prime (14122408881199) 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, 7061204440596 + 7061204440597.

It is an arithmetic number, because the mean of its divisors is an integer number (7061204440597).

Almost surely, 214122408881193 is an apocalyptic number.

It is an amenable number.

14122408881193 is a deficient number, since it is larger than the sum of its proper divisors (1).

14122408881193 is an equidigital number, since it uses as much as digits as its factorization.

14122408881193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 14122408881193 in words is "fourteen trillion, one hundred twenty-two billion, four hundred eight million, eight hundred eighty-one thousand, one hundred ninety-three".