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14444144034013 is a prime number
BaseRepresentation
bin1101001000110000101000…
…0100110000000011011101
31220010211212020021121020001
43102030022010300003131
53343123101333042023
650415314223054301
73020361232350151
oct322141204600335
956124766247201
1014444144034013
1146697aa827121
121753456741391
1380a100056775
1437d159327061
151a0ad30056ad
hexd230a1300dd

14444144034013 has 2 divisors, whose sum is σ = 14444144034014. Its totient is φ = 14444144034012.

The previous prime is 14444144033947. The next prime is 14444144034017. The reversal of 14444144034013 is 31043044144441.

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., 13805252353764 + 638891680249 = 3715542^2 + 799307^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14444144034013 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (14444144034017) 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, 7222072017006 + 7222072017007.

It is an arithmetic number, because the mean of its divisors is an integer number (7222072017007).

Almost surely, 214444144034013 is an apocalyptic number.

It is an amenable number.

14444144034013 is a deficient number, since it is larger than the sum of its proper divisors (1).

14444144034013 is an equidigital number, since it uses as much as digits as its factorization.

14444144034013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 147456, while the sum is 37.

Adding to 14444144034013 its reverse (31043044144441), we get a palindrome (45487188178454).

The spelling of 14444144034013 in words is "fourteen trillion, four hundred forty-four billion, one hundred forty-four million, thirty-four thousand, thirteen".