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14002041013193 is a prime number
BaseRepresentation
bin1100101111000001101010…
…1011100100001111001001
31211120120201022110011111202
43023300122223210033021
53313402134444410233
645440240541033545
72643420425600252
oct313603253441711
954516638404452
1014002041013193
114509261135052
1216a18332558b5
137a7504a5b06c
143659b9561b29
1519435a1b2be8
hexcbc1aae43c9

14002041013193 has 2 divisors, whose sum is σ = 14002041013194. Its totient is φ = 14002041013192.

The previous prime is 14002041013123. The next prime is 14002041013201. The reversal of 14002041013193 is 39131014020041.

It is a happy number.

14002041013193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8272681755529 + 5729359257664 = 2876227^2 + 2393608^2 .

It is an emirp because it is prime and its reverse (39131014020041) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-14002041013193 is a prime.

It is not a weakly prime, because it can be changed into another prime (14002041013123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7001020506596 + 7001020506597.

It is an arithmetic number, because the mean of its divisors is an integer number (7001020506597).

Almost surely, 214002041013193 is an apocalyptic number.

It is an amenable number.

14002041013193 is a deficient number, since it is larger than the sum of its proper divisors (1).

14002041013193 is an equidigital number, since it uses as much as digits as its factorization.

14002041013193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The spelling of 14002041013193 in words is "fourteen trillion, two billion, forty-one million, thirteen thousand, one hundred ninety-three".