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8001714144301 is a prime number
BaseRepresentation
bin111010001110000101101…
…0101000100010000101101
31001022221211012211221210021
41310130023111010100231
52022100002310104201
625003534200042141
71454050636001413
oct164341325042055
931287735757707
108001714144301
112605565037219
12a92951a63351
13460734a83727
141d93dc1a72b3
15dd2226aeea1
hex7470b54442d

8001714144301 has 2 divisors, whose sum is σ = 8001714144302. Its totient is φ = 8001714144300.

The previous prime is 8001714144299. The next prime is 8001714144323. The reversal of 8001714144301 is 1034414171008.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7992500064201 + 9214080100 = 2827101^2 + 95990^2 .

It is a cyclic number.

It is not a de Polignac number, because 8001714144301 - 21 = 8001714144299 is a prime.

Together with 8001714144299, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (8001714144331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4000857072150 + 4000857072151.

It is an arithmetic number, because the mean of its divisors is an integer number (4000857072151).

Almost surely, 28001714144301 is an apocalyptic number.

It is an amenable number.

8001714144301 is a deficient number, since it is larger than the sum of its proper divisors (1).

8001714144301 is an equidigital number, since it uses as much as digits as its factorization.

8001714144301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 34.

The spelling of 8001714144301 in words is "eight trillion, one billion, seven hundred fourteen million, one hundred forty-four thousand, three hundred one".