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12314144140297 is a prime number
BaseRepresentation
bin1011001100110001110000…
…1011111110110000001001
31121121012221212200220102121
42303030130023332300021
53103223331344442142
642105012325131241
72410444654106446
oct263143413766011
947535855626377
1012314144140297
113a1844337a04a
12146a691b59b21
136b42ac95707c
143080173d89cd
151654bc1d5c67
hexb331c2fec09

12314144140297 has 2 divisors, whose sum is σ = 12314144140298. Its totient is φ = 12314144140296.

The previous prime is 12314144140283. The next prime is 12314144140313. The reversal of 12314144140297 is 79204144141321.

12314144140297 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7334368905616 + 4979775234681 = 2708204^2 + 2231541^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12314144140297 is a prime.

It is not a weakly prime, because it can be changed into another prime (12314144140267) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6157072070148 + 6157072070149.

It is an arithmetic number, because the mean of its divisors is an integer number (6157072070149).

Almost surely, 212314144140297 is an apocalyptic number.

It is an amenable number.

12314144140297 is a deficient number, since it is larger than the sum of its proper divisors (1).

12314144140297 is an equidigital number, since it uses as much as digits as its factorization.

12314144140297 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 12314144140297 in words is "twelve trillion, three hundred fourteen billion, one hundred forty-four million, one hundred forty thousand, two hundred ninety-seven".