1014

1014 is a natural number that lies between 1013 and 1015. It is even and composite, with a prime factorization of 2 × 3 × 13^2. Consequently it has 12 positive divisors: 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, and 1014. In different numeral systems, 1014 is represented as binary 1111110110 and hexadecimal 0x3F6. In Roman numerals it is written MXIV. The square root of 1014 is approximately 31.8, situating it between the squares of 31 and 32.

As a decimal number, 1014 is also notable for its proximity to 1024, a power of two (2^10), and it can be expressed as a sum of powers of two according to its binary representation.

In historical terms, the year 1014 CE is notable for the Battle of Clontarf, fought near Dublin on 23 April. The battle pitted the forces of Brian Boru, High King of Ireland, against a coalition of Viking and Leinster rivals. Brian Boru was killed during the engagement, and while the battle did not immediately end Viking power in Ireland, it marked a significant turning point and reshaped Irish political dynamics by diminishing Viking influence in the region.

In broader chronology, 1014 falls in the early 11th century, a period characterized by various shifts in European and medieval Asian polities, religious reform movements, and evolving trade networks. The number itself continues to be used in theory and computation as a representative integer within ten-digit ranges and numeral systems.