14×1010

14×1010 is a mathematical expression that represents the product of the integers 14 and 1010. In standard decimal notation, the numeric string 1010 denotes the integer one thousand ten, so the product is a decimal value.

The multiplication can be computed by standard arithmetic: 14 × 1010 = 14 × (1000 + 10) = 14,000 + 140 = 14,140. This result can be checked by elementary methods or by applying distributive properties of multiplication.

Note that the sequence of digits "1010" can represent different values in other bases. If read as a binary (base-2) number, 1010₂ equals 10 in decimal, giving a product of 14×10 = 140. If interpreted in base 8, 1010₈ equals 520₁₀, yielding a product of 14×520 = 7,280. In base 16, 1010₁₆ equals 4112₁₀, giving 14×4112 = 57,568. Unless a base is specified, the conventional interpretation for 1010 is decimal.

Factorization provides another view: 14 = 2×7 and 1010 = 2×5×101, so 14×1010 = 2²×5×7×101 = 14,140. This demonstrates how prime factorization distributes over multiplication. The expression is often used as a straightforward example in basic arithmetic and algebra to illustrate multiplication, distributive property, and base-related considerations.