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Square number 16 as sum of gnomons. In mathematics, a square number or perfect square is an integer that is the square of an integer; [1] in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3 2 and can be written as 3 × 3.
1,687,989 = number of square (0,1)-matrices without zero rows and with exactly 7 entries equal to 1 [35] 1,719,900 = number of primitive polynomials of degree 26 over GF(2) [27] 1,730,787 = Riordan number; 1,741,725 = equal to the sum of the seventh power of its digits
1,857,283,156 : number of 37-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed [37] 1,882,341,361 : The smallest prime whose reversal is a square triangular number (triangular of 57121). 1,921,525,212 : number of partitions of 264 into divisors of 264 [35]
A googol is the large number 10 100 or ten to the power of one hundred. In decimal notation, it is written as the digit 1 followed by one hundred zeros: 10, 000, 000 ...
Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n 4 as n tesseracted, hypercubed, zenzizenzic, biquadrate or supercubed instead of “to the power of 4”. The sequence of fourth powers of integers, known as biquadrates or tesseractic numbers, is:
d() is the number of positive divisors of n, including 1 and n itself; σ() is the sum of the positive divisors of n, including 1 and n itselfs() is the sum of the proper divisors of n, including 1 but not n itself; that is, s(n) = σ(n) − n
The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often generalized to polynomials, other expressions, or values in systems of mathematical values other than the numbers. For instance, the square of the linear polynomial x + 1 is the quadratic polynomial (x + 1) 2 = x 2 ...
100,000,000 (one hundred million) is the natural number following 99,999,999 and preceding 100,000,001.. In scientific notation, it is written as 10 8.. East Asian languages treat 100,000,000 as a counting unit, significant as the square of a myriad, also a counting unit.