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2144303040 = 263511251809
BaseRepresentation
bin111111111001111…
…0111011111000000
312112102212212210010
41333303313133000
513342420144130
6552435504520
7104065163235
oct17763673700
95472785703
102144303040
11a00448680
124ba158140
13282330189
14164add78c
15c83b90b0
hex7fcf77c0

2144303040 has 224 divisors, whose sum is σ = 7465893120. Its totient is φ = 517120000.

The previous prime is 2144303009. The next prime is 2144303081. The reversal of 2144303040 is 403034412.

It is a junction number, because it is equal to n+sod(n) for n = 2144302998 and 2144303016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2650156 + ... + 2650964.

It is an arithmetic number, because the mean of its divisors is an integer number (33329880).

Almost surely, 22144303040 is an apocalyptic number.

2144303040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2144303040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3732946560).

2144303040 is an abundant number, since it is smaller than the sum of its proper divisors (5321590080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2144303040 is a wasteful number, since it uses less digits than its factorization.

2144303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2144303040 is about 46306.6198291346. The cubic root of 2144303040 is about 1289.5218948154.

Adding to 2144303040 its reverse (403034412), we get a palindrome (2547337452).

It can be divided in two parts, 214430 and 3040, that added together give a triangular number (217470 = T659).

The spelling of 2144303040 in words is "two billion, one hundred forty-four million, three hundred three thousand, forty".