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2144400200200 = 235232257332393
BaseRepresentation
bin11111001101001000001…
…101100101001000001000
321121000001221022001122001
4133031020031211020020
5240113212422401300
64321042430240344
7310633143645256
oct37151015451010
97530057261561
102144400200200
11757487010515
122a77233560b4
131272a692950b
1475b0a6495d6
153abaa17716a
hex1f348365208

2144400200200 has 48 divisors (see below), whose sum is σ = 4985900028180. Its totient is φ = 857730908160.

The previous prime is 2144400200147. The next prime is 2144400200209. The reversal of 2144400200200 is 20020044412.

It can be written as a sum of positive squares in 6 ways, for example, as 250622386884 + 1893777813316 = 500622^2 + 1376146^2 .

It is not an unprimeable number, because it can be changed into a prime (2144400200209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6285204 + ... + 6617596.

Almost surely, 22144400200200 is an apocalyptic number.

2144400200200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2144400200200 is an abundant number, since it is smaller than the sum of its proper divisors (2841499827980).

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

2144400200200 is a wasteful number, since it uses less digits than its factorization.

2144400200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364666 (or 364657 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 2144400200200 its reverse (20020044412), we get a palindrome (2164420244612).

The spelling of 2144400200200 in words is "two trillion, one hundred forty-four billion, four hundred million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 32257 64514 129028 161285 258056 322570 332393 645140 664786 806425 1290280 1329572 1612850 1661965 2659144 3225700 3323930 6451400 6647860 8309825 13295720 16619650 33239300 66478600 10722001001 21444002002 42888004004 53610005005 85776008008 107220010010 214440020020 268050025025 428880040040 536100050050 1072200100100 2144400200200