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21344141200 = 245253360353
BaseRepresentation
bin10011111000001101…
…011011111110010000
32001002111202201100011
4103320031123332100
5322203100004300
613445543004304
71353633130624
oct237015337620
961074681304
1021344141200
119063236218
124178139694
132021cc9365
141066a17184
1584dc79eba
hex4f835bf90

21344141200 has 30 divisors (see below), whose sum is σ = 51279300194. Its totient is φ = 8537656320.

The previous prime is 21344141183. The next prime is 21344141227. The reversal of 21344141200 is 214144312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 704796304 + 20639344896 = 26548^2 + 143664^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 26679777 + ... + 26680576.

Almost surely, 221344141200 is an apocalyptic number.

21344141200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21344141200 is an abundant number, since it is smaller than the sum of its proper divisors (29935158994).

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

21344141200 is a wasteful number, since it uses less digits than its factorization.

21344141200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53360371 (or 53360360 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 21344141200 its reverse (214144312), we get a palindrome (21558285512).

The spelling of 21344141200 in words is "twenty-one billion, three hundred forty-four million, one hundred forty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 53360353 106720706 213441412 266801765 426882824 533603530 853765648 1067207060 1334008825 2134414120 2668017650 4268828240 5336035300 10672070600 21344141200