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206420442440 = 23535811441081
BaseRepresentation
bin1100000000111110011…
…1011111110101001000
3201201210210110221202212
43000033213133311020
511340222113124230
6234454522244252
720625201545042
oct3001747376510
9651723427685
10206420442440
117a5a6a5a683
1234009956688
1316608536144
149dc2a96a92
155581e5c895
hex300f9dfd48

206420442440 has 32 divisors (see below), whose sum is σ = 464576015160. Its totient is φ = 82545062400.

The previous prime is 206420442433. The next prime is 206420442463. The reversal of 206420442440 is 44244024602.

It can be written as a sum of positive squares in 4 ways, for example, as 204088904644 + 2331537796 = 451762^2 + 48286^2 .

It is a junction number, because it is equal to n+sod(n) for n = 206420442397 and 206420442406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 577301 + ... + 863780.

Almost surely, 2206420442440 is an apocalyptic number.

206420442440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206420442440 is an abundant number, since it is smaller than the sum of its proper divisors (258155572720).

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

206420442440 is a wasteful number, since it uses less digits than its factorization.

206420442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444673 (or 1444669 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The spelling of 206420442440 in words is "two hundred six billion, four hundred twenty million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 3581 7162 14324 17905 28648 35810 71620 143240 1441081 2882162 5764324 7205405 11528648 14410810 28821620 57643240 5160511061 10321022122 20642044244 25802555305 41284088488 51605110610 103210221220 206420442440