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34443221130 = 23252411587977
BaseRepresentation
bin100000000100111110…
…011101100010001010
310021220101222220220200
4200010332131202022
51031014431034010
623453433433030
72326351356213
oct400476354212
9107811886820
1034443221130
111367533390a
126812b6b776
13332ba7bb26
14194a5b440a
15d68c4dcc0
hex804f9d88a

34443221130 has 48 divisors (see below), whose sum is σ = 89924018184. Its totient is φ = 9146741760.

The previous prime is 34443221129. The next prime is 34443221159. The reversal of 34443221130 is 3112234443.

34443221130 is a `hidden beast` number, since 3 + 4 + 443 + 2 + 211 + 3 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21880622241 + 12562598889 = 147921^2 + 112083^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34443221094 and 34443221103.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 772299 + ... + 815678.

Almost surely, 234443221130 is an apocalyptic number.

34443221130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34443221130 is an abundant number, since it is smaller than the sum of its proper divisors (55480797054).

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

34443221130 is a wasteful number, since it uses less digits than its factorization.

34443221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588231 (or 1588228 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 34443221130 its reverse (3112234443), we get a palindrome (37555455573).

The spelling of 34443221130 in words is "thirty-four billion, four hundred forty-three million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 241 482 723 1205 1446 2169 2410 3615 4338 7230 10845 21690 1587977 3175954 4763931 7939885 9527862 14291793 15879770 23819655 28583586 47639310 71458965 142917930 382702457 765404914 1148107371 1913512285 2296214742 3444322113 3827024570 5740536855 6888644226 11481073710 17221610565 34443221130