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114330563330841 = 321113809109808327
BaseRepresentation
bin11001111111101110101000…
…100111010100001100011001
3112222210220011112110120210200
4121333232220213110030121
5104441142443203041331
61043054422525132413
733040052640500214
oct3177565047241431
9488726145416720
10114330563330841
113347a357454970
12109a60423ba109
134ba4430bbaa30
1420338b358a77b
15d3400117d5e6
hex67fba89d4319

114330563330841 has 48 divisors (see below), whose sum is σ = 194255324565120. Its totient is φ = 63882091733760.

The previous prime is 114330563330777. The next prime is 114330563330881. The reversal of 114330563330841 is 148033365033411.

114330563330841 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 3 + 0 + 5 + 633 + 3 + 0 + 8 + 4 + 1 = 666.

It is not a de Polignac number, because 114330563330841 - 26 = 114330563330777 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114330563330881) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53862981 + ... + 55945346.

It is an arithmetic number, because the mean of its divisors is an integer number (4046985928440).

Almost surely, 2114330563330841 is an apocalyptic number.

114330563330841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

114330563330841 is a deficient number, since it is larger than the sum of its proper divisors (79924761234279).

114330563330841 is a wasteful number, since it uses less digits than its factorization.

114330563330841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109809166 (or 109809163 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 114330563330841 in words is "one hundred fourteen trillion, three hundred thirty billion, five hundred sixty-three million, three hundred thirty thousand, eight hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 143 429 809 1287 2427 7281 8899 10517 26697 31551 80091 94653 115687 347061 1041183 109808327 329424981 988274943 1207891597 1427508251 3623674791 4282524753 10871024373 12847574259 15702590761 47107772283 88834936543 141323316849 266504809629 799514428887 977184301973 1154854175059 2931552905919 3464562525177 8794658717757 10393687575531 12703395925649 38110187776947 114330563330841