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1433434343341 = 7211213101184133
BaseRepresentation
bin10100110110111111010…
…110000100011110101101
312002000221111121102020111
4110312333112010132231
5141441133142441331
63014302144420021
7205363560611500
oct24667726043655
95060844542214
101433434343341
11502a09354300
121b1986317611
13a523165a9a0
144d542c01137
1527448526db1
hex14dbf5847ad

1433434343341 has 72 divisors (see below), whose sum is σ = 1993373551512. Its totient is φ = 1020827808000.

The previous prime is 1433434343249. The next prime is 1433434343351.

1433434343341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 532054995241 + 901379348100 = 729421^2 + 949410^2 .

It is not a de Polignac number, because 1433434343341 - 223 = 1433425954733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1433434343294 and 1433434343303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1433434343351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7692711 + ... + 7876843.

It is an arithmetic number, because the mean of its divisors is an integer number (27685743771).

Almost surely, 21433434343341 is an apocalyptic number.

1433434343341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1433434343341 is a deficient number, since it is larger than the sum of its proper divisors (559939208171).

1433434343341 is a wasteful number, since it uses less digits than its factorization.

1433434343341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184283 (or 184265 counting only the distinct ones).

The product of its digits is 746496, while the sum is 40.

The spelling of 1433434343341 in words is "one trillion, four hundred thirty-three billion, four hundred thirty-four million, three hundred forty-three thousand, three hundred forty-one".

Divisors: 1 7 11 13 49 77 91 101 121 143 539 637 707 847 1001 1111 1313 1573 4949 5929 7007 7777 9191 11011 12221 14443 54439 64337 77077 85547 101101 158873 184133 598829 707707 1112111 1288931 2025463 2393729 7784777 9022517 14178241 16756103 18597433 22280093 26331019 99247687 117292721 130182031 155960651 184317133 204571763 241766629 289641209 911274217 1091724557 1290219931 1432002341 1692366403 2027488463 2250289393 2659432919 10024016387 11846564821 14192419241 15752025751 18616030433 29253762109 110264180257 130312213031 204776334763 1433434343341