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134340131114343 = 327112364811300477
BaseRepresentation
bin11110100010111001111111…
…110010110100110101100111
3122121122210100201101212000100
4132202321333302310311213
5120102012042031124333
61153415000530115143
740203516453402510
oct3642717762646547
9577583321355010
10134340131114343
11398943698572a0
121309802611bab3
1359c62b247a80b
1425261503bba07
15107e765e98213
hex7a2e7fcb4d67

134340131114343 has 96 divisors (see below), whose sum is σ = 252486326356992. Its totient is φ = 66742509081600.

The previous prime is 134340131114309. The next prime is 134340131114347. The reversal of 134340131114343 is 343411131043431.

134340131114343 is a `hidden beast` number, since 1 + 3 + 4 + 340 + 131 + 1 + 143 + 43 = 666.

It is not a de Polignac number, because 134340131114343 - 29 = 134340131113831 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 134340131114298 and 134340131114307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134340131114347) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102650421 + ... + 103950897.

It is an arithmetic number, because the mean of its divisors is an integer number (2630065899552).

Almost surely, 2134340131114343 is an apocalyptic number.

134340131114343 is a deficient number, since it is larger than the sum of its proper divisors (118146195242649).

134340131114343 is a wasteful number, since it uses less digits than its factorization.

134340131114343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307005 (or 1307002 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 134340131114343 its reverse (343411131043431), we get a palindrome (477751262157774).

The spelling of 134340131114343 in words is "one hundred thirty-four trillion, three hundred forty billion, one hundred thirty-one million, one hundred fourteen thousand, three hundred forty-three".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2277 5313 6481 15939 19443 45367 58329 71291 136101 149063 213873 408303 447189 499037 641619 1043441 1300477 1341567 1497111 1639693 3130323 3901431 4491333 4919079 9103339 9390969 11477851 11704293 14305247 14757237 27310017 29910971 34433553 42915741 81930051 89732913 100136729 103300659 128747223 209376797 269198739 300410187 329020681 628130391 901230561 987062043 1884391173 2303144767 2961186129 6909434301 8428391437 20728302903 25285174311 58998740059 75855522933 92712305807 176996220177 193853003051 278136917421 530988660531 581559009153 648986140649 834410752263 1356971021357 1744677027459 1946958421947 2132383033561 4070913064071 5840875265841 6397149100683 12212739192213 14926681234927 19191447302049 44780043704781 134340131114343