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14526312440343 = 31117241107347197
BaseRepresentation
bin1101001101100010101110…
…1100010110001000010111
31220102200221200122010111120
43103120223230112020113
53400444341441042333
650521143521135023
73026330364314124
oct323305354261027
956380850563446
1014526312440343
1146a0635743a50
12176736878a473
13814a964aa742
1438311207774b
151a2ce1a4edb3
hexd362bb16217

14526312440343 has 96 divisors (see below), whose sum is σ = 23207580926208. Its totient is φ = 8008284057600.

The previous prime is 14526312440333. The next prime is 14526312440357. The reversal of 14526312440343 is 34304421362541.

14526312440343 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14526312440343 - 212 = 14526312436247 is a prime.

It is a super-2 number, since 2×145263124403432 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14526312440295 and 14526312440304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14526312440303) 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, 41665221 + ... + 42012417.

It is an arithmetic number, because the mean of its divisors is an integer number (241745634648).

Almost surely, 214526312440343 is an apocalyptic number.

14526312440343 is a deficient number, since it is larger than the sum of its proper divisors (8681268485865).

14526312440343 is a wasteful number, since it uses less digits than its factorization.

14526312440343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347393 (or 347376 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 42.

The spelling of 14526312440343 in words is "fourteen trillion, five hundred twenty-six billion, three hundred twelve million, four hundred forty thousand, three hundred forty-three".

Divisors: 1 3 11 17 33 41 51 107 123 187 289 321 451 561 697 867 1177 1353 1819 2091 3179 3531 4387 5457 7667 9537 11849 13161 20009 23001 30923 35547 48257 60027 74579 92769 130339 144771 223737 340153 347197 391017 820369 1020459 1041591 1267843 2461107 3803529 3819167 5902349 11457501 13946273 14235077 17707047 37150079 41838819 42705231 64925839 100339933 111450237 156585847 194777517 241996309 301019799 408650869 469757541 631551343 725988927 1103739263 1225952607 1523153239 1894654029 2661959399 3311217789 4113937253 4569459717 6947064773 7985878197 10736372831 12341811759 16754685629 20841194319 25893605063 32209118493 45253309783 50264056887 77680815189 118100101141 135759929349 284829655693 354300303423 440191286071 854488967079 1320573858213 4842104146781 14526312440343