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13414322341431 = 3211226945791891
BaseRepresentation
bin1100001100110100001111…
…1010110000011000110111
31202111101201012002020011100
43003031003322300120313
53224240013004411211
644310242110141143
72553103261401024
oct303150372603067
952441635066140
1013414322341431
114301a89284200
1216079514b17b3
13763c716264ab
1434538440c54b
15183e0d637156
hexc3343eb0637

13414322341431 has 36 divisors (see below), whose sum is σ = 21377028942360. Its totient is φ = 8099669503200.

The previous prime is 13414322341421. The next prime is 13414322341451.

13414322341431 is a `hidden beast` number, since 1 + 3 + 4 + 14 + 3 + 223 + 414 + 3 + 1 = 666.

13414322341431 is nontrivially palindromic in base 10.

13414322341431 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 13414322341431 - 218 = 13414322079287 is a prime.

It is a super-2 number, since 2×134143223414312 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414322341421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22603005 + ... + 23188886.

It is an arithmetic number, because the mean of its divisors is an integer number (593806359510).

Almost surely, 213414322341431 is an apocalyptic number.

13414322341431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13414322341431 is a deficient number, since it is larger than the sum of its proper divisors (7962706600929).

13414322341431 is a wasteful number, since it uses less digits than its factorization.

13414322341431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45792188 (or 45792174 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1341432 and 2341431, that added together give a palindrome (3682863).

The spelling of 13414322341431 in words is "thirteen trillion, four hundred fourteen billion, three hundred twenty-two million, three hundred forty-one thousand, four hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 269 363 807 1089 2421 2959 8877 26631 32549 97647 292941 45791891 137375673 412127019 503710801 1511132403 4533397209 5540818811 12318018679 16622456433 36954056037 49867369299 110862168111 135498205469 406494616407 1219483849221 1490480260159 4471440780477 13414322341431