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14313411431341 = 114333287909091
BaseRepresentation
bin1101000001001001100111…
…0011011100101110101101
31212200100102020211021122221
43100102121303130232231
53334002331311300331
650235253533435341
73005052451513021
oct320223163345655
955610366737587
1014313411431341
11461931366a840
12173205063bb51
137ca997469039
14376ab6838381
1519c4d0bce711
hexd0499cdcbad

14313411431341 has 16 divisors (see below), whose sum is σ = 15978259173888. Its totient is φ = 12709187290800.

The previous prime is 14313411431303. The next prime is 14313411431353.

14313411431341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14313411431341 - 27 = 14313411431213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14313411431297 and 14313411431306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313411435341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15290206 + ... + 16199296.

It is an arithmetic number, because the mean of its divisors is an integer number (998641198368).

Almost surely, 214313411431341 is an apocalyptic number.

14313411431341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14313411431341 is a deficient number, since it is larger than the sum of its proper divisors (1664847742547).

14313411431341 is a wasteful number, since it uses less digits than its factorization.

14313411431341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942432.

The product of its digits is 20736, while the sum is 34.

It can be divided in two parts, 1431341 and 1431341, that added together give a palindrome (2862682).

The spelling of 14313411431341 in words is "fourteen trillion, three hundred thirteen billion, four hundred eleven million, four hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 11 43 473 33287 366157 909091 1431341 10000001 15744751 39090913 430000043 30260912117 332870033287 1301219221031 14313411431341