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14331111113341 = 1121011172662721
BaseRepresentation
bin1101000010001011100011…
…0010011000001001111101
31212202001002202220021211201
43100202320302120021331
53334300103421111331
650251342131215501
73006250202362321
oct320427062301175
955661082807751
1014331111113341
114625876680900
121735570147591
137cc5583b9b59
143778b540b981
1519cbb9a14a61
hexd08b8c9827d

14331111113341 has 12 divisors (see below), whose sum is σ = 15908342486652. Its totient is φ = 12899289920000.

The previous prime is 14331111113321. The next prime is 14331111113353.

14331111113341 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 7163229369241 + 7167881744100 = 2676421^2 + 2677290^2 .

It is not a de Polignac number, because 14331111113341 - 223 = 14331102724733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14331111113321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586319140 + ... + 586343581.

It is an arithmetic number, because the mean of its divisors is an integer number (1325695207221).

Almost surely, 214331111113341 is an apocalyptic number.

14331111113341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14331111113341 is a deficient number, since it is larger than the sum of its proper divisors (1577231373311).

14331111113341 is a wasteful number, since it uses less digits than its factorization.

14331111113341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172662844 (or 1172662833 counting only the distinct ones).

The product of its digits is 1296, while the sum is 28.

It can be divided in two parts, 1433111 and 1113341, that added together give a palindrome (2546452).

The spelling of 14331111113341 in words is "fourteen trillion, three hundred thirty-one billion, one hundred eleven million, one hundred thirteen thousand, three hundred forty-one".

Divisors: 1 11 101 121 1111 12221 1172662721 12899289931 118438934821 141892189241 1302828283031 14331111113341