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14104131432111 = 327318878141801
BaseRepresentation
bin1100110100111101111110…
…1111100110111010101111
31211221100020011120210102100
43031033133233212322233
53322040230121311421
645555203141030143
72653663345046460
oct315173757467257
954840204523370
1014104131432111
11454858a554896
1216b95850b5353
137b4024682676
1436a902096d67
15196d32bc0c26
hexcd3dfbe6eaf

14104131432111 has 48 divisors (see below), whose sum is σ = 24061174345728. Its totient is φ = 7790725584000.

The previous prime is 14104131432103. The next prime is 14104131432161. The reversal of 14104131432111 is 11123413140141.

14104131432111 is a `hidden beast` number, since 1 + 4 + 10 + 4 + 1 + 314 + 321 + 11 = 666.

It is not a de Polignac number, because 14104131432111 - 23 = 14104131432103 is a prime.

It is a super-2 number, since 2×141041314321112 (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 (14104131432161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338590 + ... + 5803211.

It is an arithmetic number, because the mean of its divisors is an integer number (501274465536).

Almost surely, 214104131432111 is an apocalyptic number.

14104131432111 is a deficient number, since it is larger than the sum of its proper divisors (9957042913617).

14104131432111 is a wasteful number, since it uses less digits than its factorization.

14104131432111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8142732 (or 8142729 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

Adding to 14104131432111 its reverse (11123413140141), we get a palindrome (25227544572252).

The spelling of 14104131432111 in words is "fourteen trillion, one hundred four billion, one hundred thirty-one million, four hundred thirty-two thousand, one hundred eleven".

Divisors: 1 3 7 9 21 31 63 93 217 279 651 887 1953 2661 6209 7983 18627 27497 55881 82491 192479 247473 577437 1732311 8141801 24425403 56992607 73276209 170977821 252395831 512933463 757187493 1766770817 2271562479 5300312451 7221777487 15900937353 21665332461 50552442409 64995997383 151657327227 223875102097 454971981681 671625306291 1567125714679 2014875918873 4701377144037 14104131432111