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14004144110331 = 32199263226913103
BaseRepresentation
bin1100101111001001100000…
…0010001111101011111011
31211120210010212210120102100
43023302120002033223323
53313420441343012311
645441225345434443
72643523513613634
oct313623002175373
954523125716370
1014004144110331
11450a140299061
1216a211b63ba23
137a777b69183b
14365b389b688b
1519442eb3ca56
hexcbc9808fafb

14004144110331 has 48 divisors (see below), whose sum is σ = 20417709312000. Its totient is φ = 9249076622016.

The previous prime is 14004144110311. The next prime is 14004144110347. The reversal of 14004144110331 is 13301144140041.

14004144110331 is a `hidden beast` number, since 1 + 400 + 4 + 144 + 110 + 3 + 3 + 1 = 666.

It is not a de Polignac number, because 14004144110331 - 215 = 14004144077563 is a prime.

It is a super-2 number, since 2×140041441103312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14004144110295 and 14004144110304.

It is not an unprimeable number, because it can be changed into a prime (14004144110311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1068767326 + ... + 1068780428.

It is an arithmetic number, because the mean of its divisors is an integer number (425368944000).

Almost surely, 214004144110331 is an apocalyptic number.

14004144110331 is a deficient number, since it is larger than the sum of its proper divisors (6413565201669).

14004144110331 is a wasteful number, since it uses less digits than its factorization.

14004144110331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15840 (or 15837 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14004144110331 its reverse (13301144140041), we get a palindrome (27305288250372).

The spelling of 14004144110331 in words is "fourteen trillion, four billion, one hundred forty-four million, one hundred ten thousand, three hundred thirty-one".

Divisors: 1 3 9 199 263 597 789 1791 2269 2367 6807 13103 20421 39309 52337 117927 157011 451531 471033 596747 1354593 1790241 2607497 3446089 4063779 5370723 7822491 10338267 23467473 29730707 31014801 89192121 118752653 267576363 356257959 685771711 1068773877 2057315133 5916410693 6171945399 7819175941 17749232079 23457527823 53247696237 70372583469 1556016012259 4668048036777 14004144110331