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14004466440041 = 711498073651619
BaseRepresentation
bin1100101111001010101100…
…1111110101011101101001
31211120210222100022121122202
43023302223033311131221
53313422121402040131
645441321342225545
72643534506434460
oct313625317653551
954523870277582
1014004466440041
11450a296234150
1216a21ab5852b5
137a78003aa28c
14365b6971d9d7
1519444d0acbcb
hexcbcab3f5769

14004466440041 has 16 divisors (see below), whose sum is σ = 17460469340160. Its totient is φ = 10912349166480.

The previous prime is 14004466440017. The next prime is 14004466440049.

14004466440041 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 14004466440041 - 238 = 13729588533097 is a prime.

It is a super-2 number, since 2×140044664400412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14004466439977 and 14004466440004.

It is not an unprimeable number, because it can be changed into a prime (14004466440049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2009330 + ... + 5660948.

It is an arithmetic number, because the mean of its divisors is an integer number (1091279333760).

Almost surely, 214004466440041 is an apocalyptic number.

14004466440041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14004466440041 is a deficient number, since it is larger than the sum of its proper divisors (3456002900119).

14004466440041 is a wasteful number, since it uses less digits than its factorization.

14004466440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701444.

The product of its (nonzero) digits is 147456, while the sum is 38.

It can be divided in two parts, 1400446 and 6440041, that added together give a palindrome (7840487).

The spelling of 14004466440041 in words is "fourteen trillion, four billion, four hundred sixty-six million, four hundred forty thousand, forty-one".

Divisors: 1 7 11 77 49807 348649 547877 3651619 3835139 25561333 40167809 281174663 181876187533 1273133312731 2000638062863 14004466440041