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14044211244041 = 1121131217844001
BaseRepresentation
bin1100110001011110110000…
…1110001110110000001001
31211201121120020011212001112
43030113230032032300021
53320100021034302131
645511453243300105
72646442434622556
oct314275416166011
954647506155045
1014044211244041
11452513112a700
1216a9a41b1a635
137ab49561b094
14367a5a05ba2d
151954c748602b
hexcc5ec38ec09

14044211244041 has 24 divisors (see below), whose sum is σ = 15586451638632. Its totient is φ = 12644065280000.

The previous prime is 14044211244031. The next prime is 14044211244061.

14044211244041 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 151975225600 + 13892236018441 = 389840^2 + 3727229^2 .

It is not a de Polignac number, because 14044211244041 - 242 = 9646164732937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14044211243989 and 14044211244007.

It is not an unprimeable number, because it can be changed into a prime (14044211244031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16218041 + ... + 17062041.

It is an arithmetic number, because the mean of its divisors is an integer number (649435484943).

Almost surely, 214044211244041 is an apocalyptic number.

14044211244041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14044211244041 is a deficient number, since it is larger than the sum of its proper divisors (1542240394591).

14044211244041 is a wasteful number, since it uses less digits than its factorization.

14044211244041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845353 (or 845342 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

It can be divided in two parts, 1404421 and 1244041, that added together give a palindrome (2648462).

The spelling of 14044211244041 in words is "fourteen trillion, forty-four billion, two hundred eleven million, two hundred forty-four thousand, forty-one".

Divisors: 1 11 113 121 1217 1243 13387 13673 137521 147257 844001 1512731 9284011 16640041 95372113 102124121 1027149217 1049093243 11298641387 11540025673 116067861521 124285055257 1276746476731 14044211244041