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14444533544441 = 711132972117973
BaseRepresentation
bin1101001000110010000101…
…0010100111010111111001
31220010212212101012210002012
43102030201102213113321
53343124401041410231
650415421015415305
73020404002213110
oct322144122472771
956125771183065
1014444533544441
11466998a688070
121753545084535
1380a162964700
1437d194d5ac77
151a0b072e5e2b
hexd23214a75f9

14444533544441 has 72 divisors (see below), whose sum is σ = 19703896674624. Its totient is φ = 10282477271040.

The previous prime is 14444533544437. The next prime is 14444533544527.

14444533544441 is nontrivially palindromic in base 10.

14444533544441 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14444533544441 - 22 = 14444533544437 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14444533544441.

It is not an unprimeable number, because it can be changed into a prime (14444533544431) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122380331 + ... + 122498303.

It is an arithmetic number, because the mean of its divisors is an integer number (273665231592).

Almost surely, 214444533544441 is an apocalyptic number.

14444533544441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14444533544441 is a deficient number, since it is larger than the sum of its proper divisors (5259363130183).

14444533544441 is a wasteful number, since it uses less digits than its factorization.

14444533544441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118211 (or 118101 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

It can be divided in two parts, 1444453 and 3544441, that added together give a palindrome (4988894).

The spelling of 14444533544441 in words is "fourteen trillion, four hundred forty-four billion, five hundred thirty-three million, five hundred forty-four thousand, four hundred forty-one".

Divisors: 1 7 11 13 77 91 97 143 169 679 1001 1067 1183 1261 1859 7469 8827 9409 13013 13871 16393 65863 97097 103499 114751 117973 122317 180323 724493 825811 856219 1262261 1297703 1345487 1533649 1590121 9083921 9418409 10735543 11130847 11443381 16870139 17491331 19937437 80103667 118090973 122439317 125877191 139562059 148763953 219311807 881140337 1041347671 1110007957 1535182649 1636403483 1933931389 7770055699 11454824381 12210087527 13537519723 14430103441 21273245279 85470612689 101010724087 148912716953 158731137851 187591344733 1111117964957 1313139413131 2063504792063 14444533544441