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14420111102441 = 1122943281340103
BaseRepresentation
bin1101000111010111000110…
…0110011001000111101001
31220001112211100002011220022
43101311301212121013221
53342224341420234231
650400301350010225
73015550536661232
oct321656146310751
956045740064808
1014420111102441
11465a597870a00
12174a86a046975
13807a6cc99cb5
1437bd19598089
151a01781abc7b
hexd1d719991e9

14420111102441 has 48 divisors (see below), whose sum is σ = 16837841623680. Its totient is φ = 12318766521600.

The previous prime is 14420111102413. The next prime is 14420111102459.

14420111102441 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14420111102441 - 26 = 14420111102377 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 14420111102441.

It is not an unprimeable number, because it can be changed into a prime (14420111102641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42229196 + ... + 42569298.

It is an arithmetic number, because the mean of its divisors is an integer number (350788367160).

Almost surely, 214420111102441 is an apocalyptic number.

14420111102441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14420111102441 is a deficient number, since it is larger than the sum of its proper divisors (2417730521239).

14420111102441 is a wasteful number, since it uses less digits than its factorization.

14420111102441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340478 (or 340467 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

It can be divided in two parts, 1442011 and 1102441, that added together give a palindrome (2544452).

The spelling of 14420111102441 in words is "fourteen trillion, four hundred twenty billion, one hundred eleven million, one hundred two thousand, four hundred forty-one".

Divisors: 1 11 29 43 121 281 319 473 1247 3091 3509 5203 8149 12083 13717 34001 89639 132913 150887 340103 350407 986029 1462043 3741133 3854477 9862987 14624429 41152463 42399247 95568943 108492857 160868719 424108441 1051258373 1193421427 1769555909 2771499347 4109464549 4665192851 11563842103 30486492817 45204110039 51317121361 119174471921 335351420987 497245210429 1310919191131 14420111102441