Search a number
-
+
14421044012441 = 113611016317477
BaseRepresentation
bin1101000111011010100100…
…1101001010010110011001
31220001122020100111220211112
43101312221031022112121
53342233244231344231
650400534113310105
73015612625405403
oct321665115122631
956048210456745
1014421044012441
11465aa26431000
12174aa8a565335
13807b8b347051
1437bda743db73
151a01d003992b
hexd1da934a599

14421044012441 has 32 divisors (see below), whose sum is σ = 16124607709056. Its totient is φ = 12893114731200.

The previous prime is 14421044012423. The next prime is 14421044012447.

14421044012441 is nontrivially palindromic in base 10.

14421044012441 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 14421044012441 - 210 = 14421044011417 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14421044012398 and 14421044012407.

It is not an unprimeable number, because it can be changed into a prime (14421044012447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825135395 + ... + 825152871.

It is an arithmetic number, because the mean of its divisors is an integer number (503893990908).

Almost surely, 214421044012441 is an apocalyptic number.

14421044012441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14421044012441 is a deficient number, since it is larger than the sum of its proper divisors (1703563696615).

14421044012441 is a wasteful number, since it uses less digits than its factorization.

14421044012441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27734 (or 27712 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, 1442104 and 4012441, that added together give a palindrome (5454545).

The spelling of 14421044012441 in words is "fourteen trillion, four hundred twenty-one billion, forty-four million, twelve thousand, four hundred forty-one".

Divisors: 1 11 61 121 671 1331 7381 10163 17477 81191 111793 192247 619943 1066097 1229723 2114717 6819373 11727067 13526953 23261887 75013103 128997737 177618751 825144133 1418975107 1953806261 10834743811 21491868871 119182181921 236410557581 1311004001131 14421044012441