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14332444423341 = 31137113155366889
BaseRepresentation
bin1101000010010000100001…
…0000100011010010101101
31212202011112200202110022120
43100210020100203102231
53334310321233021331
650252122320503153
73006325222335432
oct320441020432255
955664480673276
1014332444423341
1146263a025a3a0
12173588277aab9
137cc70b6b8595
143779a051db89
1519cc46ad4796
hexd09084234ad

14332444423341 has 64 divisors (see below), whose sum is σ = 21614335868160. Its totient is φ = 8371252592640.

The previous prime is 14332444423313. The next prime is 14332444423357.

14332444423341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14332444423341 - 217 = 14332444292269 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 14332444423293 and 14332444423302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14332444423391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214238625 + ... + 214305513.

It is an arithmetic number, because the mean of its divisors is an integer number (337723997940).

Almost surely, 214332444423341 is an apocalyptic number.

14332444423341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14332444423341 is a deficient number, since it is larger than the sum of its proper divisors (7281891444819).

14332444423341 is a wasteful number, since it uses less digits than its factorization.

14332444423341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68606.

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 1433244 and 4423341, that added together give a palindrome (5856585).

The spelling of 14332444423341 in words is "fourteen trillion, three hundred thirty-two billion, four hundred forty-four million, four hundred twenty-three thousand, three hundred forty-one".

Divisors: 1 3 11 33 37 111 113 339 407 1221 1243 1553 3729 4181 4659 12543 17083 45991 51249 57461 66889 137973 172383 175489 200667 526467 632071 735779 1896213 1930379 2207337 2474893 5791137 6493093 7424679 7558457 19479279 22675371 27223823 71424023 81671469 83143027 103878617 214272069 249429081 279662909 311635851 838988727 1142664787 3076291999 3427994361 3843508829 9228875997 11530526487 11738283721 35214851163 42278597119 126835791357 129121120931 387363362793 434316497677 1302949493031 4777481474447 14332444423341