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12434321441241 = 327197370181607
BaseRepresentation
bin1011010011110001011101…
…0100000000000111011001
31122000201011020111100002200
42310330113110000013121
53112210442242104431
642240125353520413
72422231035236310
oct264742724000731
948021136440080
1012434321441241
113a64403322a77
121489a31113109
136c27227ab92b
1430db780d5277
151686a2a0eee6
hexb4f175001d9

12434321441241 has 12 divisors (see below), whose sum is σ = 20526498887232. Its totient is φ = 7105326537816.

The previous prime is 12434321441231. The next prime is 12434321441279. The reversal of 12434321441241 is 14214412343421.

12434321441241 is a `hidden beast` number, since 1 + 2 + 43 + 432 + 144 + 1 + 2 + 41 = 666.

It is not a de Polignac number, because 12434321441241 - 29 = 12434321440729 is a prime.

It is a super-3 number, since 3×124343214412413 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 12434321441196 and 12434321441205.

It is not an unprimeable number, because it can be changed into a prime (12434321441231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98685090741 + ... + 98685090866.

It is an arithmetic number, because the mean of its divisors is an integer number (1710541573936).

Almost surely, 212434321441241 is an apocalyptic number.

It is an amenable number.

12434321441241 is a deficient number, since it is larger than the sum of its proper divisors (8092177445991).

12434321441241 is a wasteful number, since it uses less digits than its factorization.

12434321441241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197370181620 (or 197370181617 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 12434321441241 its reverse (14214412343421), we get a palindrome (26648733784662).

The spelling of 12434321441241 in words is "twelve trillion, four hundred thirty-four billion, three hundred twenty-one million, four hundred forty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 21 63 197370181607 592110544821 1381591271249 1776331634463 4144773813747 12434321441241