Search a number
-
+
12042134442333 = 3217111770462633
BaseRepresentation
bin1010111100111100011100…
…1001010101000101011101
31120122012212001110112201200
42233033013021111011131
53034244242404123313
641340025153230113
72352005213610162
oct257170711250535
946565761415650
1012042134442333
113923049a55a76
121425a1a562339
13694750a2bc78
142d8bb1840069
1515d39bec4b73
hexaf3c725515d

12042134442333 has 24 divisors (see below), whose sum is σ = 18433870606008. Its totient is φ = 7549084541952.

The previous prime is 12042134442209. The next prime is 12042134442391. The reversal of 12042134442333 is 33324443124021.

12042134442333 is a `hidden beast` number, since 1 + 204 + 2 + 1 + 3 + 4 + 442 + 3 + 3 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1141816199364 + 10900318242969 = 1068558^2 + 3301563^2 .

It is not a de Polignac number, because 12042134442333 - 220 = 12042133393757 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12042134440333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35060416 + ... + 35402217.

It is an arithmetic number, because the mean of its divisors is an integer number (768077941917).

Almost surely, 212042134442333 is an apocalyptic number.

It is an amenable number.

12042134442333 is a deficient number, since it is larger than the sum of its proper divisors (6391736163675).

12042134442333 is a wasteful number, since it uses less digits than its factorization.

12042134442333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70463773 (or 70463770 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 12042134442333 its reverse (33324443124021), we get a palindrome (45366577566354).

The spelling of 12042134442333 in words is "twelve trillion, forty-two billion, one hundred thirty-four million, four hundred forty-two thousand, three hundred thirty-three".

Divisors: 1 3 9 17 51 153 1117 3351 10053 18989 56967 170901 70462633 211387899 634163697 1197864761 3593594283 10780782849 78706761061 236120283183 708360849549 1338014938037 4014044814111 12042134442333