Search a number
-
+
2434024111221 = 322113547723369
BaseRepresentation
bin100011011010110111001…
…001000111110001110101
322121200122022210011011100
4203122313021013301311
5304334340133024341
65102101504000313
7340565246402433
oct43326711076165
98550568704140
102434024111221
1185929a17956a
12333891900099
131486b1b7b9b1
1485b436c9d53
15434ab9393b6
hex236b7247c75

2434024111221 has 24 divisors (see below), whose sum is σ = 3518269274520. Its totient is φ = 1621549264896.

The previous prime is 2434024111213. The next prime is 2434024111247. The reversal of 2434024111221 is 1221114204342.

2434024111221 is a `hidden beast` number, since 2 + 434 + 0 + 2 + 4 + 1 + 1 + 1 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 72838452996 + 2361185658225 = 269886^2 + 1536615^2 .

It is not a de Polignac number, because 2434024111221 - 23 = 2434024111213 is a prime.

It is a super-2 number, since 2×24340241112212 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2434024111261) 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 23 ways as a sum of consecutive naturals, for example, 104144425 + ... + 104167793.

It is an arithmetic number, because the mean of its divisors is an integer number (146594553105).

Almost surely, 22434024111221 is an apocalyptic number.

It is an amenable number.

2434024111221 is a deficient number, since it is larger than the sum of its proper divisors (1084245163299).

2434024111221 is a wasteful number, since it uses less digits than its factorization.

2434024111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30965 (or 30962 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 2434024111221 its reverse (1221114204342), we get a palindrome (3655138315563).

The spelling of 2434024111221 in words is "two trillion, four hundred thirty-four billion, twenty-four million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 2113 5477 6339 16431 19017 23369 49293 70107 210321 11572901 34718703 49378697 104156109 127992013 148136091 383976039 444408273 1151928117 270447123469 811341370407 2434024111221