Search a number
-
+
12140462241 = 322956981749
BaseRepresentation
bin10110100111010000…
…01100000010100001
31011100002102101022200
423103220030002201
5144330424242431
65324404123413
7606565140435
oct132350140241
934302371280
1012140462241
11516aa79a76
122429996569
1311b62a438b
148325429c5
154b0c68ee6
hex2d3a0c0a1

12140462241 has 24 divisors (see below), whose sum is σ = 18173025000. Its totient is φ = 7800721152.

The previous prime is 12140462221. The next prime is 12140462249. The reversal of 12140462241 is 14226404121.

12140462241 is a `hidden beast` number, since 12 + 1 + 404 + 6 + 2 + 241 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97594641 + 12042867600 = 9879^2 + 109740^2 .

It is not a de Polignac number, because 12140462241 - 211 = 12140460193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12140462249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107635 + ... + 189383.

It is an arithmetic number, because the mean of its divisors is an integer number (757209375).

Almost surely, 212140462241 is an apocalyptic number.

It is an amenable number.

12140462241 is a deficient number, since it is larger than the sum of its proper divisors (6032562759).

12140462241 is a wasteful number, since it uses less digits than its factorization.

12140462241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82353 (or 82350 counting only the distinct ones).

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

Adding to 12140462241 its reverse (14226404121), we get a palindrome (26366866362).

The spelling of 12140462241 in words is "twelve billion, one hundred forty million, four hundred sixty-two thousand, two hundred forty-one".

Divisors: 1 3 9 29 87 261 569 1707 5121 16501 49503 81749 148509 245247 735741 2370721 7112163 21336489 46515181 139545543 418636629 1348940249 4046820747 12140462241