Search a number
-
+
24243114141 = 325261512009
BaseRepresentation
bin10110100101000000…
…001001000010011101
32022120112200210121100
4112211000021002131
5344122214123031
615045342023313
71515524033031
oct264500110235
968515623540
1024243114141
11a310673524
124846b77b39
13239479a76c
14125da421c1
1596d514de6
hex5a500909d

24243114141 has 12 divisors (see below), whose sum is σ = 35024556060. Its totient is φ = 16158972480.

The previous prime is 24243114139. The next prime is 24243114151. The reversal of 24243114141 is 14141134242.

24243114141 is a `hidden beast` number, since 2 + 4 + 243 + 1 + 1 + 414 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22068290916 + 2174823225 = 148554^2 + 46635^2 .

It is not a de Polignac number, because 24243114141 - 21 = 24243114139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24243114151) 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 11 ways as a sum of consecutive naturals, for example, 208656 + ... + 303353.

It is an arithmetic number, because the mean of its divisors is an integer number (2918713005).

Almost surely, 224243114141 is an apocalyptic number.

It is an amenable number.

24243114141 is a deficient number, since it is larger than the sum of its proper divisors (10781441919).

24243114141 is a wasteful number, since it uses less digits than its factorization.

24243114141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517276 (or 517273 counting only the distinct ones).

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

Adding to 24243114141 its reverse (14141134242), we get a palindrome (38384248383).

It can be divided in two parts, 24243 and 114141, that added together give a square (138384 = 3722).

The spelling of 24243114141 in words is "twenty-four billion, two hundred forty-three million, one hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 5261 15783 47349 512009 1536027 4608081 2693679349 8081038047 24243114141