Search a number
-
+
242404444113 = 31331719607251
BaseRepresentation
bin1110000111000001101…
…1100100011111010001
3212011200120201122020120
43201300123210133101
512432421014202423
6303205320300453
723341002530646
oct3416033443721
9764616648216
10242404444113
1193891a97737
123ab90911729
1319b21585120
14ba37b47dcd
15648b0adee3
hex38706e47d1

242404444113 has 16 divisors (see below), whose sum is σ = 349165943616. Its totient is φ = 148701384000.

The previous prime is 242404444097. The next prime is 242404444123. The reversal of 242404444113 is 311444404242.

242404444113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242404444113 - 24 = 242404444097 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (242404444123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9791263 + ... + 9815988.

It is an arithmetic number, because the mean of its divisors is an integer number (21822871476).

Almost surely, 2242404444113 is an apocalyptic number.

It is an amenable number.

242404444113 is a deficient number, since it is larger than the sum of its proper divisors (106761499503).

242404444113 is a wasteful number, since it uses less digits than its factorization.

242404444113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19607584.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 242404444113 its reverse (311444404242), we get a palindrome (553848848355).

The spelling of 242404444113 in words is "two hundred forty-two billion, four hundred four million, four hundred forty-four thousand, one hundred thirteen".

Divisors: 1 3 13 39 317 951 4121 12363 19607251 58821753 254894263 764682789 6215498567 18646495701 80801481371 242404444113