Search a number
-
+
242334413031011 = 7243591949389147
BaseRepresentation
bin110111000110011011100000…
…100110110000011001100011
31011210000221110220112001110012
4313012123200212300121203
5223230401334213443021
62215222520434355135
7102021040443631400
oct6706334046603143
91153027426461405
10242334413031011
11702404a1568aa4
122321a04872baab
13a52b063657a42
1443bb0962872a7
151d03a1a6d135b
hexdc66e09b0663

242334413031011 has 24 divisors (see below), whose sum is σ = 293344078991040. Its totient is φ = 199445902305552.

The previous prime is 242334413031001. The next prime is 242334413031019. The reversal of 242334413031011 is 110130314433242.

It is not a de Polignac number, because 242334413031011 - 234 = 242317233161827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242334413031019) 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, 974570261 + ... + 974818886.

It is an arithmetic number, because the mean of its divisors is an integer number (12222669957960).

Almost surely, 2242334413031011 is an apocalyptic number.

242334413031011 is a deficient number, since it is larger than the sum of its proper divisors (51009665960029).

242334413031011 is a wasteful number, since it uses less digits than its factorization.

242334413031011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949389263 (or 1949389256 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 242334413031011 its reverse (110130314433242), we get a palindrome (352464727464253).

The spelling of 242334413031011 in words is "two hundred forty-two trillion, three hundred thirty-four billion, four hundred thirteen million, thirty-one thousand, eleven".

Divisors: 1 7 43 49 59 301 413 2107 2537 2891 17759 124313 1949389147 13645724029 83823733321 95520068203 115013959673 586766133247 805097717711 4107362932729 4945600265939 5635684023977 34619201861573 242334413031011