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242431345341 = 321714923345641
BaseRepresentation
bin1110000111001000001…
…0001100001010111101
3212011202110100100210100
43201302002030022331
512432444411022331
6303212121031313
723341450302123
oct3416202141275
9764673310710
10242431345341
11938a61a0a59
123ab99925539
1319b27013803
14ba3b54b913
15648d624ae6
hex387208c2bd

242431345341 has 48 divisors (see below), whose sum is σ = 374876002800. Its totient is φ = 150441123840.

The previous prime is 242431345319. The next prime is 242431345369. The reversal of 242431345341 is 143543134242.

242431345341 is a `hidden beast` number, since 24 + 243 + 13 + 45 + 341 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14349644100 + 228081701241 = 119790^2 + 477579^2 .

It is not a de Polignac number, because 242431345341 - 211 = 242431343293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 242431345296 and 242431345305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242431345441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5288881 + ... + 5334521.

It is an arithmetic number, because the mean of its divisors is an integer number (7809916725).

Almost surely, 2242431345341 is an apocalyptic number.

It is an amenable number.

242431345341 is a deficient number, since it is larger than the sum of its proper divisors (132444657459).

242431345341 is a wasteful number, since it uses less digits than its factorization.

242431345341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46046 (or 46043 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

Adding to 242431345341 its reverse (143543134242), we get a palindrome (385974479583).

The spelling of 242431345341 in words is "two hundred forty-two billion, four hundred thirty-one million, three hundred forty-five thousand, three hundred forty-one".

Divisors: 1 3 9 17 51 149 153 233 447 699 1341 2097 2533 3961 7599 11883 22797 34717 35649 45641 104151 136923 312453 410769 590189 775897 1770567 2327691 5311701 6800509 6983073 10634353 20401527 31903059 61204581 95709177 115608653 180784001 346825959 542352003 1040477877 1584518597 1627056009 4753555791 14260667373 26936816149 80810448447 242431345341