Search a number
-
+
242223041321345 = 57240571046323291
BaseRepresentation
bin110111000100110011110010…
…010101011001100110000001
31011202122022000020000000011102
4313010303302111121212001
5223222040242034240340
62215055421244224145
7102010015525003400
oct6704636225314601
91152568006000142
10242223041321345
11701a82400a2137
122320054653b055
13a5206c4c06116
1443b592cc37637
151d00b9ce81215
hexdc4cf2559981

242223041321345 has 48 divisors (see below), whose sum is σ = 338253782035968. Its totient is φ = 166031859651840.

The previous prime is 242223041321323. The next prime is 242223041321353. The reversal of 242223041321345 is 543123140322242.

It is not a de Polignac number, because 242223041321345 - 26 = 242223041321281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242223041321299 and 242223041321308.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10399844150 + ... + 10399867440.

It is an arithmetic number, because the mean of its divisors is an integer number (7046953792416).

Almost surely, 2242223041321345 is an apocalyptic number.

It is an amenable number.

242223041321345 is a deficient number, since it is larger than the sum of its proper divisors (96030740714623).

242223041321345 is a wasteful number, since it uses less digits than its factorization.

242223041321345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37830 (or 37823 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 38.

Adding to 242223041321345 its reverse (543123140322242), we get a palindrome (785346181643587).

The spelling of 242223041321345 in words is "two hundred forty-two trillion, two hundred twenty-three billion, forty-one million, three hundred twenty-one thousand, three hundred forty-five".

Divisors: 1 5 7 35 49 245 4057 10463 20285 23291 28399 52315 73241 116455 141995 163037 198793 366205 512687 815185 993965 1141259 2563435 5706295 42448391 94491587 212241955 243693733 297138737 472457935 661441109 1218468665 1485693685 1705856131 2079971159 3307205545 4630087763 8529280655 10399855795 11940992917 23150438815 59704964585 988665474781 4943327373905 6920658323467 34603291617335 48444608264269 242223041321345