Search a number
-
+
242011342341 = 3286461311009
BaseRepresentation
bin1110000101100100000…
…0000000011000000101
3212010200012000222222200
43201121000000120011
512431114400423331
6303102314545113
723325160316436
oct3413100003005
9763605028880
10242011342341
119370010353a
123aaa1138199
1319a8acba622
14b9db85b48d
15646680e5e6
hex3859000605

242011342341 has 12 divisors (see below), whose sum is σ = 349577106060. Its totient is φ = 161338510080.

The previous prime is 242011342301. The next prime is 242011342343. The reversal of 242011342341 is 143243110242.

242011342341 is a `hidden beast` number, since 2 + 420 + 1 + 1 + 3 + 4 + 234 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191226917025 + 50784425316 = 437295^2 + 225354^2 .

It is not a de Polignac number, because 242011342341 - 217 = 242011211269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242011342343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622645 + ... + 933653.

It is an arithmetic number, because the mean of its divisors is an integer number (29131425505).

Almost surely, 2242011342341 is an apocalyptic number.

It is an amenable number.

242011342341 is a deficient number, since it is larger than the sum of its proper divisors (107565763719).

242011342341 is a wasteful number, since it uses less digits than its factorization.

242011342341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397476 (or 397473 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 242011342341 its reverse (143243110242), we get a palindrome (385254452583).

The spelling of 242011342341 in words is "two hundred forty-two billion, eleven million, three hundred forty-two thousand, three hundred forty-one".

Divisors: 1 3 9 86461 259383 311009 778149 933027 2799081 26890149149 80670447447 242011342341