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242240241321 = 32132159263801
BaseRepresentation
bin1110000110011010100…
…1001011111010101001
3212011021010202021100200
43201212221023322221
512432102000210241
6303141133022413
723333640035421
oct3414651137251
9764233667320
10242240241321
1193808334751
123ab45924a09
1319ac6552700
14ba20003481
15647b9764b6
hex3866a4bea9

242240241321 has 18 divisors (see below), whose sum is σ = 378888584958. Its totient is φ = 149070916800.

The previous prime is 242240241319. The next prime is 242240241343. The reversal of 242240241321 is 123142042242.

It is a happy number.

242240241321 is a `hidden beast` number, since 2 + 4 + 2 + 240 + 2 + 413 + 2 + 1 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 8951241321 + 233289000000 = 94611^2 + 483000^2 .

It is not a de Polignac number, because 242240241321 - 21 = 242240241319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242240241121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 79630380 + ... + 79633421.

It is an arithmetic number, because the mean of its divisors is an integer number (21049365831).

Almost surely, 2242240241321 is an apocalyptic number.

It is an amenable number.

242240241321 is a deficient number, since it is larger than the sum of its proper divisors (136648343637).

242240241321 is a wasteful number, since it uses less digits than its factorization.

242240241321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159263833 (or 159263817 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 242240241321 its reverse (123142042242), we get a palindrome (365382283563).

The spelling of 242240241321 in words is "two hundred forty-two billion, two hundred forty million, two hundred forty-one thousand, three hundred twenty-one".

Divisors: 1 3 9 13 39 117 169 507 1521 159263801 477791403 1433374209 2070429413 6211288239 18633864717 26915582369 80746747107 242240241321