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242032144221 = 3276757340001
BaseRepresentation
bin1110000101101000111…
…1010110111101011101
3212010201122011211210200
43201122033112331131
512431140212103341
6303104340454113
723325532165350
oct3413217267535
9763648154720
10242032144221
119371092127a
123aaa80aa339
1319a923c1a2a
14ba00514297
15646856cdb6
hex385a3d6f5d

242032144221 has 24 divisors (see below), whose sum is σ = 405508494144. Its totient is φ = 136239840000.

The previous prime is 242032144217. The next prime is 242032144267. The reversal of 242032144221 is 122441230242.

It is a happy number.

242032144221 is a `hidden beast` number, since 2 + 4 + 20 + 3 + 214 + 422 + 1 = 666.

It is not a de Polignac number, because 242032144221 - 22 = 242032144217 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242032144021) 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, 28665780 + ... + 28674221.

It is an arithmetic number, because the mean of its divisors is an integer number (16896187256).

Almost surely, 2242032144221 is an apocalyptic number.

242032144221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242032144221 is a deficient number, since it is larger than the sum of its proper divisors (163476349923).

242032144221 is a wasteful number, since it uses less digits than its factorization.

242032144221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57340081 (or 57340078 counting only the distinct ones).

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

Adding to 242032144221 its reverse (122441230242), we get a palindrome (364473374463).

The spelling of 242032144221 in words is "two hundred forty-two billion, thirty-two million, one hundred forty-four thousand, two hundred twenty-one".

Divisors: 1 3 7 9 21 63 67 201 469 603 1407 4221 57340001 172020003 401380007 516060009 1204140021 3612420063 3841780067 11525340201 26892460469 34576020603 80677381407 242032144221