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242332321333014 = 23411135988956977
BaseRepresentation
bin110111000110011001100011…
…111011100011111100010110
31011210000202002010121210020000
4313012121203323203330112
5223230333043230124024
62215221533114152130
7102020634554532453
oct6706314373437426
91153022063553200
10242332321333014
117023a618890370
1223219764122646
13a52aabc1b5913
1443bad3855c82a
151d03946c58cc9
hexdc6663ee3f16

242332321333014 has 40 divisors (see below), whose sum is σ = 592367896596168. Its totient is φ = 73434036767040.

The previous prime is 242332321332977. The next prime is 242332321333019. The reversal of 242332321333014 is 410333123233242.

242332321333014 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 323 + 21 + 3 + 3 + 301 + 4 = 666.

It is a super-3 number, since 3×2423323213330143 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242332321333014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242332321333019) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 67994476707 + ... + 67994480270.

Almost surely, 2242332321333014 is an apocalyptic number.

242332321333014 is an abundant number, since it is smaller than the sum of its proper divisors (350035575263154).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242332321333014 is a wasteful number, since it uses less digits than its factorization.

242332321333014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135988957002 (or 135988956993 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 242332321333014 its reverse (410333123233242), we get a palindrome (652665444566256).

The spelling of 242332321333014 in words is "two hundred forty-two trillion, three hundred thirty-two billion, three hundred twenty-one million, three hundred thirty-three thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 135988956977 271977913954 407966870931 815933741862 1223900612793 1495878526747 2447801225586 2991757053494 3671701838379 4487635580241 7343403676758 8975271160482 11015105515137 13462906740723 22030211030274 26925813481446 40388720222169 80777440444338 121166160666507 242332321333014