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242332014012 = 223118693211187
BaseRepresentation
bin1110000110110000011…
…1010001010110111100
3212011111112102210211020
43201230013101112330
512432243443422022
6303154212024140
723336133063324
oct3415407212674
9764445383736
10242332014012
1193855116950
123ab70602050
1319b0c57548a
14ba2c292284
156484a5335c
hex386c1d15bc

242332014012 has 48 divisors (see below), whose sum is σ = 616919006592. Its totient is φ = 73425148480.

The previous prime is 242332013981. The next prime is 242332014047. The reversal of 242332014012 is 210410233242.

It is a happy number.

242332014012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423320140122 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1041883 + ... + 1253069.

It is an arithmetic number, because the mean of its divisors is an integer number (12852479304).

Almost surely, 2242332014012 is an apocalyptic number.

242332014012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242332014012 is an abundant number, since it is smaller than the sum of its proper divisors (374586992580).

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

242332014012 is a wasteful number, since it uses less digits than its factorization.

242332014012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219898 (or 219896 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242332014012 its reverse (210410233242), we get a palindrome (452742247254).

The spelling of 242332014012 in words is "two hundred forty-two billion, three hundred thirty-two million, fourteen thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 8693 17386 26079 34772 52158 95623 104316 191246 211187 286869 382492 422374 573738 633561 844748 1147476 1267122 2323057 2534244 4646114 6969171 9292228 13938342 27876684 1835848591 3671697182 5507545773 7343394364 11015091546 20194334501 22030183092 40388669002 60583003503 80777338004 121166007006 242332014012