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242143442200 = 235211110065201
BaseRepresentation
bin1110000110000011011…
…1111011010100011000
3212011000101121100221001
43201200313323110120
512431402210122300
6303123354154344
723331353204302
oct3414067732430
9764011540831
10242143442200
119376872a080
123ab194229b4
1319aac48cb1a
14ba11206972
15647320516a
hex3860dfb518

242143442200 has 48 divisors (see below), whose sum is σ = 614163827160. Its totient is φ = 88052160000.

The previous prime is 242143442161. The next prime is 242143442221. The reversal of 242143442200 is 2244341242.

242143442200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 55030401 + ... + 55034800.

Almost surely, 2242143442200 is an apocalyptic number.

242143442200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242143442200 is an abundant number, since it is smaller than the sum of its proper divisors (372020384960).

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

242143442200 is a wasteful number, since it uses less digits than its factorization.

242143442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110065228 (or 110065219 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 242143442200 its reverse (2244341242), we get a palindrome (244387783442).

The spelling of 242143442200 in words is "two hundred forty-two billion, one hundred forty-three million, four hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 110065201 220130402 440260804 550326005 880521608 1100652010 1210717211 2201304020 2421434422 2751630025 4402608040 4842868844 5503260050 6053586055 9685737688 11006520100 12107172110 22013040200 24214344220 30267930275 48428688440 60535860550 121071721100 242143442200