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242050503240000 = 26325471326212819
BaseRepresentation
bin110111000010010011000110…
…010000110110100101000000
31011202000210122202011022222100
4313002103012100312211000
5223211223412312140000
62214444244402310400
7101661400054342230
oct6702230620664500
91152023582138870
10242050503240000
1170141050920984
1223193013958400
13a50a3591a8470
1443ab442079cc0
151ceb4508d6a00
hexdc24c6436940

242050503240000 has 1680 divisors, whose sum is σ = 1067819691818880. Its totient is φ = 51032401920000.

The previous prime is 242050503239999. The next prime is 242050503240023. The reversal of 242050503240000 is 42305050242.

It is a happy number.

242050503240000 is a `hidden beast` number, since 2 + 4 + 205 + 0 + 50 + 3 + 2 + 400 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×2420505032400002 (a number of 30 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 239 ways as a sum of consecutive naturals, for example, 85863958591 + ... + 85863961409.

It is an arithmetic number, because the mean of its divisors is an integer number (635606959416).

Almost surely, 2242050503240000 is an apocalyptic number.

242050503240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242050503240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533909845909440).

242050503240000 is an abundant number, since it is smaller than the sum of its proper divisors (825769188578880).

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

242050503240000 is a wasteful number, since it uses less digits than its factorization.

242050503240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5498 (or 5470 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

Adding to 242050503240000 its reverse (42305050242), we get a palindrome (242092808290242).

The spelling of 242050503240000 in words is "two hundred forty-two trillion, fifty billion, five hundred three million, two hundred forty thousand".