Search a number
-
+
242721189467199 = 32458323827246971
BaseRepresentation
bin110111001100000011101110…
…010001110001010000111111
31011211101220211000121210002100
4313030003232101301100333
5223303220444000422244
62220120324120000143
7102061012226246262
oct6714035621612077
91154356730553070
10242721189467199
117037a5297a9163
1223280bab300053
13a5586824a97c1
1443d1aa8126cd9
151d0db06216b69
hexdcc0ee47143f

242721189467199 has 24 divisors (see below), whose sum is σ = 350689910643072. Its totient is φ = 161771374092240.

The previous prime is 242721189467191. The next prime is 242721189467203. The reversal of 242721189467199 is 991764981127242.

242721189467199 is a `hidden beast` number, since 2 + 4 + 2 + 72 + 1 + 1 + 8 + 9 + 467 + 1 + 99 = 666.

It is not a de Polignac number, because 242721189467199 - 23 = 242721189467191 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242721189467191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982668784 + ... + 982915754.

It is an arithmetic number, because the mean of its divisors is an integer number (14612079610128).

Almost surely, 2242721189467199 is an apocalyptic number.

242721189467199 is a deficient number, since it is larger than the sum of its proper divisors (107968721175873).

242721189467199 is a wasteful number, since it uses less digits than its factorization.

242721189467199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275387 (or 275384 counting only the distinct ones).

The product of its digits is 219469824, while the sum is 72.

The spelling of 242721189467199 in words is "two hundred forty-two trillion, seven hundred twenty-one billion, one hundred eighty-nine million, four hundred sixty-seven thousand, one hundred ninety-nine".

Divisors: 1 3 9 4583 13749 23827 41247 71481 214443 246971 740913 2222739 109199141 327597423 982792269 1131868093 3395604279 5884578017 10186812837 17653734051 52961202153 26969021051911 80907063155733 242721189467199