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242823555712 = 2711316788133
BaseRepresentation
bin1110001000100101101…
…0010110101010000000
3212012202210100201021101
43202021122112222000
512434300312240322
6303315051304144
723354252111443
oct3421132265200
9765683321241
10242823555712
1193a87626461
123b08914b054
1319b8a35865a
14ba7768565a
1564b2c9a327
hex3889696a80

242823555712 has 32 divisors (see below), whose sum is σ = 488031055380. Its totient is φ = 120337330176.

The previous prime is 242823555697. The next prime is 242823555713. The reversal of 242823555712 is 217555328242.

It is a happy number.

242823555712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 191192809536 + 51630746176 = 437256^2 + 227224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (242823555713) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8379603 + ... + 8408530.

Almost surely, 2242823555712 is an apocalyptic number.

It is an amenable number.

242823555712 is an abundant number, since it is smaller than the sum of its proper divisors (245207499668).

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

242823555712 is a wasteful number, since it uses less digits than its factorization.

242823555712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16788260 (or 16788248 counting only the distinct ones).

The product of its digits is 1344000, while the sum is 46.

The spelling of 242823555712 in words is "two hundred forty-two billion, eight hundred twenty-three million, five hundred fifty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 128 226 452 904 1808 3616 7232 14464 16788133 33576266 67152532 134305064 268610128 537220256 1074440512 1897059029 2148881024 3794118058 7588236116 15176472232 30352944464 60705888928 121411777856 242823555712