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242111410208 = 2525729439617
BaseRepresentation
bin1110000101111011110…
…1101111000000100000
3212010221011022222021222
43201132331233000200
512431321010111313
6303120251434212
723330514013463
oct3413675570040
9763834288258
10242111410208
1193751640a58
123ab0a755968
1319aa5955c95
14ba0ac692da
1564704c9208
hex385ef6f020

242111410208 has 24 divisors (see below), whose sum is σ = 478511550972. Its totient is φ = 120584667136.

The previous prime is 242111410207. The next prime is 242111410231. The reversal of 242111410208 is 802014111242.

242111410208 is digitally balanced in base 2, 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 222380151184 + 19731259024 = 471572^2 + 140468^2 .

It is not an unprimeable number, because it can be changed into a prime (242111410207) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 14711585 + ... + 14728032.

Almost surely, 2242111410208 is an apocalyptic number.

It is an amenable number.

242111410208 is a deficient number, since it is larger than the sum of its proper divisors (236400140764).

242111410208 is a wasteful number, since it uses less digits than its factorization.

242111410208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29439884 (or 29439876 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The spelling of 242111410208 in words is "two hundred forty-two billion, one hundred eleven million, four hundred ten thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 257 514 1028 2056 4112 8224 29439617 58879234 117758468 235516936 471033872 942067744 7565981569 15131963138 30263926276 60527852552 121055705104 242111410208