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242240320322 = 271113379319259
BaseRepresentation
bin1110000110011010100…
…1011111001101000010
3212011021010220021201122
43201212221133031002
512432102010222242
6303141134432242
723333640514640
oct3414651371502
9764233807648
10242240320322
1193808389040
123ab45962682
1319ac657c660
14ba20024190
15647b98ead2
hex3866a5f342

242240320322 has 64 divisors (see below), whose sum is σ = 489157401600. Its totient is φ = 86889257280.

The previous prime is 242240320307. The next prime is 242240320339. The reversal of 242240320322 is 223023042242.

242240320322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 242240320291 and 242240320300.

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 31 ways as a sum of consecutive naturals, for example, 599129 + ... + 918387.

It is an arithmetic number, because the mean of its divisors is an integer number (7643084400).

Almost surely, 2242240320322 is an apocalyptic number.

242240320322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242240320322 is an abundant number, since it is smaller than the sum of its proper divisors (246917081278).

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

242240320322 is a wasteful number, since it uses less digits than its factorization.

242240320322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319671.

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 242240320322 its reverse (223023042242), we get a palindrome (465263362564).

The spelling of 242240320322 in words is "two hundred forty-two billion, two hundred forty million, three hundred twenty thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 379 758 1001 2002 2653 4169 4927 5306 8338 9854 29183 34489 54197 58366 68978 108394 319259 379379 638518 758758 2234813 3511849 4150367 4469626 7023698 8300734 24582943 29052569 45654037 49165886 58105138 91308074 120999161 241998322 319578259 639156518 846994127 1330990771 1572989093 1693988254 2661981542 3145978186 9316935397 11010923651 17302880023 18633870794 22021847302 34605760046 121120160161 242240320322