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242356653242 = 211731371101511
BaseRepresentation
bin1110000110110110010…
…1010000110010111010
3212011120020210121111022
43201231211100302322
512432321300400432
6303200452102442
723336552363654
oct3415545206272
9764506717438
10242356653242
1193868015750
123ab78904a22
1319b146c13c2
14ba316676d4
156486cbdb12
hex386d950cba

242356653242 has 32 divisors (see below), whose sum is σ = 404951059584. Its totient is φ = 107859859200.

The previous prime is 242356653211. The next prime is 242356653397.

It is a happy number.

242356653242 is nontrivially palindromic in base 10.

242356653242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2423566532422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242356653193 and 242356653202.

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 15 ways as a sum of consecutive naturals, for example, 330734 + ... + 770777.

It is an arithmetic number, because the mean of its divisors is an integer number (12654720612).

Almost surely, 2242356653242 is an apocalyptic number.

242356653242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

242356653242 is a deficient number, since it is larger than the sum of its proper divisors (162594406342).

242356653242 is a wasteful number, since it uses less digits than its factorization.

242356653242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101734.

The product of its digits is 2073600, while the sum is 44.

It can be divided in two parts, 242356 and 653242, that added together give a palindrome (895598).

The spelling of 242356653242 in words is "two hundred forty-two billion, three hundred fifty-six million, six hundred fifty-three thousand, two hundred forty-two".

Divisors: 1 2 11 22 73 137 146 274 803 1507 1606 3014 10001 20002 110011 220022 1101511 2203022 12116621 24233242 80410303 150907007 160820606 301814014 884513333 1659977077 1769026666 3319954154 11016211511 22032423022 121178326621 242356653242