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242402231104 = 261132845631
BaseRepresentation
bin1110000111000001001…
…1001000001101000000
3212011200102120012120021
43201300103020031000
512432414432343404
6303205201023224
723340644653015
oct3416023101500
9764612505507
10242402231104
1193890816000
123ab90024b14
1319b20c8ba57
14ba3772d70c
15648acc3454
hex38704c8340

242402231104 has 56 divisors (see below), whose sum is σ = 529082666496. Its totient is φ = 110182793600.

The previous prime is 242402231083. The next prime is 242402231111. The reversal of 242402231104 is 401132204242.

242402231104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1337632 + ... + 1507999.

Almost surely, 2242402231104 is an apocalyptic number.

It is an amenable number.

242402231104 is an abundant number, since it is smaller than the sum of its proper divisors (286680435392).

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

242402231104 is an equidigital number, since it uses as much as digits as its factorization.

242402231104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845676 (or 2845644 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 242402231104 its reverse (401132204242), we get a palindrome (643534435346).

The spelling of 242402231104 in words is "two hundred forty-two billion, four hundred two million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1331 1936 2662 3872 5324 7744 10648 21296 42592 85184 2845631 5691262 11382524 22765048 31301941 45530096 62603882 91060192 125207764 182120384 250415528 344321351 500831056 688642702 1001662112 1377285404 2003324224 2754570808 3787534861 5509141616 7575069722 11018283232 15150139444 22036566464 30300278888 60600557776 121201115552 242402231104