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42242312424 = 23313135392027
BaseRepresentation
bin100111010101110101…
…101000100011101000
311001000221100210212210
4213111311220203220
51143003012444144
631223355205120
73023542505544
oct472565504350
9131027323783
1042242312424
1116a07758604
12822aa467a0
133ca27aa150
14208a300a24
1511737b0ab9
hex9d5d688e8

42242312424 has 32 divisors (see below), whose sum is σ = 113729303520. Its totient is φ = 12997634496.

The previous prime is 42242312393. The next prime is 42242312443. The reversal of 42242312424 is 42421324224.

It is a happy number.

42242312424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42242312391 and 42242312400.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67695702 + ... + 67696325.

It is an arithmetic number, because the mean of its divisors is an integer number (3554040735).

Almost surely, 242242312424 is an apocalyptic number.

It is an amenable number.

42242312424 is an abundant number, since it is smaller than the sum of its proper divisors (71486991096).

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

42242312424 is a wasteful number, since it uses less digits than its factorization.

42242312424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135392049 (or 135392045 counting only the distinct ones).

The product of its digits is 24576, while the sum is 30.

Adding to 42242312424 its reverse (42421324224), we get a palindrome (84663636648).

The spelling of 42242312424 in words is "forty-two billion, two hundred forty-two million, three hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 135392027 270784054 406176081 541568108 812352162 1083136216 1624704324 1760096351 3249408648 3520192702 5280289053 7040385404 10560578106 14080770808 21121156212 42242312424