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42404224241 = 291499813521
BaseRepresentation
bin100111011111011111…
…010001110011110001
311001110020000210010202
4213133133101303301
51143320440133431
631251421404545
73030546646631
oct473737216361
9131406023122
1042404224241
1116a90096325
128275109755
133cca1b9b62
1420a3a0a6c1
151182ae48cb
hex9df7d1cf1

42404224241 has 8 divisors (see below), whose sum is σ = 44160849000. Its totient is φ = 40667226880.

The previous prime is 42404224217. The next prime is 42404224253. The reversal of 42404224241 is 14242240424.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 323856016 + 42080368225 = 17996^2 + 205135^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42404224241 - 226 = 42337115377 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42404220241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4902440 + ... + 4911081.

It is an arithmetic number, because the mean of its divisors is an integer number (5520106125).

Almost surely, 242404224241 is an apocalyptic number.

It is an amenable number.

42404224241 is a deficient number, since it is larger than the sum of its proper divisors (1756624759).

42404224241 is a wasteful number, since it uses less digits than its factorization.

42404224241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9813699.

The product of its (nonzero) digits is 16384, while the sum is 29.

Adding to 42404224241 its reverse (14242240424), we get a palindrome (56646464665).

The spelling of 42404224241 in words is "forty-two billion, four hundred four million, two hundred twenty-four thousand, two hundred forty-one".

Divisors: 1 29 149 4321 9813521 284592109 1462214629 42404224241