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42240424041 = 3239714298273
BaseRepresentation
bin100111010101101110…
…011011100001101001
311001000210210212111200
4213111232123201221
51143002022032131
631223250514413
73023520452214
oct472556334151
9131023725450
1042240424041
1116a06688862
12822a295a09
133ca229876a
142089d6c77b
15117353b2e6
hex9d5b9b869

42240424041 has 24 divisors (see below), whose sum is σ = 61217836680. Its totient is φ = 28066300416.

The previous prime is 42240424021. The next prime is 42240424087. The reversal of 42240424041 is 14042404224.

It can be written as a sum of positive squares in 4 ways, for example, as 5108675625 + 37131748416 = 71475^2 + 192696^2 .

It is not a de Polignac number, because 42240424041 - 26 = 42240423977 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42240423996 and 42240424014.

It is not an unprimeable number, because it can be changed into a prime (42240424021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5101681 + ... + 5109953.

It is an arithmetic number, because the mean of its divisors is an integer number (2550743195).

Almost surely, 242240424041 is an apocalyptic number.

It is an amenable number.

42240424041 is a deficient number, since it is larger than the sum of its proper divisors (18977412639).

42240424041 is a wasteful number, since it uses less digits than its factorization.

42240424041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10105 (or 10102 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 42240424041 its reverse (14042404224), we get a palindrome (56282828265).

The spelling of 42240424041 in words is "forty-two billion, two hundred forty million, four hundred twenty-four thousand, forty-one".

Divisors: 1 3 9 397 1191 1429 3573 4287 8273 12861 24819 74457 567313 1701939 3284381 5105817 9853143 11822117 29559429 35466351 106399053 4693380449 14080141347 42240424041