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4242440041 = 72731186033
BaseRepresentation
bin1111110011011110…
…0111111101101001
3101221122220021122221
43330313213331221
532142031040131
61540550114041
7210063100600
oct37467477551
911848807587
104242440041
111887823aa4
129a494b921
13527c18068
142c3622a37
1519c6b4411
hexfcde7f69

4242440041 has 12 divisors (see below), whose sum is σ = 5002691412. Its totient is φ = 3586560768.

The previous prime is 4242440029. The next prime is 4242440053. The reversal of 4242440041 is 1400442424.

It is an interprime number because it is at equal distance from previous prime (4242440029) and next prime (4242440053).

It can be written as a sum of positive squares in 2 ways, for example, as 1147854400 + 3094585641 = 33880^2 + 55629^2 .

It is not a de Polignac number, because 4242440041 - 211 = 4242437993 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4242439988 and 4242440015.

It is not an unprimeable number, because it can be changed into a prime (4242440011) 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 11 ways as a sum of consecutive naturals, for example, 589440 + ... + 596593.

It is an arithmetic number, because the mean of its divisors is an integer number (416890951).

Almost surely, 24242440041 is an apocalyptic number.

It is an amenable number.

4242440041 is a deficient number, since it is larger than the sum of its proper divisors (760251371).

4242440041 is a wasteful number, since it uses less digits than its factorization.

4242440041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186120 (or 1186113 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 4242440041 is about 65134.0160054637. The cubic root of 4242440041 is about 1618.8448861838.

Adding to 4242440041 its reverse (1400442424), we get a palindrome (5642882465).

The spelling of 4242440041 in words is "four billion, two hundred forty-two million, four hundred forty thousand, forty-one".

Divisors: 1 7 49 73 511 3577 1186033 8302231 58115617 86580409 606062863 4242440041