Search a number
-
+
4244101404041 = 40962171669097
BaseRepresentation
bin111101110000101000001…
…010000001010110001001
3120000201202201112211120102
4331300220022001112021
51024013404424412131
613005414022135145
7615424534465112
oct75605012012611
916021681484512
104244101404041
111396a05665424
12586650b814b5
1324a2a8b04455
141095b65bb209
15755eb01c1cb
hex3dc28281589

4244101404041 has 8 divisors (see below), whose sum is σ = 4255165059240. Its totient is φ = 4233041100288.

The previous prime is 4244101404029. The next prime is 4244101404047. The reversal of 4244101404041 is 1404041014424.

It is a happy number.

4244101404041 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 688534848400 + 3555566555641 = 829780^2 + 1885621^2 .

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 4244101404041 - 218 = 4244101141897 is a prime.

It is a super-2 number, since 2×42441014040412 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4244101403995 and 4244101404013.

It is not an unprimeable number, because it can be changed into a prime (4244101404047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1708205 + ... + 3377301.

It is an arithmetic number, because the mean of its divisors is an integer number (531895632405).

Almost surely, 24244101404041 is an apocalyptic number.

It is an amenable number.

4244101404041 is a deficient number, since it is larger than the sum of its proper divisors (11063655199).

4244101404041 is a wasteful number, since it uses less digits than its factorization.

4244101404041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675723.

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 4244101404041 its reverse (1404041014424), we get a palindrome (5648142418465).

The spelling of 4244101404041 in words is "four trillion, two hundred forty-four billion, one hundred one million, four hundred four thousand, forty-one".

Divisors: 1 409 6217 1669097 2542753 682660673 10376776049 4244101404041