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4004244402041 = 131873164452109
BaseRepresentation
bin111010010001001111100…
…100001010111101111001
3112011210122200021122221202
4322101033210022331321
51011101143031331131
612303305142143545
7562203623555102
oct72211744127571
915153580248852
104004244402041
111304210635754
12548071421bb5
132307a224c830
14dbb40d133a9
156e25d90abcb
hex3a44f90af79

4004244402041 has 8 divisors (see below), whose sum is σ = 4314565557960. Its totient is φ = 3694252154112.

The previous prime is 4004244402019. The next prime is 4004244402107. The reversal of 4004244402041 is 1402044424004.

It can be written as a sum of positive squares in 4 ways, for example, as 181280944441 + 3822963457600 = 425771^2 + 1955240^2 .

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

It is not a de Polignac number, because 4004244402041 - 26 = 4004244401977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4004244401995 and 4004244402013.

It is not an unprimeable number, because it can be changed into a prime (4004244402941) 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, 82201706 + ... + 82250403.

It is an arithmetic number, because the mean of its divisors is an integer number (539320694745).

Almost surely, 24004244402041 is an apocalyptic number.

It is an amenable number.

4004244402041 is a deficient number, since it is larger than the sum of its proper divisors (310321155919).

4004244402041 is a wasteful number, since it uses less digits than its factorization.

4004244402041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164453995.

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

Adding to 4004244402041 its reverse (1402044424004), we get a palindrome (5406288826045).

The spelling of 4004244402041 in words is "four trillion, four billion, two hundred forty-four million, four hundred two thousand, forty-one".

Divisors: 1 13 1873 24349 164452109 2137877417 308018800157 4004244402041