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4444013404441 = 131931580385713
BaseRepresentation
bin100000010101011001111…
…0101110010000100011001
3120201211202221020200022101
41000222303311302010121
51040302314412420231
613241315050123401
7636032536450402
oct100526365620431
916654687220271
104444013404441
111463771791186
125b9343120561
132630b7b22050
1411513cb129a9
157a8eb8ac661
hex40ab3d72119

4444013404441 has 16 divisors (see below), whose sum is σ = 5200255997440. Its totient is φ = 3760899413760.

The previous prime is 4444013404429. The next prime is 4444013404447. The reversal of 4444013404441 is 1444043104444.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4444013404441 - 215 = 4444013371673 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4444013404441.

It is not an unprimeable number, because it can be changed into a prime (4444013404447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290185200 + ... + 290200513.

It is an arithmetic number, because the mean of its divisors is an integer number (325015999840).

Almost surely, 24444013404441 is an apocalyptic number.

It is an amenable number.

4444013404441 is a deficient number, since it is larger than the sum of its proper divisors (756242592999).

4444013404441 is a wasteful number, since it uses less digits than its factorization.

4444013404441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580385776.

The product of its (nonzero) digits is 196608, while the sum is 37.

Adding to 4444013404441 its reverse (1444043104444), we get a palindrome (5888056508885).

The spelling of 4444013404441 in words is "four trillion, four hundred forty-four billion, thirteen million, four hundred four thousand, four hundred forty-one".

Divisors: 1 13 19 31 247 403 589 7657 580385713 7545014269 11027328547 17991957103 143355271111 233895442339 341847184957 4444013404441