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4444038413857 = 714332087212281
BaseRepresentation
bin100000010101011010101…
…0101001011111000100001
3120201211211200022021210001
41000222311111023320201
51040302342313220412
613241321342140001
7636033262152220
oct100526525137041
916654750267701
104444038413857
111463784913119
125b934b581601
132630c006a613
14115142182cb7
157a8edb9c957
hex40ab554be21

4444038413857 has 16 divisors (see below), whose sum is σ = 5084904529152. Its totient is φ = 3804675759360.

The previous prime is 4444038413827. The next prime is 4444038413861. The reversal of 4444038413857 is 7583148304444.

It is a happy number.

4444038413857 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4444038413857 - 227 = 4443904196129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4444038413798 and 4444038413807.

It is not an unprimeable number, because it can be changed into a prime (4444038413827) 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, 20828557 + ... + 21040837.

It is an arithmetic number, because the mean of its divisors is an integer number (317806533072).

Almost surely, 24444038413857 is an apocalyptic number.

It is an amenable number.

4444038413857 is a deficient number, since it is larger than the sum of its proper divisors (640866115295).

4444038413857 is a wasteful number, since it uses less digits than its factorization.

4444038413857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215808.

The product of its (nonzero) digits is 20643840, while the sum is 55.

The spelling of 4444038413857 in words is "four trillion, four hundred forty-four billion, thirty-eight million, four hundred thirteen thousand, eight hundred fifty-seven".

Divisors: 1 7 1433 2087 10031 14609 212281 1485967 2990671 20934697 304198673 443030447 2129390711 3101213129 634862630551 4444038413857