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8441314091 = 719607104561
BaseRepresentation
bin1111101110010010…
…00011101100101011
3210210021211012000122
413313021003230223
5114241434022331
63513342353455
7416116662110
oct76711035453
923707735018
108441314091
1136419a1241
121776b8b88b
13a46abb412
145a1144907
1534612017b
hex1f7243b2b

8441314091 has 16 divisors (see below), whose sum is σ = 10171791360. Its totient is φ = 6843242880.

The previous prime is 8441314087. The next prime is 8441314099. The reversal of 8441314091 is 1904131448.

8441314091 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 8441314091 - 22 = 8441314087 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8441314099) 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, 28451 + ... + 133011.

It is an arithmetic number, because the mean of its divisors is an integer number (635736960).

Almost surely, 28441314091 is an apocalyptic number.

8441314091 is a deficient number, since it is larger than the sum of its proper divisors (1730477269).

8441314091 is a wasteful number, since it uses less digits than its factorization.

8441314091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105194.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 8441314091 is about 91876.6242904037. The cubic root of 8441314091 is about 2036.1199228520.

The spelling of 8441314091 in words is "eight billion, four hundred forty-one million, three hundred fourteen thousand, ninety-one".

Divisors: 1 7 19 133 607 4249 11533 80731 104561 731927 1986659 13906613 63468527 444279689 1205902013 8441314091