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444242245217 = 319728121871
BaseRepresentation
bin1100111011011101110…
…01101011011001100001
31120110200000011021220112
412131232321223121201
524234302003321332
6540025421021105
744044510531451
oct6355671533141
91513600137815
10444242245217
11161447191021
127211b9b4795
1332b7956b074
1417703d41d61
15b850a56db2
hex676ee6b661

444242245217 has 24 divisors (see below), whose sum is σ = 465203321856. Its totient is φ = 423739008000.

The previous prime is 444242245207. The next prime is 444242245231. The reversal of 444242245217 is 712542242444.

It is not a de Polignac number, because 444242245217 - 216 = 444242179681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444242245207) 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 23 ways as a sum of consecutive naturals, for example, 237434792 + ... + 237436662.

It is an arithmetic number, because the mean of its divisors is an integer number (19383471744).

Almost surely, 2444242245217 is an apocalyptic number.

It is an amenable number.

444242245217 is a deficient number, since it is larger than the sum of its proper divisors (20961076639).

444242245217 is an equidigital number, since it uses as much as digits as its factorization.

444242245217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561 (or 2280 counting only the distinct ones).

The product of its digits is 573440, while the sum is 41.

The spelling of 444242245217 in words is "four hundred forty-four billion, two hundred forty-two million, two hundred forty-five thousand, two hundred seventeen".

Divisors: 1 31 97 281 1871 3007 8711 27257 58001 78961 181487 525751 844967 2447791 5626097 7659217 16298281 50997847 147736031 237435727 1580933257 4579816961 14330395007 444242245217