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4442247953 = 1121310127961
BaseRepresentation
bin1000010001100011…
…10101001100010001
3102110120212120120222
410020301311030101
533044203413303
62012444442425
7215040325133
oct41061651421
912416776528
104442247953
11197a595700
12a3b849415
1355a435ab0
14301d95053
151aeed1938
hex108c75311

4442247953 has 24 divisors (see below), whose sum is σ = 5310654888. Its totient is φ = 3690720000.

The previous prime is 4442247923. The next prime is 4442247959. The reversal of 4442247953 is 3597422444.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 521985409 + 3920262544 = 22847^2 + 62612^2 .

It is a de Polignac number, because none of the positive numbers 2k-4442247953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4442247959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144893 + ... + 172853.

It is an arithmetic number, because the mean of its divisors is an integer number (221277287).

Almost surely, 24442247953 is an apocalyptic number.

It is an amenable number.

4442247953 is a deficient number, since it is larger than the sum of its proper divisors (868406935).

4442247953 is a wasteful number, since it uses less digits than its factorization.

4442247953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28097 (or 28086 counting only the distinct ones).

The product of its digits is 967680, while the sum is 44.

The square root of 4442247953 is about 66650.1909449628. The cubic root of 4442247953 is about 1643.8704875696.

The spelling of 4442247953 in words is "four billion, four hundred forty-two million, two hundred forty-seven thousand, nine hundred fifty-three".

Divisors: 1 11 13 101 121 143 1111 1313 1573 12221 14443 27961 158873 307571 363493 2824061 3383281 3998423 31064671 36712793 43982653 341711381 403840723 4442247953