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444310221001 = 1725329007653
BaseRepresentation
bin1100111011100101111…
…00111111000011001001
31120110211202001211011011
412131302330333003021
524234421404033001
6540040250003521
744046264364543
oct6356274770311
91513752054134
10444310221001
1116148159a259
127213a7165a1
1332b8a67b41a
141770cd98693
15b8569d2d51
hex6772f3f0c9

444310221001 has 12 divisors (see below), whose sum is σ = 480888888012. Its totient is φ = 410284229888.

The previous prime is 444310220971. The next prime is 444310221007. The reversal of 444310221001 is 100122013444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14366419600 + 429943801401 = 119860^2 + 655701^2 .

It is not a de Polignac number, because 444310221001 - 211 = 444310218953 is a prime.

It is a super-2 number, since 2×4443102210012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444310221007) 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 11 ways as a sum of consecutive naturals, for example, 14488510 + ... + 14519143.

It is an arithmetic number, because the mean of its divisors is an integer number (40074074001).

Almost surely, 2444310221001 is an apocalyptic number.

It is an amenable number.

444310221001 is a deficient number, since it is larger than the sum of its proper divisors (36578667011).

444310221001 is a wasteful number, since it uses less digits than its factorization.

444310221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29007740 (or 29007723 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 444310221001 its reverse (100122013444), we get a palindrome (544432234445).

The spelling of 444310221001 in words is "four hundred forty-four billion, three hundred ten million, two hundred twenty-one thousand, one".

Divisors: 1 17 53 289 901 15317 29007653 493130101 1537405609 8383211717 26135895353 444310221001