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444221320311 = 351828071277
BaseRepresentation
bin1100111011011011010…
…01110110110001110111
31120110121112210012100000
412131231221312301313
524234231124222221
6540023352322343
744044134631056
oct6355551666167
91513545705300
10444221320311
1116143639990a
12721149a33b3
1332b75122972
141770125639d
15b84dcc1e26
hex676da76c77

444221320311 has 12 divisors (see below), whose sum is σ = 665417945192. Its totient is φ = 296147546712.

The previous prime is 444221320243. The next prime is 444221320357. The reversal of 444221320311 is 113023122444.

444221320311 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 21 + 320 + 311 = 666.

It is not a de Polignac number, because 444221320311 - 223 = 444212931703 is a prime.

It is a super-2 number, since 2×4442213203112 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444221720311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914035396 + ... + 914035881.

Almost surely, 2444221320311 is an apocalyptic number.

444221320311 is a deficient number, since it is larger than the sum of its proper divisors (221196624881).

444221320311 is an equidigital number, since it uses as much as digits as its factorization.

444221320311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828071292 (or 1828071280 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 444221320311 its reverse (113023122444), we get a palindrome (557244442755).

The spelling of 444221320311 in words is "four hundred forty-four billion, two hundred twenty-one million, three hundred twenty thousand, three hundred eleven".

Divisors: 1 3 9 27 81 243 1828071277 5484213831 16452641493 49357924479 148073773437 444221320311