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444524512113 = 33119780919073
BaseRepresentation
bin1100111011111111011…
…10011100001101110001
31120111101200021221022000
412131333232130031301
524240341233341423
6540113423004213
744054506003143
oct6357756341561
91514350257260
10444524512113
11161581553350
127219a439669
1332bc2b9a4b6
141772d61ac93
15b86a711843
hex677fb9c371

444524512113 has 64 divisors (see below), whose sum is σ = 726765177600. Its totient is φ = 266287841280.

The previous prime is 444524512109. The next prime is 444524512153. The reversal of 444524512113 is 311215425444.

444524512113 is a `hidden beast` number, since 4 + 4 + 4 + 5 + 24 + 512 + 113 = 666.

It is not a de Polignac number, because 444524512113 - 22 = 444524512109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444524512153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23296945 + ... + 23316017.

It is an arithmetic number, because the mean of its divisors is an integer number (11355705900).

Almost surely, 2444524512113 is an apocalyptic number.

It is an amenable number.

444524512113 is a deficient number, since it is larger than the sum of its proper divisors (282240665487).

444524512113 is a wasteful number, since it uses less digits than its factorization.

444524512113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999 (or 19993 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

Adding to 444524512113 its reverse (311215425444), we get a palindrome (755739937557).

The spelling of 444524512113 in words is "four hundred forty-four billion, five hundred twenty-four million, five hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 11 27 33 97 99 291 297 809 873 1067 2427 2619 3201 7281 8899 9603 19073 21843 26697 28809 57219 78473 80091 171657 209803 235419 240273 514971 629409 706257 863203 1850081 1888227 2118771 2589609 5550243 5664681 7768827 15430057 16650729 20350891 23306481 46290171 49952187 61052673 138870513 169730627 183158019 416611539 509191881 549474057 1496715529 1527575643 4490146587 4582726929 13470439761 16463870819 40411319283 49391612457 148174837371 444524512113