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444481555969 = 11224115242329
BaseRepresentation
bin1100111011111010010…
…10100100111000000001
31120111021200110112112201
412131331022210320001
524240244234242334
6540105250153201
744053444613443
oct6357512447001
91514250415481
10444481555969
1116155a283800
1272187b82801
1332bb700a269
1417727a38493
15b866a78c14
hex677d2a4e01

444481555969 has 12 divisors (see below), whose sum is σ = 490589633380. Its totient is φ = 402397459200.

The previous prime is 444481555963. The next prime is 444481556063. The reversal of 444481555969 is 969555184444.

It can be written as a sum of positive squares in 2 ways, for example, as 140370115600 + 304111440369 = 374660^2 + 551463^2 .

It is not a de Polignac number, because 444481555969 - 221 = 444479458817 is a prime.

It is a super-2 number, since 2×4444815559692 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 444481555969.

It is not an unprimeable number, because it can be changed into a prime (444481555963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7592004 + ... + 7650325.

Almost surely, 2444481555969 is an apocalyptic number.

It is an amenable number.

444481555969 is a deficient number, since it is larger than the sum of its proper divisors (46108077411).

444481555969 is a wasteful number, since it uses less digits than its factorization.

444481555969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15242592 (or 15242581 counting only the distinct ones).

The product of its digits is 124416000, while the sum is 64.

The spelling of 444481555969 in words is "four hundred forty-four billion, four hundred eighty-one million, five hundred fifty-five thousand, nine hundred sixty-nine".

Divisors: 1 11 121 241 2651 29161 15242329 167665619 1844321809 3673401289 40407414179 444481555969