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444513321441 = 3277055767007
BaseRepresentation
bin1100111011111110000…
…11110000000111100001
31120111100220020101120200
412131333003300013201
524240330402241231
6540112343055413
744054311614240
oct6357703600741
91514326211520
10444513321441
111615761aa662
1272196741569
1332bc077c9b7
141772bd46957
15b869750be6
hex677f0f01e1

444513321441 has 12 divisors (see below), whose sum is σ = 733799768832. Its totient is φ = 254007612216.

The previous prime is 444513321433. The next prime is 444513321467. The reversal of 444513321441 is 144123315444.

It is a happy number.

444513321441 is a `hidden beast` number, since 44 + 45 + 133 + 2 + 1 + 441 = 666.

It is not a de Polignac number, because 444513321441 - 23 = 444513321433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 444513321396 and 444513321405.

It is not an unprimeable number, because it can be changed into a prime (444513322441) 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, 3527883441 + ... + 3527883566.

It is an arithmetic number, because the mean of its divisors is an integer number (61149980736).

Almost surely, 2444513321441 is an apocalyptic number.

It is an amenable number.

444513321441 is a deficient number, since it is larger than the sum of its proper divisors (289286447391).

444513321441 is a wasteful number, since it uses less digits than its factorization.

444513321441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055767020 (or 7055767017 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

Adding to 444513321441 its reverse (144123315444), we get a palindrome (588636636885).

The spelling of 444513321441 in words is "four hundred forty-four billion, five hundred thirteen million, three hundred twenty-one thousand, four hundred forty-one".

Divisors: 1 3 7 9 21 63 7055767007 21167301021 49390369049 63501903063 148171107147 444513321441