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4444223144431 = 7298411921629
BaseRepresentation
bin100000010101100000001…
…0101111000000111101111
3120201212022112220120111011
41000223000111320013233
51040303232111110211
613241351541410051
7636040664302300
oct100530025700757
916655275816434
104444223144431
11146386a116a14
125b93a1409927
1326311c409755
1411515c90c7a7
157a90eedc921
hex40ac05781ef

4444223144431 has 12 divisors (see below), whose sum is σ = 5169868738920. Its totient is φ = 3809291282160.

The previous prime is 4444223144419. The next prime is 4444223144437. The reversal of 4444223144431 is 1344413224444.

It is not a de Polignac number, because 4444223144431 - 225 = 4444189589999 is a prime.

It is a super-3 number, since 3×44442231444313 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4444223144437) 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, 4361325 + ... + 5282953.

It is an arithmetic number, because the mean of its divisors is an integer number (430822394910).

Almost surely, 24444223144431 is an apocalyptic number.

4444223144431 is a deficient number, since it is larger than the sum of its proper divisors (725645594489).

4444223144431 is an equidigital number, since it uses as much as digits as its factorization.

4444223144431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020054 (or 1020047 counting only the distinct ones).

The product of its digits is 589824, while the sum is 40.

Adding to 4444223144431 its reverse (1344413224444), we get a palindrome (5788636368875).

It can be divided in two parts, 444422 and 3144431, that added together give a palindrome (3588853).

The spelling of 4444223144431 in words is "four trillion, four hundred forty-four billion, two hundred twenty-three million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 7 49 98411 688877 921629 4822139 6451403 45159821 90698431519 634889020633 4444223144431