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443044440344 = 23115034595913
BaseRepresentation
bin1100111001001111000…
…00011010100100011000
31120100120112021111112002
412130213200122210120
524224323334042334
6535310511540132
744003024415122
oct6344740324430
91510515244462
10443044440344
11160992044540
1271a4682a648
1332a18364a9c
141762cc24212
15b7d0801b7e
hex672781a918

443044440344 has 16 divisors (see below), whose sum is σ = 906227264520. Its totient is φ = 201383836480.

The previous prime is 443044440263. The next prime is 443044440347.

443044440344 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4430444403442 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 443044440298 and 443044440307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (443044440347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2517297869 + ... + 2517298044.

Almost surely, 2443044440344 is an apocalyptic number.

443044440344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

443044440344 is an abundant number, since it is smaller than the sum of its proper divisors (463182824176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

443044440344 is a wasteful number, since it uses less digits than its factorization.

443044440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5034595930 (or 5034595926 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 38.

It can be divided in two parts, 443044 and 440344, that added together give a palindrome (883388).

The spelling of 443044440344 in words is "four hundred forty-three billion, forty-four million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 5034595913 10069191826 20138383652 40276767304 55380555043 110761110086 221522220172 443044440344