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441334433144 = 23115015164013
BaseRepresentation
bin1100110110000011001…
…01010000010101111000
31120012011100121010122002
412123001211100111320
524212323103330034
6534425104320132
743612451533313
oct6330145202570
91505140533562
10441334433144
11160194866850
127164a013048
1332804cc35c7
1417509a9597a
15b730622e7e
hex66c1950578

441334433144 has 16 divisors (see below), whose sum is σ = 902729522520. Its totient is φ = 200606560480.

The previous prime is 441334433143. The next prime is 441334433207.

441334433144 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 441334433098 and 441334433107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441334433143) 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, 2507581919 + ... + 2507582094.

Almost surely, 2441334433144 is an apocalyptic number.

441334433144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441334433144 is an abundant number, since it is smaller than the sum of its proper divisors (461395089376).

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

441334433144 is a wasteful number, since it uses less digits than its factorization.

441334433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5015164030 (or 5015164026 counting only the distinct ones).

The product of its digits is 331776, while the sum is 38.

It can be divided in two parts, 441334 and 433144, that added together give a palindrome (874478).

The spelling of 441334433144 in words is "four hundred forty-one billion, three hundred thirty-four million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 5015164013 10030328026 20060656052 40121312104 55166804143 110333608286 220667216572 441334433144