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444004004440 = 23524043461677
BaseRepresentation
bin1100111011000001011…
…00110111001001011000
31120110001101212102000001
412131200230313021120
524233310011120230
6535550030422344
744035555524103
oct6354054671130
91513041772001
10444004004440
1116133475a217
12720740619b4
1332b3c0b4ba9
14176c044773a
15b839b970ca
hex6760b37258

444004004440 has 32 divisors (see below), whose sum is σ = 999052724880. Its totient is φ = 177593830272.

The previous prime is 444004004369. The next prime is 444004004449. The reversal of 444004004440 is 44400400444.

It is a junction number, because it is equal to n+sod(n) for n = 444004004399 and 444004004408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444004004449) 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 7 ways as a sum of consecutive naturals, for example, 730882 + ... + 1192558.

Almost surely, 2444004004440 is an apocalyptic number.

444004004440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444004004440 is an abundant number, since it is smaller than the sum of its proper divisors (555048720440).

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

444004004440 is a wasteful number, since it uses less digits than its factorization.

444004004440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485731 (or 485727 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 444004004440 its reverse (44400400444), we get a palindrome (488404404884).

The spelling of 444004004440 in words is "four hundred forty-four billion, four million, four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 24043 48086 96172 120215 192344 240430 461677 480860 923354 961720 1846708 2308385 3693416 4616770 9233540 18467080 11100100111 22200200222 44400400444 55500500555 88800800888 111001001110 222002002220 444004004440