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440444000440 = 23576114469251
BaseRepresentation
bin1100110100011001000…
…00100001100010111000
31120002212022002110121001
412122030200201202320
524204012131003230
6534200455254344
743551420142513
oct6321440414270
91502768073531
10440444000440
1115a878179554
127143b97a3b4
13326c2699852
1417463709d7a
15b6cc3860ca
hex668c8218b8

440444000440 has 32 divisors (see below), whose sum is σ = 992301302160. Its totient is φ = 175946080000.

The previous prime is 440444000351. The next prime is 440444000453. The reversal of 440444000440 is 44000444044.

It is a junction number, because it is equal to n+sod(n) for n = 440444000399 and 440444000408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7204186 + ... + 7265065.

Almost surely, 2440444000440 is an apocalyptic number.

440444000440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

440444000440 is an abundant number, since it is smaller than the sum of its proper divisors (551857301720).

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

440444000440 is a wasteful number, since it uses less digits than its factorization.

440444000440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14470023 (or 14470019 counting only the distinct ones).

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

Adding to 440444000440 its reverse (44000444044), we get a palindrome (484444444484).

The spelling of 440444000440 in words is "four hundred forty billion, four hundred forty-four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 761 1522 3044 3805 6088 7610 15220 30440 14469251 28938502 57877004 72346255 115754008 144692510 289385020 578770040 11011100011 22022200022 44044400044 55055500055 88088800088 110111000110 220222000220 440444000440