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44024104400 = 24521731208843
BaseRepresentation
bin101001000000000010…
…101000010111010000
311012122010010012222012
4221000002220113100
51210130132320100
632120245202052
73115646466413
oct510002502720
9135563105865
1044024104400
1117741506261
128647700328
1341c7993623
1421b8bd7b7a
151229e1e135
hexa400a85d0

44024104400 has 120 divisors (see below), whose sum is σ = 115602672384. Its totient is φ = 16039065600.

The previous prime is 44024104391. The next prime is 44024104409. The reversal of 44024104400 is 440142044.

It is an interprime number because it is at equal distance from previous prime (44024104391) and next prime (44024104409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44024104409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106379 + ... + 315221.

Almost surely, 244024104400 is an apocalyptic number.

44024104400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44024104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57801336192).

44024104400 is an abundant number, since it is smaller than the sum of its proper divisors (71578567984).

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

44024104400 is a wasteful number, since it uses less digits than its factorization.

44024104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208909 (or 208898 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 44024104400 its reverse (440142044), we get a palindrome (44464246444).

The spelling of 44024104400 in words is "forty-four billion, twenty-four million, one hundred four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 31 34 40 50 62 68 80 85 100 124 136 155 170 200 248 272 310 340 400 425 496 527 620 680 775 850 1054 1240 1360 1550 1700 2108 2480 2635 3100 3400 4216 5270 6200 6800 8432 10540 12400 13175 21080 26350 42160 52700 105400 208843 210800 417686 835372 1044215 1670744 2088430 3341488 3550331 4176860 5221075 6474133 7100662 8353720 10442150 12948266 14201324 16707440 17751655 20884300 25896532 28402648 32370665 35503310 41768600 51793064 56805296 64741330 71006620 83537200 88758275 103586128 110060261 129482660 142013240 161853325 177516550 220120522 258965320 284026480 323706650 355033100 440241044 517930640 550301305 647413300 710066200 880482088 1100602610 1294826600 1420132400 1760964176 2201205220 2589653200 2751506525 4402410440 5503013050 8804820880 11006026100 22012052200 44024104400