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44404128880 = 2454325151427
BaseRepresentation
bin101001010110101100…
…010011110001110000
311020121121012110112221
4221112230103301300
51211414424111010
632222102330424
73131242603456
oct512654236160
9136547173487
1044404128880
1117916a78281
128732a29a14
13425862c997
14221347c9d6
15124d488dda
hexa56b13c70

44404128880 has 80 divisors (see below), whose sum is σ = 106063461504. Its totient is φ = 17279136000.

The previous prime is 44404128869. The next prime is 44404128893. The reversal of 44404128880 is 8882140444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 837727 + ... + 889153.

Almost surely, 244404128880 is an apocalyptic number.

44404128880 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 44404128880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53031730752).

44404128880 is an abundant number, since it is smaller than the sum of its proper divisors (61659332624).

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

44404128880 is a wasteful number, since it uses less digits than its factorization.

44404128880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51734 (or 51728 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 43.

The spelling of 44404128880 in words is "forty-four billion, four hundred four million, one hundred twenty-eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 251 344 430 502 688 860 1004 1255 1720 2008 2510 3440 4016 5020 10040 10793 20080 21586 43172 51427 53965 86344 102854 107930 172688 205708 215860 257135 411416 431720 514270 822832 863440 1028540 2057080 2211361 4114160 4422722 8845444 11056805 12908177 17690888 22113610 25816354 35381776 44227220 51632708 64540885 88454440 103265416 129081770 176908880 206530832 258163540 516327080 555051611 1032654160 1110103222 2220206444 2775258055 4440412888 5550516110 8880825776 11101032220 22202064440 44404128880