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44408800040 = 23511100929091
BaseRepresentation
bin101001010110111110…
…001000001100101000
311020121220222210011212
4221112332020030220
51211422123100130
632222350412252
73131330400143
oct512676101450
9136556883155
1044408800040
1117919678840
128734501088
1342595a6b97
142213d3705a
15124daace95
hexa56f88328

44408800040 has 32 divisors (see below), whose sum is σ = 109003419360. Its totient is φ = 16148654400.

The previous prime is 44408800031. The next prime is 44408800049. The reversal of 44408800040 is 4000880444.

Added to its reverse (4000880444) it gives a square (48409680484 = 2200222).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (44408800031) and next prime (44408800049).

It is not an unprimeable number, because it can be changed into a prime (44408800049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50464106 + ... + 50464985.

It is an arithmetic number, because the mean of its divisors is an integer number (3406356855).

Almost surely, 244408800040 is an apocalyptic number.

44408800040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44408800040 is an abundant number, since it is smaller than the sum of its proper divisors (64594619320).

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

44408800040 is a wasteful number, since it uses less digits than its factorization.

44408800040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100929113 (or 100929109 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 44408800040 its reverse (4000880444), we get a square (48409680484 = 2200222).

It can be divided in two parts, 44408 and 800040, that added together give a palindrome (844448).

The spelling of 44408800040 in words is "forty-four billion, four hundred eight million, eight hundred thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 100929091 201858182 403716364 504645455 807432728 1009290910 1110220001 2018581820 2220440002 4037163640 4440880004 5551100005 8881760008 11102200010 22204400020 44408800040