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44440496100 = 22375272111329
BaseRepresentation
bin101001011000110111…
…000010011111100100
311020201010122010000000
4221120313002133210
51212003231333400
632225442021300
73132163661400
oct513067023744
9136633563000
1044440496100
1117935557530
128743047830
134263023b50
142218228100
15125176e600
hexa58dc27e4

44440496100 has 1728 divisors, whose sum is σ = 204474412800. Its totient is φ = 8230118400.

The previous prime is 44440496083. The next prime is 44440496123. The reversal of 44440496100 is 169404444.

44440496100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×444404961002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1532430886 + ... + 1532430914.

It is an arithmetic number, because the mean of its divisors is an integer number (118330100).

Almost surely, 244440496100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44440496100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102237206400).

44440496100 is an abundant number, since it is smaller than the sum of its proper divisors (160033916700).

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

44440496100 is a wasteful number, since it uses less digits than its factorization.

44440496100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

It can be divided in two parts, 44 and 440496100, that added together give a square (440496144 = 209882).

The spelling of 44440496100 in words is "forty-four billion, four hundred forty million, four hundred ninety-six thousand, one hundred".