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44400044400 = 24352371019901
BaseRepresentation
bin101001010110011100…
…101110100101110000
311020121022111221200220
4221112130232211300
51211412402410100
632221435013040
73131163102405
oct512634564560
9136538457626
1044400044400
1117914738578
12873159a180
13425782c82a
142212ad82ac
15124ce2daa0
hexa5672e970

44400044400 has 240 divisors, whose sum is σ = 147533304288. Its totient is φ = 11404800000.

The previous prime is 44400044387. The next prime is 44400044431. The reversal of 44400044400 is 444000444.

44400044400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a zygodrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4479450 + ... + 4489350.

Almost surely, 244400044400 is an apocalyptic number.

44400044400 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 44400044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73766652144).

44400044400 is an abundant number, since it is smaller than the sum of its proper divisors (103133259888).

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

44400044400 is a wasteful number, since it uses less digits than its factorization.

44400044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10060 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

Adding to 44400044400 its reverse (444000444), we get a palindrome (44844044844).

44400044400 divided by its reverse (444000444) gives a square (100 = 102).

It can be divided in two parts, 44400044 and 400, that added together give a palindrome (44400444).

The spelling of 44400044400 in words is "forty-four billion, four hundred million, forty-four thousand, four hundred".