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2444124144 = 243711411272
BaseRepresentation
bin1001000110101110…
…0101111111110000
320022100001101000110
42101223211333300
520001143433034
61042310021320
7114365466240
oct22153457760
96270041013
102444124144
11104470a710
12582647840
132cc497707
14192867b20
15e488ede9
hex91ae5ff0

2444124144 has 240 divisors, whose sum is σ = 8127979776. Its totient is φ = 614476800.

The previous prime is 2444124143. The next prime is 2444124161. The reversal of 2444124144 is 4414214442.

It is a super-3 number, since 3×24441241443 (a number of 29 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444124143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19245009 + ... + 19245135.

Almost surely, 22444124144 is an apocalyptic number.

2444124144 is a gapful number since it is divisible by the number (24) 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 2444124144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063989888).

2444124144 is an abundant number, since it is smaller than the sum of its proper divisors (5683855632).

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

2444124144 is a wasteful number, since it uses less digits than its factorization.

2444124144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 191 counting only the distinct ones).

The product of its digits is 16384, while the sum is 30.

The square root of 2444124144 is about 49438.0839434540. The cubic root of 2444124144 is about 1347.0211674416.

Adding to 2444124144 its reverse (4414214442), we get a palindrome (6858338586).

The spelling of 2444124144 in words is "two billion, four hundred forty-four million, one hundred twenty-four thousand, one hundred forty-four".