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2444144112 = 243310335477
BaseRepresentation
bin1001000110101110…
…1010110111110000
320022100002101102000
42101223222313300
520001200102422
61042310254000
7114365611404
oct22153526760
96270071360
102444144112
111044723713
12582657300
132cc4a3827
14192871104
15e4895cac
hex91aeadf0

2444144112 has 80 divisors (see below), whose sum is σ = 7023672480. Its totient is φ = 813777408.

The previous prime is 2444144047. The next prime is 2444144117. The reversal of 2444144112 is 2114414442.

It is a happy number.

2444144112 is a `hidden beast` number, since 244 + 4 + 1 + 4 + 411 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 (2444144117) by changing a digit.

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, 443518 + ... + 448994.

It is an arithmetic number, because the mean of its divisors is an integer number (87795906).

Almost surely, 22444144112 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 2444144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511836240).

2444144112 is an abundant number, since it is smaller than the sum of its proper divisors (4579528368).

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

2444144112 is a wasteful number, since it uses less digits than its factorization.

2444144112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6527 (or 6515 counting only the distinct ones).

The product of its digits is 4096, while the sum is 27.

The square root of 2444144112 is about 49438.2858926157. The cubic root of 2444144112 is about 1347.0248357284.

Adding to 2444144112 its reverse (2114414442), we get a palindrome (4558558554).

The spelling of 2444144112 in words is "two billion, four hundred forty-four million, one hundred forty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1033 2066 3099 4132 5477 6198 8264 9297 10954 12396 16431 16528 18594 21908 24792 27891 32862 37188 43816 49293 49584 55782 65724 74376 87632 98586 111564 131448 147879 148752 197172 223128 262896 295758 394344 446256 591516 788688 1183032 2366064 5657741 11315482 16973223 22630964 33946446 45261928 50919669 67892892 90523856 101839338 135785784 152759007 203678676 271571568 305518014 407357352 611036028 814714704 1222072056 2444144112