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144323344000 = 27531123101353
BaseRepresentation
bin1000011001101001010…
…1110111011010000000
3111210112010211111210001
42012122111313122000
54331033234002000
6150145022045344
713266316116523
oct2063225673200
9453463744701
10144323344000
1156230846510
1223b79719854
13107c0495a04
146db18b0bba
153b4a56746a
hex219a577680

144323344000 has 512 divisors, whose sum is σ = 413676357120. Its totient is φ = 49561600000.

The previous prime is 144323343961. The next prime is 144323344027. The reversal of 144323344000 is 443323441.

It is a self number, because there is not a number n which added to its sum of digits gives 144323344000.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 408847824 + ... + 408848176.

It is an arithmetic number, because the mean of its divisors is an integer number (807961635).

Almost surely, 2144323344000 is an apocalyptic number.

144323344000 is a gapful number since it is divisible by the number (10) 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 144323344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206838178560).

144323344000 is an abundant number, since it is smaller than the sum of its proper divisors (269353013120).

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

144323344000 is a wasteful number, since it uses less digits than its factorization.

144323344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 144323344000 its reverse (443323441), we get a palindrome (144766667441).

The spelling of 144323344000 in words is "one hundred forty-four billion, three hundred twenty-three million, three hundred forty-four thousand".