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2144234040 = 23351331101439
BaseRepresentation
bin111111111001110…
…0110101000111000
312112102202101010120
41333303212220320
513342410442130
6552434213240
7104064455124
oct17763465070
95472671116
102144234040
11a00400853
124ba124220
13282307950
14164ac2584
15c83a3910
hex7fce6a38

2144234040 has 256 divisors, whose sum is σ = 7238246400. Its totient is φ = 504576000.

The previous prime is 2144234023. The next prime is 2144234083. The reversal of 2144234040 is 404324412.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2144234040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4884141 + ... + 4884579.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 22144234040 is an apocalyptic number.

2144234040 is a gapful number since it is divisible by the number (20) 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 2144234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619123200).

2144234040 is an abundant number, since it is smaller than the sum of its proper divisors (5094012360).

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

2144234040 is a wasteful number, since it uses less digits than its factorization.

2144234040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2144234040 is about 46305.8747892748. The cubic root of 2144234040 is about 1289.5080631316.

Adding to 2144234040 its reverse (404324412), we get a palindrome (2548558452).

The spelling of 2144234040 in words is "two billion, one hundred forty-four million, two hundred thirty-four thousand, forty".