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2144144304 = 243338312959
BaseRepresentation
bin111111111001101…
…0000101110110000
312112102120211001000
41333303100232300
513342400104204
6552432242000
7104063632401
oct17763205660
95472524030
102144144304
11a0034a395
124ba0a0300
132822a5b53
14164a9b9a8
15c8387039
hex7fcd0bb0

2144144304 has 80 divisors (see below), whose sum is σ = 6171033600. Its totient is φ = 712793664.

The previous prime is 2144144297. The next prime is 2144144333. The reversal of 2144144304 is 4034414412.

2144144304 is a `hidden beast` number, since 214 + 4 + 1 + 443 + 0 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158977 + ... + 171935.

It is an arithmetic number, because the mean of its divisors is an integer number (77137920).

Almost surely, 22144144304 is an apocalyptic number.

2144144304 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 2144144304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3085516800).

2144144304 is an abundant number, since it is smaller than the sum of its proper divisors (4026889296).

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

2144144304 is a wasteful number, since it uses less digits than its factorization.

2144144304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13359 (or 13347 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 2144144304 is about 46304.9058308080. The cubic root of 2144144304 is about 1289.4900742822.

Adding to 2144144304 its reverse (4034414412), we get a palindrome (6178558716).

The spelling of 2144144304 in words is "two billion, one hundred forty-four million, one hundred forty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 383 432 766 1149 1532 2298 3064 3447 4596 6128 6894 9192 10341 12959 13788 18384 20682 25918 27576 38877 41364 51836 55152 77754 82728 103672 116631 155508 165456 207344 233262 311016 349893 466524 622032 699786 933048 1399572 1866096 2799144 4963297 5598288 9926594 14889891 19853188 29779782 39706376 44669673 59559564 79412752 89339346 119119128 134009019 178678692 238238256 268018038 357357384 536036076 714714768 1072072152 2144144304