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2144800384 = 27127131939
BaseRepresentation
bin111111111010111…
…0000111010000000
312112110211011000021
41333311300322000
513343032103014
6552454303224
7104102334226
oct17765607200
95473734007
102144800384
11a00758301
124ba357b14
1328247566c
14164bccb16
15c8466624
hex7fd70e80

2144800384 has 32 divisors (see below), whose sum is σ = 4306521600. Its totient is φ = 1063948032.

The previous prime is 2144800367. The next prime is 2144800421. The reversal of 2144800384 is 4830084412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 49714 + ... + 82225.

It is an arithmetic number, because the mean of its divisors is an integer number (134578800).

Almost surely, 22144800384 is an apocalyptic number.

It is an amenable number.

2144800384 is an abundant number, since it is smaller than the sum of its proper divisors (2161721216).

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

2144800384 is a wasteful number, since it uses less digits than its factorization.

2144800384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132080 (or 132068 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 2144800384 is about 46311.9896355145. The cubic root of 2144800384 is about 1289.6215832128.

Adding to 2144800384 its reverse (4830084412), we get a palindrome (6974884796).

The spelling of 2144800384 in words is "two billion, one hundred forty-four million, eight hundred thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 2032 4064 8128 16256 131939 263878 527756 1055512 2111024 4222048 8444096 16756253 16888192 33512506 67025012 134050024 268100048 536200096 1072400192 2144800384