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2144000033 = 71719948253
BaseRepresentation
bin111111111001010…
…1101100000100001
312112102022111010122
41333302231200201
513342331000113
6552425210025
7104062461650
oct17762554041
95472274118
102144000033
11a00260a5a
124ba030915
13282255296
14164a61197
15c8359408
hex7fcad821

2144000033 has 16 divisors (see below), whose sum is σ = 2730971520. Its totient is φ = 1638579456.

The previous prime is 2144000017. The next prime is 2144000059. The reversal of 2144000033 is 3300004412.

It is not a de Polignac number, because 2144000033 - 24 = 2144000017 is a prime.

It is a super-2 number, since 2×21440000332 = 9193472283008002178, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2143999975 and 2144000020.

It is not an unprimeable number, because it can be changed into a prime (2144000063) 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, 471866 + ... + 476387.

It is an arithmetic number, because the mean of its divisors is an integer number (170685720).

Almost surely, 22144000033 is an apocalyptic number.

It is an amenable number.

2144000033 is a deficient number, since it is larger than the sum of its proper divisors (586971487).

2144000033 is a wasteful number, since it uses less digits than its factorization.

2144000033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948296.

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2144000033 is about 46303.3479675066. The cubic root of 2144000033 is about 1289.4611520691.

Adding to 2144000033 its reverse (3300004412), we get a palindrome (5444004445).

The spelling of 2144000033 in words is "two billion, one hundred forty-four million, thirty-three", and thus it is an aban number.

Divisors: 1 7 17 19 119 133 323 2261 948253 6637771 16120301 18016807 112842107 126117649 306285719 2144000033