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2144441232 = 243219783787
BaseRepresentation
bin111111111010001…
…1001001110010000
312112110010220100100
41333310121032100
513342434104412
6552442452400
7104066310153
oct17764311620
95473126310
102144441232
11a0053248a
124ba204100
1328237b04b
14164b37c9a
15c83e4edc
hex7fd19390

2144441232 has 60 divisors (see below), whose sum is σ = 6317331280. Its totient is φ = 677191104.

The previous prime is 2144441207. The next prime is 2144441267. The reversal of 2144441232 is 2321444412.

2144441232 is a `hidden beast` number, since 214 + 4 + 4 + 412 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2144441196 and 2144441205.

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 11 ways as a sum of consecutive naturals, for example, 389158 + ... + 394629.

Almost surely, 22144441232 is an apocalyptic number.

It is an amenable number.

2144441232 is an abundant number, since it is smaller than the sum of its proper divisors (4172890048).

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

2144441232 is a wasteful number, since it uses less digits than its factorization.

2144441232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783820 (or 783811 counting only the distinct ones).

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

The square root of 2144441232 is about 46308.1119459647. Note that the first 3 decimals coincide. The cubic root of 2144441232 is about 1289.5495957791.

Adding to 2144441232 its reverse (2321444412), we get a palindrome (4465885644).

The spelling of 2144441232 in words is "two billion, one hundred forty-four million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 783787 1567574 2351361 3135148 4702722 6270296 7054083 9405444 12540592 14108166 14891953 18810888 28216332 29783906 37621776 44675859 56432664 59567812 89351718 112865328 119135624 134027577 178703436 238271248 268055154 357406872 536110308 714813744 1072220616 2144441232