Search a number
-
+
2144341332 = 223273173659
BaseRepresentation
bin111111111010000…
…0000110101010100
312112102221211022100
41333310000311110
513342422410312
6552440402100
7104065413000
oct17764006524
95472854270
102144341332
11a00474421
124ba176330
13282344733
14164b0d700
15c83c55dc
hex7fd00d54

2144341332 has 72 divisors (see below), whose sum is σ = 6321224000. Its totient is φ = 612665424.

The previous prime is 2144341259. The next prime is 2144341333. The reversal of 2144341332 is 2331434412.

2144341332 is a `hidden beast` number, since 214 + 4 + 3 + 413 + 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 = 2144341296 and 2144341305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2144341333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74482 + ... + 99177.

Almost surely, 22144341332 is an apocalyptic number.

It is an amenable number.

2144341332 is an abundant number, since it is smaller than the sum of its proper divisors (4176882668).

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

2144341332 is a wasteful number, since it uses less digits than its factorization.

2144341332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173690 (or 173671 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2144341332 is about 46307.0332886917. The cubic root of 2144341332 is about 1289.5295706705.

Adding to 2144341332 its reverse (2331434412), we get a palindrome (4475775744).

The spelling of 2144341332 in words is "two billion, one hundred forty-four million, three hundred forty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 173659 347318 520977 694636 1041954 1215613 1562931 2083908 2431226 3125862 3646839 4862452 6251724 7293678 8509291 10940517 14587356 17018582 21881034 25527873 34037164 43762068 51055746 59565037 76583619 102111492 119130074 153167238 178695111 238260148 306334476 357390222 536085333 714780444 1072170666 2144341332