Search a number
-
+
144542066211 = 32171959842747
BaseRepresentation
bin1000011010011101100…
…0001110011000100011
3111211002101101202020200
42012213120032120203
54332010232104321
6150222434040243
713304613201564
oct2064730163043
9454071352220
10144542066211
1156333256774
122401aa19083
13108268a693a
146dd296816b
153b5e86dd26
hex21a760e623

144542066211 has 48 divisors (see below), whose sum is σ = 236643638400. Its totient is φ = 84463375104.

The previous prime is 144542066183. The next prime is 144542066281. The reversal of 144542066211 is 112660245441.

144542066211 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 4 + 20 + 6 + 621 + 1 = 666.

It is not a de Polignac number, because 144542066211 - 26 = 144542066147 is a prime.

It is not an unprimeable number, because it can be changed into a prime (144542066281) 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 47 ways as a sum of consecutive naturals, for example, 249861 + ... + 592886.

It is an arithmetic number, because the mean of its divisors is an integer number (4930075800).

Almost surely, 2144542066211 is an apocalyptic number.

144542066211 is a deficient number, since it is larger than the sum of its proper divisors (92101572189).

144542066211 is a wasteful number, since it uses less digits than its factorization.

144542066211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842848 (or 842845 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 144542066211 in words is "one hundred forty-four billion, five hundred forty-two million, sixty-six thousand, two hundred eleven".

Divisors: 1 3 9 17 19 51 57 59 153 171 177 323 531 969 1003 1121 2907 3009 3363 9027 10089 19057 57171 171513 842747 2528241 7584723 14326699 16012193 42980097 48036579 49722073 128940291 144109737 149166219 272207281 447498657 816621843 845275241 944719387 2449865529 2535825723 2834158161 7607477169 8502474483 16060229579 48180688737 144542066211