Search a number
-
+
32144203143 = 321317149108463
BaseRepresentation
bin11101111011111100…
…011001110110000111
310001222011222201010100
4131323330121312013
51011312404000033
622433345455143
72215364134653
oct357374316607
9101864881110
1032144203143
11126a5623648
1262910414b3
13305368b960
1417ad11da63
15c81ec3513
hex77bf19d87

32144203143 has 48 divisors (see below), whose sum is σ = 53299209600. Its totient is φ = 18492337152.

The previous prime is 32144203103. The next prime is 32144203153. The reversal of 32144203143 is 34130244123.

32144203143 is a `hidden beast` number, since 321 + 4 + 4 + 20 + 314 + 3 = 666.

It is not a de Polignac number, because 32144203143 - 220 = 32143154567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32144203103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 242130 + ... + 350592.

It is an arithmetic number, because the mean of its divisors is an integer number (1110400200).

Almost surely, 232144203143 is an apocalyptic number.

32144203143 is a deficient number, since it is larger than the sum of its proper divisors (21155006457).

32144203143 is a wasteful number, since it uses less digits than its factorization.

32144203143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108648 (or 108645 counting only the distinct ones).

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

Adding to 32144203143 its reverse (34130244123), we get a palindrome (66274447266).

The spelling of 32144203143 in words is "thirty-two billion, one hundred forty-four million, two hundred three thousand, one hundred forty-three".

Divisors: 1 3 9 13 17 39 51 117 149 153 221 447 663 1341 1937 1989 2533 5811 7599 17433 22797 32929 98787 108463 296361 325389 976167 1410019 1843871 4230057 5531613 12690171 16160987 16594839 23970323 48482961 71910969 145448883 210092831 215732907 274736779 630278493 824210337 1890835479 2472631011 3571578127 10714734381 32144203143