Search a number
-
+
132153303116424 = 23331102117704231
BaseRepresentation
bin11110000011000101010110…
…101100000010101010001000
3122022220201202220201100111210
4132003011112230002222020
5114310144431044211144
61145022220032453120
736556522022203032
oct3603052654025210
9568821686640453
10132153303116424
11391209a041a447
12129a42419aa1a0
1358980067cc665
14248c37ad8ac52
151042926121ab9
hex783156b02a88

132153303116424 has 32 divisors (see below), whose sum is σ = 330384338706240. Its totient is φ = 44050956916800.

The previous prime is 132153303116353. The next prime is 132153303116447. The reversal of 132153303116424 is 424611303351231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1387612 + ... + 16316619.

It is an arithmetic number, because the mean of its divisors is an integer number (10324510584570).

Almost surely, 2132153303116424 is an apocalyptic number.

It is an amenable number.

132153303116424 is an abundant number, since it is smaller than the sum of its proper divisors (198231035589816).

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

132153303116424 is a wasteful number, since it uses less digits than its factorization.

132153303116424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18015261 (or 18015257 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

Adding to 132153303116424 its reverse (424611303351231), we get a palindrome (556764606467655).

The spelling of 132153303116424 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, three hundred three million, one hundred sixteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 311021 622042 933063 1244084 1866126 2488168 3732252 7464504 17704231 35408462 53112693 70816924 106225386 141633848 212450772 424901544 5506387629851 11012775259702 16519162889553 22025550519404 33038325779106 44051101038808 66076651558212 132153303116424