Search a number
-
+
132132322314324 = 223229126563527121
BaseRepresentation
bin11110000010110001110100…
…001000101000100001010100
3122022211201121201122011201100
4132002301310020220201110
5114304323444003024244
61145004430105230100
736555150060263553
oct3602616410504124
9568751551564640
10132132322314324
113911300429a282
12129a0167492330
135896041b79b67
14248b34a713d9a
1510420e9217b69
hex782c74228854

132132322314324 has 36 divisors (see below), whose sum is σ = 345518429043060. Its totient is φ = 42525345112320.

The previous prime is 132132322314319. The next prime is 132132322314331. The reversal of 132132322314324 is 423413223231231.

It is a happy number.

132132322314324 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 3 + 2 + 322 + 3 + 1 + 4 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28541045433924 + 103591276880400 = 5342382^2 + 10177980^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63281762517 + ... + 63281764604.

It is an arithmetic number, because the mean of its divisors is an integer number (9597734140085).

Almost surely, 2132132322314324 is an apocalyptic number.

It is an amenable number.

132132322314324 is an abundant number, since it is smaller than the sum of its proper divisors (213386106728736).

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

132132322314324 is a wasteful number, since it uses less digits than its factorization.

132132322314324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126563527160 (or 126563527155 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 132132322314324 its reverse (423413223231231), we get a palindrome (555545545545555).

The spelling of 132132322314324 in words is "one hundred thirty-two trillion, one hundred thirty-two billion, three hundred twenty-two million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 126563527121 253127054242 379690581363 506254108484 759381162726 1139071744089 1518762325452 2278143488178 3670342286509 4556286976356 7340684573018 11011026859527 14681369146036 22022053719054 33033080578581 44044107438108 66066161157162 132132322314324