Search a number
-
+
132430723200 = 273752127149
BaseRepresentation
bin111101101010101111…
…1000111100010000000
3110122211022202210000000
41323111133013202000
54132204231120300
6140500550000000
712365520400626
oct1732537074200
9418738683000
10132430723200
1151188766486
12217ba946000
13c646659699
1465a4245516
1536a1457c00
hex1ed57c7880

132430723200 has 768 divisors, whose sum is σ = 497825280000. Its totient is φ = 34801643520.

The previous prime is 132430723157. The next prime is 132430723219. The reversal of 132430723200 is 2327034231.

132430723200 is a `hidden beast` number, since 1 + 3 + 2 + 430 + 7 + 23 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 888796726 + ... + 888796874.

It is an arithmetic number, because the mean of its divisors is an integer number (648210000).

Almost surely, 2132430723200 is an apocalyptic number.

132430723200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132430723200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248912640000).

132430723200 is an abundant number, since it is smaller than the sum of its proper divisors (365394556800).

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

132430723200 is an equidigital number, since it uses as much as digits as its factorization.

132430723200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

Adding to 132430723200 its reverse (2327034231), we get a palindrome (134757757431).

The spelling of 132430723200 in words is "one hundred thirty-two billion, four hundred thirty million, seven hundred twenty-three thousand, two hundred".