Search a number
-
+
132012342432 = 25332117011033
BaseRepresentation
bin111101011110010001…
…1000111110010100000
3110121202011111211111000
41322330203013302200
54130330124424212
6140351242352000
712352250252625
oct1727443076240
9417664454430
10132012342432
1150a93586853
12217027bb600
13c5aaa809b9
14656485834c
1536798631dc
hex1ebc8c7ca0

132012342432 has 192 divisors, whose sum is σ = 387787720320. Its totient is φ = 43690752000.

The previous prime is 132012342409. The next prime is 132012342443. The reversal of 132012342432 is 234243210231.

132012342432 is a `hidden beast` number, since 1 + 3 + 201 + 2 + 3 + 424 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 132012342396 and 132012342405.

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 31 ways as a sum of consecutive naturals, for example, 127794588 + ... + 127795620.

It is an arithmetic number, because the mean of its divisors is an integer number (2019727710).

Almost surely, 2132012342432 is an apocalyptic number.

132012342432 is a gapful number since it is divisible by the number (12) 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 132012342432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193893860160).

132012342432 is an abundant number, since it is smaller than the sum of its proper divisors (255775377888).

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

132012342432 is a wasteful number, since it uses less digits than its factorization.

132012342432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1950 counting only the distinct ones).

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

Adding to 132012342432 its reverse (234243210231), we get a palindrome (366255552663).

The spelling of 132012342432 in words is "one hundred thirty-two billion, twelve million, three hundred forty-two thousand, four hundred thirty-two".