Search a number
-
+
132041234000 = 24531329374733
BaseRepresentation
bin111101011111001000…
…1010101011001010000
3110121211011212200021002
41322332101111121100
54130410023442000
6140354153521132
712353050653614
oct1727621253120
9417734780232
10132041234000
1150aa891a485
12217104131a8
13c5b3a582c0
146568619344
15367c16d8d5
hex1ebe455650

132041234000 has 320 divisors, whose sum is σ = 365382239040. Its totient is φ = 45790617600.

The previous prime is 132041233997. The next prime is 132041234033. The reversal of 132041234000 is 432140231.

It can be written as a sum of positive squares in 32 ways, for example, as 131722540096 + 318693904 = 362936^2 + 17852^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 27895634 + ... + 27900366.

It is an arithmetic number, because the mean of its divisors is an integer number (1141819497).

Almost surely, 2132041234000 is an apocalyptic number.

132041234000 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 132041234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182691119520).

132041234000 is an abundant number, since it is smaller than the sum of its proper divisors (233341005040).

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

132041234000 is a wasteful number, since it uses less digits than its factorization.

132041234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4835 (or 4819 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 132041234000 its reverse (432140231), we get a palindrome (132473374231).

The spelling of 132041234000 in words is "one hundred thirty-two billion, forty-one million, two hundred thirty-four thousand".