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132404224000 = 21353314397
BaseRepresentation
bin111101101001111101…
…0000010000000000000
3110122202110220110221011
41323103322002000000
54132130440132000
6140454202010304
712365046222526
oct1732372020000
9418673813834
10132404224000
1151174807214
12217b1aa6994
13c64100bc99
1465a0908316
15369de712ba
hex1ed3e82000

132404224000 has 448 divisors, whose sum is σ = 352652332032. Its totient is φ = 49545216000.

The previous prime is 132404223961. The next prime is 132404224019. The reversal of 132404224000 is 422404231.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364991952 + ... + 1364992048.

It is an arithmetic number, because the mean of its divisors is an integer number (787170384).

Almost surely, 2132404224000 is an apocalyptic number.

132404224000 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 132404224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176326166016).

132404224000 is an abundant number, since it is smaller than the sum of its proper divisors (220248108032).

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

132404224000 is an frugal number, since it uses more digits than its factorization.

132404224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 132404224000 its reverse (422404231), we get a palindrome (132826628231).

The spelling of 132404224000 in words is "one hundred thirty-two billion, four hundred four million, two hundred twenty-four thousand".