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132265344000 = 2103533141271
BaseRepresentation
bin111101100101110100…
…0001111110000000000
3110122101210120122101110
41323023220033300000
54131334412002000
6140432321203320
712361441605546
oct1731350176000
9418353518343
10132265344000
115110337a659
1221773490540
13c61b30467a
14658a2b5d96
153691b8b850
hex1ecba0fc00

132265344000 has 704 divisors, whose sum is σ = 466950242304. Its totient is φ = 33177600000.

The previous prime is 132265343993. The next prime is 132265344011. The reversal of 132265344000 is 443562231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488063865 + ... + 488064135.

Almost surely, 2132265344000 is an apocalyptic number.

132265344000 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 132265344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233475121152).

132265344000 is an abundant number, since it is smaller than the sum of its proper divisors (334684898304).

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

132265344000 is a wasteful number, since it uses less digits than its factorization.

132265344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 132265344000 in words is "one hundred thirty-two billion, two hundred sixty-five million, three hundred forty-four thousand".