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132341321134440 = 23325114110374310651
BaseRepresentation
bin11110000101110100011101…
…011011110111000101101000
3122100120201002012210021201200
4132011310131123313011220
5114321240011202300230
61145244432535244200
736606226211035665
oct3605643533670550
9570521065707650
10132341321134440
11391937037161a0
1212a14774819660
1358ac96b625262
1424974d59c0a6c
15104777c6d4160
hex785d1d6f7168

132341321134440 has 768 divisors, whose sum is σ = 486019652751360. Its totient is φ = 30951728640000.

The previous prime is 132341321134439. The next prime is 132341321134447. The reversal of 132341321134440 is 44431123143231.

132341321134440 is a `hidden beast` number, since 1 + 3 + 23 + 41 + 3 + 21 + 134 + 440 = 666.

It is a super-2 number, since 2×1323413211344402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132341321134395 and 132341321134404.

It is not an unprimeable number, because it can be changed into a prime (132341321134447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12425243115 + ... + 12425253765.

It is an arithmetic number, because the mean of its divisors is an integer number (632838089520).

Almost surely, 2132341321134440 is an apocalyptic number.

132341321134440 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 132341321134440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243009826375680).

132341321134440 is an abundant number, since it is smaller than the sum of its proper divisors (353678331616920).

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

132341321134440 is a wasteful number, since it uses less digits than its factorization.

132341321134440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11559 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

Adding to 132341321134440 its reverse (44431123143231), we get a palindrome (176772444277671).

The spelling of 132341321134440 in words is "one hundred thirty-two trillion, three hundred forty-one billion, three hundred twenty-one million, one hundred thirty-four thousand, four hundred forty".