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132340320414 = 232311132098841
BaseRepresentation
bin111101101000000011…
…0010000100010011110
3110122121000122211200200
41323100012100202132
54132013110223124
6140444000204330
712363342106641
oct1732006204236
9418530584620
10132340320414
115114172a535
12217946096a6
13c6309c6303
146596231a58
15369854bbc9
hex1ed019089e

132340320414 has 48 divisors (see below), whose sum is σ = 298606449024. Its totient is φ = 42312614400.

The previous prime is 132340320397. The next prime is 132340320433. The reversal of 132340320414 is 414023043231.

132340320414 is a `hidden beast` number, since 1 + 323 + 4 + 0 + 320 + 4 + 14 = 666.

132340320414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 986367 + ... + 1112474.

It is an arithmetic number, because the mean of its divisors is an integer number (6220967688).

Almost surely, 2132340320414 is an apocalyptic number.

132340320414 is an abundant number, since it is smaller than the sum of its proper divisors (166266128610).

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

132340320414 is a wasteful number, since it uses less digits than its factorization.

132340320414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2098993 (or 2098990 counting only the distinct ones).

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

Adding to 132340320414 its reverse (414023043231), we get a palindrome (546363363645).

The spelling of 132340320414 in words is "one hundred thirty-two billion, three hundred forty million, three hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 31 62 93 113 186 226 279 339 558 678 1017 2034 3503 7006 10509 21018 31527 63054 2098841 4197682 6296523 12593046 18889569 37779138 65064071 130128142 195192213 237169033 390384426 474338066 585576639 711507099 1171153278 1423014198 2134521297 4269042594 7352240023 14704480046 22056720069 44113440138 66170160207 132340320414