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132011433144 = 23322379717049
BaseRepresentation
bin111101011110001111…
…1101001110010111000
3110121202002210122011200
41322330133221302320
54130324411330034
6140351211054200
712352236444633
oct1727437516270
9417662718150
10132011433144
1150a93015678
1221702441360
13c5aa822b66
14656469cc1a
153679733a99
hex1ebc7e9cb8

132011433144 has 48 divisors (see below), whose sum is σ = 373075794000. Its totient is φ = 42090601344.

The previous prime is 132011433143. The next prime is 132011433149. The reversal of 132011433144 is 441334110231.

132011433144 is a `hidden beast` number, since 1 + 3 + 201 + 143 + 314 + 4 = 666.

132011433144 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 not an unprimeable number, because it can be changed into a prime (132011433143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39856869 + ... + 39860180.

It is an arithmetic number, because the mean of its divisors is an integer number (7772412375).

Almost surely, 2132011433144 is an apocalyptic number.

It is an amenable number.

132011433144 is an abundant number, since it is smaller than the sum of its proper divisors (241064360856).

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

132011433144 is a wasteful number, since it uses less digits than its factorization.

132011433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79717084 (or 79717077 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 132011433144 its reverse (441334110231), we get a palindrome (573345543375).

The spelling of 132011433144 in words is "one hundred thirty-two billion, eleven million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 184 207 276 414 552 828 1656 79717049 159434098 239151147 318868196 478302294 637736392 717453441 956604588 1434906882 1833492127 1913209176 2869813764 3666984254 5500476381 5739627528 7333968508 11000952762 14667937016 16501429143 22001905524 33002858286 44003811048 66005716572 132011433144