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132194024840 = 23530809107269
BaseRepresentation
bin111101100011101100…
…0001011110110001000
3110122012211101020220002
41323013120023312020
54131213132243330
6140421252422132
712356614446143
oct1730730136610
9418184336802
10132194024840
11510770984a9
1221753617948
13c6095c3597
146580a2d05a
15368a79ee45
hex1ec760bd88

132194024840 has 32 divisors (see below), whose sum is σ = 297448983000. Its totient is φ = 52875400704.

The previous prime is 132194024771. The next prime is 132194024843. The reversal of 132194024840 is 48420491231.

132194024840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 85512965476 + 46681059364 = 292426^2 + 216058^2 .

It is a junction number, because it is equal to n+sod(n) for n = 132194024794 and 132194024803.

It is not an unprimeable number, because it can be changed into a prime (132194024843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1178726 + ... + 1285994.

Almost surely, 2132194024840 is an apocalyptic number.

132194024840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132194024840 is an abundant number, since it is smaller than the sum of its proper divisors (165254958160).

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

132194024840 is a wasteful number, since it uses less digits than its factorization.

132194024840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138089 (or 138085 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The spelling of 132194024840 in words is "one hundred thirty-two billion, one hundred ninety-four million, twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 30809 61618 107269 123236 154045 214538 246472 308090 429076 536345 616180 858152 1072690 1232360 2145380 4290760 3304850621 6609701242 13219402484 16524253105 26438804968 33048506210 66097012420 132194024840