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132384026940 = 2235111019192161
BaseRepresentation
bin111101101001010110…
…0111111000100111100
3110122201001220100202220
41323102230333010330
54132110302330230
6140452201045340
712364412443134
oct1732254770474
9418631810686
10132384026940
1151164371930
12217a7186850
13c639a89c69
14659bd6bac4
15369c2d1d10
hex1ed2b3f13c

132384026940 has 192 divisors, whose sum is σ = 409010273280. Its totient is φ = 31726080000.

The previous prime is 132384026939. The next prime is 132384026969. The reversal of 132384026940 is 49620483231.

It is a junction number, because it is equal to n+sod(n) for n = 132384026892 and 132384026901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61259460 + ... + 61261620.

It is an arithmetic number, because the mean of its divisors is an integer number (2130261840).

Almost surely, 2132384026940 is an apocalyptic number.

132384026940 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 132384026940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204505136640).

132384026940 is an abundant number, since it is smaller than the sum of its proper divisors (276626246340).

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

132384026940 is a wasteful number, since it uses less digits than its factorization.

132384026940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 132384026940 in words is "one hundred thirty-two billion, three hundred eighty-four million, twenty-six thousand, nine hundred forty".