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132429841140 = 2235231932931697
BaseRepresentation
bin111101101010101101…
…1110000001011110100
3110122211021002222001010
41323111123300023310
54132204014404030
6140500515032220
712365510035212
oct1732533601364
9418737088033
10132429841140
1151188213803
12217ba59b670
13c64640b05c
1465a4095cb2
1536a13316b0
hex1ed56f02f4

132429841140 has 192 divisors, whose sum is σ = 390487620096. Its totient is φ = 33469759488.

The previous prime is 132429841133. The next prime is 132429841151. The reversal of 132429841140 is 41148924231.

132429841140 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 63 ways as a sum of consecutive naturals, for example, 78036772 + ... + 78038468.

It is an arithmetic number, because the mean of its divisors is an integer number (2033789688).

Almost surely, 2132429841140 is an apocalyptic number.

132429841140 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 132429841140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195243810048).

132429841140 is an abundant number, since it is smaller than the sum of its proper divisors (258057778956).

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

132429841140 is a wasteful number, since it uses less digits than its factorization.

132429841140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2218 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 132429841140 in words is "one hundred thirty-two billion, four hundred twenty-nine million, eight hundred forty-one thousand, one hundred forty".