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140132431344240 = 243251754720930033
BaseRepresentation
bin11111110111001100011111…
…110010101011001001110000
3200101011112022002011212111200
4133313030133302223021300
5121331412204411003430
61214011541130211200
741342143166114436
oct3767143762531160
9611145262155450
10140132431344240
1140717915281285
121387272b883b00
13602657c22695a
142686635654d56
151130275a18460
hex7f731fcab270

140132431344240 has 240 divisors, whose sum is σ = 499205422299168. Its totient is φ = 35106193833984.

The previous prime is 140132431344203. The next prime is 140132431344251. The reversal of 140132431344240 is 42443134231041.

140132431344240 is a `hidden beast` number, since 1 + 4 + 0 + 1 + 32 + 43 + 1 + 344 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140132431344195 and 140132431344204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3769737 + ... + 17160296.

Almost surely, 2140132431344240 is an apocalyptic number.

140132431344240 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 140132431344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249602711149584).

140132431344240 is an abundant number, since it is smaller than the sum of its proper divisors (359072990954928).

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

140132431344240 is a wasteful number, since it uses less digits than its factorization.

140132431344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20930616 (or 20930607 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140132431344240 its reverse (42443134231041), we get a palindrome (182575565575281).

The spelling of 140132431344240 in words is "one hundred forty trillion, one hundred thirty-two billion, four hundred thirty-one million, three hundred forty-four thousand, two hundred forty".