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243081642240 = 2832553398129
BaseRepresentation
bin1110001001100011001…
…0111000000100000000
3212020102202222212102200
43202120302320010000
512440312400022430
6303400431113200
723363534603343
oct3423062700400
9766382885380
10243081642240
11940aa282708
123b13b672800
1319bcb96c988
14ba9da6845a
1564ca77a460
hex3898cb8100

243081642240 has 216 divisors, whose sum is σ = 856907939160. Its totient is φ = 63598559232.

The previous prime is 243081642229. The next prime is 243081642241. The reversal of 243081642240 is 42246180342.

243081642240 is a `hidden beast` number, since 2 + 4 + 3 + 0 + 8 + 1 + 642 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 93665378304 + 149416263936 = 306048^2 + 386544^2 .

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 = 243081642195 and 243081642204.

It is not an unprimeable number, because it can be changed into a prime (243081642241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 411496 + ... + 809624.

It is an arithmetic number, because the mean of its divisors is an integer number (3967166385).

Almost surely, 2243081642240 is an apocalyptic number.

243081642240 is a gapful number since it is divisible by the number (20) 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 243081642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428453969580).

243081642240 is an abundant number, since it is smaller than the sum of its proper divisors (613826296920).

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

243081642240 is a wasteful number, since it uses less digits than its factorization.

243081642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398209 (or 398192 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 243081642240 in words is "two hundred forty-three billion, eighty-one million, six hundred forty-two thousand, two hundred forty".