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231243071045760 = 2735510916383689
BaseRepresentation
bin110100100101000001111001…
…000110110100000010000000
31010022202121210012210202100000
4310211001321012310002000
5220302141302141431020
62135451333355200000
766464521604404044
oct6445017106640200
91108677705722300
10231243071045760
11677546aa124684
1221b28558746000
139c05188396407
14411631d8c4024
151bb0269e65090
hexd250791b4080

231243071045760 has 768 divisors, whose sum is σ = 840819771792000. Its totient is φ = 60723520045056.

The previous prime is 231243071045713. The next prime is 231243071045809. The reversal of 231243071045760 is 67540170342132.

It is a happy number.

231243071045760 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 4 + 3 + 0 + 71 + 0 + 4 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2763081996 + ... + 2763165684.

Almost surely, 2231243071045760 is an apocalyptic number.

231243071045760 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 231243071045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420409885896000).

231243071045760 is an abundant number, since it is smaller than the sum of its proper divisors (609576700746240).

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

231243071045760 is a wasteful number, since it uses less digits than its factorization.

231243071045760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83995 (or 83971 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 231243071045760 in words is "two hundred thirty-one trillion, two hundred forty-three billion, seventy-one million, forty-five thousand, seven hundred sixty".