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243661703040 = 27335719971093
BaseRepresentation
bin1110001011101101011…
…1101000011110000000
3212021221012111000021000
43202323113220132000
512443004343444130
6303534151532000
723414110205610
oct3427327503600
9767835430230
10243661703040
11943777519a8
123b28198a000
1319c91ba6a12
14bb16b00a40
15651165a260
hex38bb5e8780

243661703040 has 1024 divisors, whose sum is σ = 1049819904000. Its totient is φ = 52171112448.

The previous prime is 243661702987. The next prime is 243661703053. The reversal of 243661703040 is 40307166342.

It is a happy number.

243661703040 is a `hidden beast` number, since 2 + 4 + 3 + 6 + 617 + 0 + 30 + 4 + 0 = 666.

243661703040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 243661702986 and 243661703004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 222928734 + ... + 222929826.

It is an arithmetic number, because the mean of its divisors is an integer number (1025214750).

Almost surely, 2243661703040 is an apocalyptic number.

243661703040 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 243661703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524909952000).

243661703040 is an abundant number, since it is smaller than the sum of its proper divisors (806158200960).

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

243661703040 is a wasteful number, since it uses less digits than its factorization.

243661703040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1226 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 243661703040 its reverse (40307166342), we get a palindrome (283968869382).

The spelling of 243661703040 in words is "two hundred forty-three billion, six hundred sixty-one million, seven hundred three thousand, forty".