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209143247040 = 263257134716979
BaseRepresentation
bin1100001011000111101…
…0001011000011000000
3201222211112220202111200
43002301322023003000
511411311132401130
6240025025341200
721052523160630
oct3026172130300
9658745822450
10209143247040
1180773a02012
1234649797800
1316950675720
14a1a05446c0
155690ee9760
hex30b1e8b0c0

209143247040 has 672 divisors, whose sum is σ = 904264058880. Its totient is φ = 43185512448.

The previous prime is 209143247039. The next prime is 209143247041. The reversal of 209143247040 is 40742341902.

209143247040 is a `hidden beast` number, since 2 + 0 + 9 + 143 + 2 + 470 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (209143247039) and next prime (209143247041).

It is a tau number, because it is divible by the number of its divisors (672).

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 = 209143246986 and 209143247004.

It is not an unprimeable number, because it can be changed into a prime (209143247041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12309271 + ... + 12326249.

It is an arithmetic number, because the mean of its divisors is an integer number (1345631040).

Almost surely, 2209143247040 is an apocalyptic number.

209143247040 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 209143247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452132029440).

209143247040 is an abundant number, since it is smaller than the sum of its proper divisors (695120811840).

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

209143247040 is a wasteful number, since it uses less digits than its factorization.

209143247040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17069 (or 17056 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 209143247040 its reverse (40742341902), we get a palindrome (249885588942).

The spelling of 209143247040 in words is "two hundred nine billion, one hundred forty-three million, two hundred forty-seven thousand, forty".