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140243303143440 = 24345723795093343
BaseRepresentation
bin11111111000110011110000…
…010001000001100000010000
3200101120010110221000211120000
4133320303300101001200100
5121340221241101042230
61214134514541450000
741353146534630510
oct3770636021014020
9611503427024500
10140243303143440
114075a93a541aa2
1213890112570900
136033b6b225173
14268bb52533840
1511330b441bb60
hex7f8cf0441810

140243303143440 has 1600 divisors, whose sum is σ = 589557237350400. Its totient is φ = 30205249671168.

The previous prime is 140243303143297. The next prime is 140243303143441. The reversal of 140243303143440 is 44341303342041.

140243303143440 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 4 + 3 + 303 + 1 + 4 + 344 + 0 = 666.

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 = 140243303143395 and 140243303143404.

It is not an unprimeable number, because it can be changed into a prime (140243303143441) by changing a digit.

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 319 ways as a sum of consecutive naturals, for example, 41951330409 + ... + 41951333751.

It is an arithmetic number, because the mean of its divisors is an integer number (368473273344).

Almost surely, 2140243303143440 is an apocalyptic number.

140243303143440 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 140243303143440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294778618675200).

140243303143440 is an abundant number, since it is smaller than the sum of its proper divisors (449313934206960).

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

140243303143440 is a wasteful number, since it uses less digits than its factorization.

140243303143440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3971 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 140243303143440 its reverse (44341303342041), we get a palindrome (184584606485481).

The spelling of 140243303143440 in words is "one hundred forty trillion, two hundred forty-three billion, three hundred three million, one hundred forty-three thousand, four hundred forty".