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20301443040 = 2535294013637
BaseRepresentation
bin10010111010000011…
…110110111111100000
31221101211202011100210
4102322003312333200
5313034132134130
613154254214120
71316042263404
oct227203667740
957354664323
1020301443040
1186786a96aa
123b26ab4340
131bb6c8c4b8
14da8353104
157dc4625b0
hex4ba0f6fe0

20301443040 has 192 divisors, whose sum is σ = 66337911360. Its totient is φ = 5212569600.

The previous prime is 20301442999. The next prime is 20301443077. The reversal of 20301443040 is 4034410302.

It is a super-3 number, since 3×203014430403 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20301442998 and 20301443016.

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 31 ways as a sum of consecutive naturals, for example, 5580102 + ... + 5583738.

It is an arithmetic number, because the mean of its divisors is an integer number (345509955).

Almost surely, 220301443040 is an apocalyptic number.

20301443040 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 20301443040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33168955680).

20301443040 is an abundant number, since it is smaller than the sum of its proper divisors (46036468320).

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

20301443040 is a wasteful number, since it uses less digits than its factorization.

20301443040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20301443040 its reverse (4034410302), we get a palindrome (24335853342).

The spelling of 20301443040 in words is "twenty billion, three hundred one million, four hundred forty-three thousand, forty".