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20042343000 = 2333534361283
BaseRepresentation
bin10010101010100111…
…011110001001011000
31220201210012111221000
4102222213132021120
5312021314434000
613112440545000
71306445050611
oct225247361130
956653174830
1020042343000
11855541aa39
123a74182160
131b753b1a74
14d81b88c08
157c4832000
hex4aa9de258

20042343000 has 512 divisors, whose sum is σ = 72516787200. Its totient is φ = 5116608000.

The previous prime is 20042342989. The next prime is 20042343017. The reversal of 20042343000 is 34324002.

20042343000 is a `hidden beast` number, since 200 + 423 + 43 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 70820859 + ... + 70821141.

It is an arithmetic number, because the mean of its divisors is an integer number (141634350).

Almost surely, 220042343000 is an apocalyptic number.

20042343000 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 20042343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36258393600).

20042343000 is an abundant number, since it is smaller than the sum of its proper divisors (52474444200).

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

20042343000 is a wasteful number, since it uses less digits than its factorization.

20042343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 20042343000 its reverse (34324002), we get a palindrome (20076667002).

The spelling of 20042343000 in words is "twenty billion, forty-two million, three hundred forty-three thousand".