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200242042000 = 245371113293449
BaseRepresentation
bin1011101001111101011…
…0110001010010010000
3201010212012201200200221
42322133112301102100
511240043430321000
6231553453522424
720316120162550
oct2723726612220
9633765650627
10200242042000
1177a16459a10
12329847a3414
1315b625065b0
1499982c9160
15531e83561a
hex2e9f5b1490

200242042000 has 640 divisors, whose sum is σ = 672706944000. Its totient is φ = 55609344000.

The previous prime is 200242041959. The next prime is 200242042001. The reversal of 200242042000 is 240242002.

200242042000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2002420420003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (200242042001) 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 127 ways as a sum of consecutive naturals, for example, 58056276 + ... + 58059724.

It is an arithmetic number, because the mean of its divisors is an integer number (1051104600).

Almost surely, 2200242042000 is an apocalyptic number.

200242042000 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 200242042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336353472000).

200242042000 is an abundant number, since it is smaller than the sum of its proper divisors (472464902000).

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

200242042000 is a wasteful number, since it uses less digits than its factorization.

200242042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3532 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 200242042000 its reverse (240242002), we get a palindrome (200482284002).

The spelling of 200242042000 in words is "two hundred billion, two hundred forty-two million, forty-two thousand".