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200441443132 = 22747449339223
BaseRepresentation
bin1011101010101100111…
…1011011001100111100
3201011101002221022122001
42322223033123030330
511241001002140012
6232025335432044
720324061104140
oct2725317331474
9634332838561
10200441443132
1178008a72a37
1232a1b525624
1315b94911128
1499b6993220
1553320c2357
hex2eab3db33c

200441443132 has 48 divisors (see below), whose sum is σ = 410325350400. Its totient is φ = 83888243712.

The previous prime is 200441443121. The next prime is 200441443151. The reversal of 200441443132 is 231344144002.

200441443132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 200441443132.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421273 + ... + 760495.

It is an arithmetic number, because the mean of its divisors is an integer number (8548444800).

Almost surely, 2200441443132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200441443132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205162675200).

200441443132 is an abundant number, since it is smaller than the sum of its proper divisors (209883907268).

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

200441443132 is a wasteful number, since it uses less digits than its factorization.

200441443132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339730 (or 339728 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 200441443132 its reverse (231344144002), we get a palindrome (431785587134).

The spelling of 200441443132 in words is "two hundred billion, four hundred forty-one million, four hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 47 94 188 329 449 658 898 1316 1796 3143 6286 12572 21103 42206 84412 147721 295442 339223 590884 678446 1356892 2374561 4749122 9498244 15943481 31886962 63773924 111604367 152311127 223208734 304622254 446417468 609244508 1066177889 2132355778 4264711556 7158622969 14317245938 28634491876 50110360783 100220721566 200441443132