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201322040440 = 2358216130391
BaseRepresentation
bin1011101101111110111…
…0101000110001111000
3201020122110221022001011
42323133232220301320
511244301420243230
6232252554003304
720354643052213
oct2733756506170
9636573838034
10201322040440
1178420052804
1233026416534
1315ca51a3221
149a5b8dc77a
155384569e2a
hex2edfba8c78

201322040440 has 32 divisors (see below), whose sum is σ = 453526400160. Its totient is φ = 80430716800.

The previous prime is 201322040419. The next prime is 201322040449. The reversal of 201322040440 is 44040223102.

It is a happy number.

201322040440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201322040449) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3032356 + ... + 3098035.

It is an arithmetic number, because the mean of its divisors is an integer number (14172700005).

Almost surely, 2201322040440 is an apocalyptic number.

201322040440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201322040440 is an abundant number, since it is smaller than the sum of its proper divisors (252204359720).

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

201322040440 is a wasteful number, since it uses less digits than its factorization.

201322040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131223 (or 6131219 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 201322040440 its reverse (44040223102), we get a palindrome (245362263542).

The spelling of 201322040440 in words is "two hundred one billion, three hundred twenty-two million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 821 1642 3284 4105 6568 8210 16420 32840 6130391 12260782 24521564 30651955 49043128 61303910 122607820 245215640 5033051011 10066102022 20132204044 25165255055 40264408088 50330510110 100661020220 201322040440