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201044320344 = 233275935991123
BaseRepresentation
bin1011101100111100101…
…1001110000001011000
3201012221010100122200200
42323033023032001120
511243214321222334
6232205233302200
720345031345510
oct2731713160130
9635833318620
10201044320344
117829830656a
1232b69404960
1315c5c7a64ca
149a32a88840
155369eac799
hex2ecf2ce058

201044320344 has 192 divisors, whose sum is σ = 624926016000. Its totient is φ = 57197657088.

The previous prime is 201044320343. The next prime is 201044320349. The reversal of 201044320344 is 443023440102.

It is a happy number.

201044320344 is a `hidden beast` number, since 2 + 0 + 10 + 443 + 203 + 4 + 4 = 666.

201044320344 is digitally balanced in base 2, 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 (201044320343) 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 47 ways as a sum of consecutive naturals, for example, 179023767 + ... + 179024889.

It is an arithmetic number, because the mean of its divisors is an integer number (3254823000).

Almost surely, 2201044320344 is an apocalyptic number.

201044320344 is a gapful number since it is divisible by the number (24) 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 201044320344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312463008000).

201044320344 is an abundant number, since it is smaller than the sum of its proper divisors (423881695656).

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

201044320344 is a wasteful number, since it uses less digits than its factorization.

201044320344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 201044320344 its reverse (443023440102), we get a palindrome (644067760446).

The spelling of 201044320344 in words is "two hundred one billion, forty-four million, three hundred twenty thousand, three hundred forty-four".