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201444152140193 is a prime number
BaseRepresentation
bin101101110011011001011111…
…001000010110000110100001
3222102020212120022122222002212
4231303121133020112012201
5202400430110421441233
61552234055501451505
760300600611054414
oct5563313710260641
9872225508588085
10201444152140193
1159205a92276aa6
121a715286b70b95
138853143237aa1
1437a5d40035b7b
1518450584aea48
hexb7365f2161a1

201444152140193 has 2 divisors, whose sum is σ = 201444152140194. Its totient is φ = 201444152140192.

The previous prime is 201444152140181. The next prime is 201444152140211. The reversal of 201444152140193 is 391041251444102.

201444152140193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115895193604369 + 85548958535824 = 10765463^2 + 9249268^2 .

It is a cyclic number.

It is not a de Polignac number, because 201444152140193 - 210 = 201444152139169 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 201444152140193.

It is not a weakly prime, because it can be changed into another prime (201444152140163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100722076070096 + 100722076070097.

It is an arithmetic number, because the mean of its divisors is an integer number (100722076070097).

Almost surely, 2201444152140193 is an apocalyptic number.

It is an amenable number.

201444152140193 is a deficient number, since it is larger than the sum of its proper divisors (1).

201444152140193 is an equidigital number, since it uses as much as digits as its factorization.

201444152140193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 201444152140193 in words is "two hundred one trillion, four hundred forty-four billion, one hundred fifty-two million, one hundred forty thousand, one hundred ninety-three".