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144100033040401 is a prime number
BaseRepresentation
bin100000110000111011100111…
…010010000001000000010001
3200220012211101001202012200121
4200300323213102001000101
5122341413331424243101
61230250350304150241
742231612103101334
oct4060734722010021
9626184331665617
10144100033040401
1141a07531a75729
12141b3675608381
136253761b166a9
14278269bc0c61b
15119d58c55b0a1
hex830ee7481011

144100033040401 has 2 divisors, whose sum is σ = 144100033040402. Its totient is φ = 144100033040400.

The previous prime is 144100033040387. The next prime is 144100033040429. The reversal of 144100033040401 is 104040330001441.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 118922318332801 + 25177714707600 = 10905151^2 + 5017740^2 .

It is an emirp because it is prime and its reverse (104040330001441) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 144100033040401 - 227 = 144099898822673 is a prime.

It is not a weakly prime, because it can be changed into another prime (144100033040441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72050016520200 + 72050016520201.

It is an arithmetic number, because the mean of its divisors is an integer number (72050016520201).

Almost surely, 2144100033040401 is an apocalyptic number.

It is an amenable number.

144100033040401 is a deficient number, since it is larger than the sum of its proper divisors (1).

144100033040401 is an equidigital number, since it uses as much as digits as its factorization.

144100033040401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144100033040401 its reverse (104040330001441), we get a palindrome (248140363041842).

The spelling of 144100033040401 in words is "one hundred forty-four trillion, one hundred billion, thirty-three million, forty thousand, four hundred one".