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144440634162269 is a prime number
BaseRepresentation
bin100000110101111000110100…
…101100001011110001011101
3200221102101112010211221010002
4200311320310230023301131
5122413003404321143034
61231111040012224045
742265330364625464
oct4065706454136135
9627371463757102
10144440634162269
1142028a244747a5
121424969016b025
1362799023c6c63
142794d6d2b79db
1511a7374391e7e
hex835e34b0bc5d

144440634162269 has 2 divisors, whose sum is σ = 144440634162270. Its totient is φ = 144440634162268.

The previous prime is 144440634162259. The next prime is 144440634162271. The reversal of 144440634162269 is 962261436044441.

144440634162269 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109547831580100 + 34892802582169 = 10466510^2 + 5907013^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144440634162269 is a prime.

It is a super-3 number, since 3×1444406341622693 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 144440634162271, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144440634162239) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72220317081134 + 72220317081135.

It is an arithmetic number, because the mean of its divisors is an integer number (72220317081135).

Almost surely, 2144440634162269 is an apocalyptic number.

It is an amenable number.

144440634162269 is a deficient number, since it is larger than the sum of its proper divisors (1).

144440634162269 is an equidigital number, since it uses as much as digits as its factorization.

144440634162269 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 23887872, while the sum is 56.

The spelling of 144440634162269 in words is "one hundred forty-four trillion, four hundred forty billion, six hundred thirty-four million, one hundred sixty-two thousand, two hundred sixty-nine".