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144034001201141 is a prime number
BaseRepresentation
bin100000101111111110000111…
…011110100010011111110101
3200212222111221012012020000022
4200233332013132202133311
5122334323113301414031
61230200150124454525
742224053551526412
oct4057760736423765
9625874835166008
10144034001201141
11419915277a0547
12141a29076aa445
13624a46a82355c
14277d3d621d109
15119b9c54d197b
hex82ff877a27f5

144034001201141 has 2 divisors, whose sum is σ = 144034001201142. Its totient is φ = 144034001201140.

The previous prime is 144034001201047. The next prime is 144034001201159. The reversal of 144034001201141 is 141102100430441.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138734240102500 + 5299761098641 = 11778550^2 + 2302121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144034001201141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144034001201141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144034001201341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72017000600570 + 72017000600571.

It is an arithmetic number, because the mean of its divisors is an integer number (72017000600571).

Almost surely, 2144034001201141 is an apocalyptic number.

It is an amenable number.

144034001201141 is a deficient number, since it is larger than the sum of its proper divisors (1).

144034001201141 is an equidigital number, since it uses as much as digits as its factorization.

144034001201141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 144034001201141 its reverse (141102100430441), we get a palindrome (285136101631582).

The spelling of 144034001201141 in words is "one hundred forty-four trillion, thirty-four billion, one million, two hundred one thousand, one hundred forty-one".