Search a number
-
+
981344141124341 is a prime number
BaseRepresentation
bin1101111100100001101111110…
…0111011110010001011110101
311202200122120202111100200120112
43133020123330323302023311
52012111320300111434331
613355051135202312405
7413463526435212011
oct33710337473621365
94680576674320515
10981344141124341
11264760793091845
129209309b358705
1333176480b54067
141344944a37d541
15786c02e6c232b
hex37c86fcef22f5

981344141124341 has 2 divisors, whose sum is σ = 981344141124342. Its totient is φ = 981344141124340.

The previous prime is 981344141124199. The next prime is 981344141124397. The reversal of 981344141124341 is 143421141443189.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 935776916001841 + 45567225122500 = 30590471^2 + 6750350^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-981344141124341 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 981344141124341.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (981344141124541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 490672070562170 + 490672070562171.

It is an arithmetic number, because the mean of its divisors is an integer number (490672070562171).

Almost surely, 2981344141124341 is an apocalyptic number.

It is an amenable number.

981344141124341 is a deficient number, since it is larger than the sum of its proper divisors (1).

981344141124341 is an equidigital number, since it uses as much as digits as its factorization.

981344141124341 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1327104, while the sum is 50.

The spelling of 981344141124341 in words is "nine hundred eighty-one trillion, three hundred forty-four billion, one hundred forty-one million, one hundred twenty-four thousand, three hundred forty-one".