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44114800141 is a prime number
BaseRepresentation
bin101001000101011100…
…100110111000001101
311012212102210001010201
4221011130212320031
51210321342101031
632133245133501
73121130420446
oct510534467015
9135772701121
1044114800141
1117788722315
128671b5a291
1342106ca149
1421c6c862cd
151232d86d61
hexa45726e0d

44114800141 has 2 divisors, whose sum is σ = 44114800142. Its totient is φ = 44114800140.

The previous prime is 44114800127. The next prime is 44114800207. The reversal of 44114800141 is 14100841144.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 33721813225 + 10392986916 = 183635^2 + 101946^2 .

It is a cyclic number.

It is not a de Polignac number, because 44114800141 - 235 = 9755061773 is a prime.

It is a super-2 number, since 2×441148001412 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (44114800111) 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, 22057400070 + 22057400071.

It is an arithmetic number, because the mean of its divisors is an integer number (22057400071).

Almost surely, 244114800141 is an apocalyptic number.

It is an amenable number.

44114800141 is a deficient number, since it is larger than the sum of its proper divisors (1).

44114800141 is an equidigital number, since it uses as much as digits as its factorization.

44114800141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2048, while the sum is 28.

The spelling of 44114800141 in words is "forty-four billion, one hundred fourteen million, eight hundred thousand, one hundred forty-one".