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2144405441225 = 5219139187117359
BaseRepresentation
bin11111001101001000100…
…001100100101011001001
321121000002022011022222002
4133031020201210223021
5240113220243104400
64321043134440345
7310633236334235
oct37151041445311
97530068138862
102144405441225
11757489a70143
122a77250630b5
131272a7a42c08
1475b0b2115c5
153abaa85eed5
hex1f348864ac9

2144405441225 has 48 divisors (see below), whose sum is σ = 2820819456000. Its totient is φ = 1612585972800.

The previous prime is 2144405441207. The next prime is 2144405441251. The reversal of 2144405441225 is 5221445044412.

It is not a de Polignac number, because 2144405441225 - 216 = 2144405375689 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123524096 + ... + 123541454.

It is an arithmetic number, because the mean of its divisors is an integer number (58767072000).

Almost surely, 22144405441225 is an apocalyptic number.

2144405441225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2144405441225 is a deficient number, since it is larger than the sum of its proper divisors (676414014775).

2144405441225 is a wasteful number, since it uses less digits than its factorization.

2144405441225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19398 (or 19393 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 38.

The spelling of 2144405441225 in words is "two trillion, one hundred forty-four billion, four hundred five million, four hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 19 25 95 139 475 695 1871 2641 3475 9355 13205 17359 35549 46775 66025 86795 177745 260069 329821 433975 888725 1300345 1649105 2412901 4941311 6501725 8245525 12064505 24706555 32478689 45845119 60322525 123532775 162393445 229225595 617095091 811967225 1146127975 3085475455 4514537771 15427377275 22572688855 85776217649 112863444275 428881088245 2144405441225