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4243280823424 = 27100932854937
BaseRepresentation
bin111101101111110111001…
…111110000010010000000
3120000122122112111000120201
4331233313033300102000
51024010214342322144
613005200350214544
7615365311613566
oct75576717602200
916018575430521
104243280823424
111396624448025
125864621b4454
1324a1a7ac6aa6
14109539615a36
157559de7c1d4
hex3dbf73f0480

4243280823424 has 32 divisors (see below), whose sum is σ = 8461789281900. Its totient is φ = 2119537631232.

The previous prime is 4243280823421. The next prime is 4243280823427.

It is a happy number.

4243280823424 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4243280823421) and next prime (4243280823427).

It can be written as a sum of positive squares in 2 ways, for example, as 3905682638400 + 337598185024 = 1976280^2 + 581032^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×42432808234243 (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4243280823421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16298317 + ... + 16556620.

Almost surely, 24243280823424 is an apocalyptic number.

It is an amenable number.

4243280823424 is a deficient number, since it is larger than the sum of its proper divisors (4218508458476).

4243280823424 is a wasteful number, since it uses less digits than its factorization.

4243280823424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32855960 (or 32855948 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

The spelling of 4243280823424 in words is "four trillion, two hundred forty-three billion, two hundred eighty million, eight hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 1009 2018 4036 8072 16144 32288 64576 129152 32854937 65709874 131419748 262839496 525678992 1051357984 2102715968 4205431936 33150631433 66301262866 132602525732 265205051464 530410102928 1060820205856 2121640411712 4243280823424