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4243240512 = 263371937499
BaseRepresentation
bin1111110011101010…
…1011011001000000
3101221201101221201000
43330322223121000
532142232144022
61541015212000
7210102643410
oct37472533100
911851357630
104243240512
111888220445
129a5077000
13528138504
142c3790640
1519c7c16ac
hexfceab640

4243240512 has 448 divisors, whose sum is σ = 15443200000. Its totient is φ = 1115265024.

The previous prime is 4243240499. The next prime is 4243240517. The reversal of 4243240512 is 2150423424.

4243240512 is a `hidden beast` number, since 4 + 243 + 2 + 405 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4243240517) 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 in 63 ways as a sum of consecutive naturals, for example, 8503239 + ... + 8503737.

Almost surely, 24243240512 is an apocalyptic number.

4243240512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4243240512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7721600000).

4243240512 is an abundant number, since it is smaller than the sum of its proper divisors (11199959488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4243240512 is a wasteful number, since it uses less digits than its factorization.

4243240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4243240512 is about 65140.1605156143. The cubic root of 4243240512 is about 1618.9466952748.

Adding to 4243240512 its reverse (2150423424), we get a palindrome (6393663936).

It can be divided in two parts, 42432 and 40512, that added together give a square (82944 = 2882).

The spelling of 4243240512 in words is "four billion, two hundred forty-three million, two hundred forty thousand, five hundred twelve".