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4238240640 = 27353122297
BaseRepresentation
bin1111110010011110…
…0110101110000000
3101221100222221011120
43330213212232000
532134442200030
61540320112240
7210012310464
oct37447465600
911840887146
104238240640
111885415a17
129a3465680
135270a77ca
142c2c4c4a4
1519c135010
hexfc9e6b80

4238240640 has 192 divisors, whose sum is σ = 13965313680. Its totient is φ = 1093263360.

The previous prime is 4238240623. The next prime is 4238240687. The reversal of 4238240640 is 460428324.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1843972 + ... + 1846268.

Almost surely, 24238240640 is an apocalyptic number.

4238240640 is a gapful number since it is divisible by the number (40) 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 4238240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6982656840).

4238240640 is an abundant number, since it is smaller than the sum of its proper divisors (9727073040).

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

4238240640 is a wasteful number, since it uses less digits than its factorization.

4238240640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2338 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

The square root of 4238240640 is about 65101.7714044710. The cubic root of 4238240640 is about 1618.3105692126.

Adding to 4238240640 its reverse (460428324), we get a palindrome (4698668964).

The spelling of 4238240640 in words is "four billion, two hundred thirty-eight million, two hundred forty thousand, six hundred forty".