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5432240000000 = 21057116173
BaseRepresentation
bin100111100001100101010…
…1111000100110000000000
3201020022120010221012010002
41033003022233010300000
51203000211420000000
615315311523455132
71100315654066222
oct117031257046000
921208503835102
105432240000000
111804888953060
1273897a2274a8
13305347b92888
1414acc9684412
15964897128d5
hex4f0cabc4c00

5432240000000 has 352 divisors, whose sum is σ = 14810326929216. Its totient is φ = 1975040000000.

The previous prime is 5432239999943. The next prime is 5432240000069. The reversal of 5432240000000 is 422345.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 879996914 + ... + 880003086.

Almost surely, 25432240000000 is an apocalyptic number.

5432240000000 is a gapful number since it is divisible by the number (50) 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 5432240000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405163464608).

5432240000000 is an abundant number, since it is smaller than the sum of its proper divisors (9378086929216).

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

5432240000000 is an frugal number, since it uses more digits than its factorization.

5432240000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6239 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

Adding to 5432240000000 its reverse (422345), we get a palindrome (5432240422345).

The spelling of 5432240000000 in words is "five trillion, four hundred thirty-two billion, two hundred forty million", and thus it is an aban number.