Search a number
-
+
42503442800 = 24527213315381
BaseRepresentation
bin100111100101011001…
…110001000101110000
311001201010201121102012
4213211121301011300
51144021340132200
631305324142052
73033163205600
oct474531610560
9131633647365
1042503442800
11170310a3735
1282a2397928
134014918a70
1420b2c76c00
15118b692a35
hex9e5671170

42503442800 has 360 divisors, whose sum is σ = 132074796672. Its totient is φ = 13015296000.

The previous prime is 42503442767. The next prime is 42503442851. The reversal of 42503442800 is 824430524.

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 71 ways as a sum of consecutive naturals, for example, 7896110 + ... + 7901490.

Almost surely, 242503442800 is an apocalyptic number.

42503442800 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 42503442800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66037398336).

42503442800 is an abundant number, since it is smaller than the sum of its proper divisors (89571353872).

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

42503442800 is a wasteful number, since it uses less digits than its factorization.

42503442800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The spelling of 42503442800 in words is "forty-two billion, five hundred three million, four hundred forty-two thousand, eight hundred".