Search a number
-
+
30438421056 = 263973331
BaseRepresentation
bin11100010110010001…
…010111001001000000
32220120022021000000000
4130112101113021000
5444314213433211
621552213000000
72125202211231
oct342621271100
986508230000
1030438421056
11119aa77128a
125a95923000
132b41169644
14168a771088
15bd237b656
hex716457240

30438421056 has 280 divisors, whose sum is σ = 92118895264. Its totient is φ = 9976919040.

The previous prime is 30438421003. The next prime is 30438421061. The reversal of 30438421056 is 65012483403.

30438421056 is a `hidden beast` number, since 3 + 0 + 438 + 4 + 210 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30438421056.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 91958811 + ... + 91959141.

Almost surely, 230438421056 is an apocalyptic number.

30438421056 is a gapful number since it is divisible by the number (36) 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 30438421056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46059447632).

30438421056 is an abundant number, since it is smaller than the sum of its proper divisors (61680474208).

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

30438421056 is an frugal number, since it uses more digits than its factorization.

30438421056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 30438421056 in words is "thirty billion, four hundred thirty-eight million, four hundred twenty-one thousand, fifty-six".