Search a number
-
+
4414798080 = 28345721179
BaseRepresentation
bin1000001110010010…
…00111100100000000
3102101200012222110000
410013021013210000
533020142014310
62010024240000
7214255110300
oct40711074400
912350188400
104414798080
111966047160
12a32610000
13554844774
142dc48b600
151ac8ad4c0
hex107247900

4414798080 has 1080 divisors, whose sum is σ = 20300353920. Its totient is φ = 905748480.

The previous prime is 4414798061. The next prime is 4414798099. The reversal of 4414798080 is 808974144.

4414798080 is a `hidden beast` number, since 441 + 47 + 98 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4414798061) and next prime (4414798099).

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883481 + ... + 55883559.

It is an arithmetic number, because the mean of its divisors is an integer number (18796624).

Almost surely, 24414798080 is an apocalyptic number.

4414798080 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 4414798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10150176960).

4414798080 is an abundant number, since it is smaller than the sum of its proper divisors (15885555840).

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

4414798080 is a wasteful number, since it uses less digits than its factorization.

4414798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 4414798080 is about 66443.9469026337. The cubic root of 4414798080 is about 1640.4775131418.

The spelling of 4414798080 in words is "four billion, four hundred fourteen million, seven hundred ninety-eight thousand, eighty".