Search a number
-
+
4559142240 = 253353892713
BaseRepresentation
bin1000011111011111…
…01111110101100000
3102202201211102102000
410033233233311200
533314120022430
62032222124000
7220660032612
oct41757576540
912681742360
104559142240
111a2a576054
12a72a20600
13578713203
14313702db2
151ba3c1e60
hex10fbefd60

4559142240 has 192 divisors, whose sum is σ = 16003915200. Its totient is φ = 1212198912.

The previous prime is 4559142227. The next prime is 4559142253. The reversal of 4559142240 is 422419554.

It is a happy number.

4559142240 is a `hidden beast` number, since 4 + 5 + 591 + 4 + 22 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4559142227) and next prime (4559142253).

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

It is a junction number, because it is equal to n+sod(n) for n = 4559142195 and 4559142204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1679124 + ... + 1681836.

It is an arithmetic number, because the mean of its divisors is an integer number (83353725).

Almost surely, 24559142240 is an apocalyptic number.

4559142240 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 4559142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001957600).

4559142240 is an abundant number, since it is smaller than the sum of its proper divisors (11444772960).

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

4559142240 is a wasteful number, since it uses less digits than its factorization.

4559142240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3112 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4559142240 is about 67521.4206011692. The cubic root of 4559142240 is about 1658.1648854825.

The spelling of 4559142240 in words is "four billion, five hundred fifty-nine million, one hundred forty-two thousand, two hundred forty".