Search a number
-
+
430045200420 = 2235113123099103
BaseRepresentation
bin1100100001000001011…
…00010000000000100100
31112010000120220200200120
412100200230100000210
524021213032403140
6525320545041540
743032630614343
oct6204054200044
91463016820616
10430045200420
11156421339150
126b4193262b0
133172619b044
1416b58615b5a
15b2be4a01d0
hex6420b10024

430045200420 has 192 divisors, whose sum is σ = 1356702842880. Its totient is φ = 100835596800.

The previous prime is 430045200413. The next prime is 430045200433. The reversal of 430045200420 is 24002540034.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47237589 + ... + 47246691.

It is an arithmetic number, because the mean of its divisors is an integer number (7066160640).

Almost surely, 2430045200420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 430045200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678351421440).

430045200420 is an abundant number, since it is smaller than the sum of its proper divisors (926657642460).

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

430045200420 is a wasteful number, since it uses less digits than its factorization.

430045200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11466 (or 11464 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 430045200420 its reverse (24002540034), we get a palindrome (454047740454).

The spelling of 430045200420 in words is "four hundred thirty billion, forty-five million, two hundred thousand, four hundred twenty".