Search a number
-
+
430004311000 = 235311611973253
BaseRepresentation
bin1100100000111100100…
…00010001001111011000
31112002220201222021221121
412100132100101033120
524021122100423000
6525312524415024
743031623223245
oct6203620211730
91462821867847
10430004311000
11156400250340
126b4076a7474
133171a882714
1416b530105cc
15b2baac4b1a
hex641e4113d8

430004311000 has 256 divisors, whose sum is σ = 1121686600320. Its totient is φ = 152974080000.

The previous prime is 430004310991. The next prime is 430004311001. The reversal of 430004311000 is 113400034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (430004311001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132185374 + ... + 132188626.

Almost surely, 2430004311000 is an apocalyptic number.

430004311000 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 430004311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560843300160).

430004311000 is an abundant number, since it is smaller than the sum of its proper divisors (691682289320).

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

430004311000 is a wasteful number, since it uses less digits than its factorization.

430004311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 430004311000 its reverse (113400034), we get a palindrome (430117711034).

The spelling of 430004311000 in words is "four hundred thirty billion, four million, three hundred eleven thousand".