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4230413000 = 235311232727
BaseRepresentation
bin1111110000100110…
…1111101011001000
3101220211021020122222
43330021233223020
532130441204000
61535440233212
7206555626412
oct37411575310
911824236588
104230413000
111880a599a0
129a090b808
13525596978
142c1bb19b2
1519b5daa85
hexfc26fac8

4230413000 has 192 divisors, whose sum is σ = 11304558720. Its totient is φ = 1469424000.

The previous prime is 4230412993. The next prime is 4230413017. The reversal of 4230413000 is 3140324.

It is a self number, because there is not a number n which added to its sum of digits gives 4230413000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5818637 + ... + 5819363.

It is an arithmetic number, because the mean of its divisors is an integer number (58877910).

Almost surely, 24230413000 is an apocalyptic number.

4230413000 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 4230413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652279360).

4230413000 is an abundant number, since it is smaller than the sum of its proper divisors (7074145720).

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

4230413000 is a wasteful number, since it uses less digits than its factorization.

4230413000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4230413000 is about 65041.6251334482. The cubic root of 4230413000 is about 1617.3136650541.

Adding to 4230413000 its reverse (3140324), we get a palindrome (4233553324).

The spelling of 4230413000 in words is "four billion, two hundred thirty million, four hundred thirteen thousand".