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4430104120 = 2351317241719
BaseRepresentation
bin1000010000000111…
…00000011000111000
3102102202000121101101
410020003200120320
533033101312440
62011332301144
7214532156311
oct41003403070
912382017341
104430104120
111973750882
12a377717b4
13557a734b0
14300513608
151addd369a
hex1080e0638

4430104120 has 192 divisors, whose sum is σ = 11697436800. Its totient is φ = 1499873280.

The previous prime is 4430104099. The next prime is 4430104181. The reversal of 4430104120 is 214010344.

It is a super-3 number, since 3×44301041203 (a number of 30 digits) contains 333 as substring.

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, 6161121 + ... + 6161839.

It is an arithmetic number, because the mean of its divisors is an integer number (60924150).

Almost surely, 24430104120 is an apocalyptic number.

4430104120 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 4430104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848718400).

4430104120 is an abundant number, since it is smaller than the sum of its proper divisors (7267332680).

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

4430104120 is a wasteful number, since it uses less digits than its factorization.

4430104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 4430104120 is about 66559.0273366431. The cubic root of 4430104120 is about 1642.3711635409.

Adding to 4430104120 its reverse (214010344), we get a palindrome (4644114464).

The spelling of 4430104120 in words is "four billion, four hundred thirty million, one hundred four thousand, one hundred twenty".