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4430230431440 = 2451123179191571
BaseRepresentation
bin100000001110111111001…
…0011111010011011010000
3120200112012101011002210212
41000131332103322123100
51040041102442301230
613231115245143252
7635034145223552
oct100357623723320
916615171132725
104430230431440
111458939645600
125b673725ab28
132619cc47c618
141145d23b14d2
157a391848895
hex4077e4fa6d0

4430230431440 has 240 divisors, whose sum is σ = 11377113068160. Its totient is φ = 1603142323200.

The previous prime is 4430230431439. The next prime is 4430230431461. The reversal of 4430230431440 is 441340320344.

It is a junction number, because it is equal to n+sod(n) for n = 4430230431397 and 4430230431406.

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, 2820005855 + ... + 2820007425.

It is an arithmetic number, because the mean of its divisors is an integer number (47404637784).

Almost surely, 24430230431440 is an apocalyptic number.

4430230431440 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 4430230431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5688556534080).

4430230431440 is an abundant number, since it is smaller than the sum of its proper divisors (6946882636720).

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

4430230431440 is a wasteful number, since it uses less digits than its factorization.

4430230431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2842 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 4430230431440 its reverse (441340320344), we get a palindrome (4871570751784).

The spelling of 4430230431440 in words is "four trillion, four hundred thirty billion, two hundred thirty million, four hundred thirty-one thousand, four hundred forty".