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4430041000 = 235372118219
BaseRepresentation
bin1000010000000110…
…10000111110101000
3102102201220101210121
410020003100332220
533033042303000
62011331053024
7214531504300
oct41003207650
912381811717
104430041000
111973708410
12a37741174
13557a50848
143004d8600
151addbeb1a
hex1080d0fa8

4430041000 has 192 divisors, whose sum is σ = 13156603200. Its totient is φ = 1380624000.

The previous prime is 4430040983. The next prime is 4430041037. The reversal of 4430041000 is 1400344.

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, 534891 + ... + 543109.

It is an arithmetic number, because the mean of its divisors is an integer number (68523975).

Almost surely, 24430041000 is an apocalyptic number.

4430041000 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 4430041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578301600).

4430041000 is an abundant number, since it is smaller than the sum of its proper divisors (8726562200).

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

4430041000 is a wasteful number, since it uses less digits than its factorization.

4430041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8265 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4430041000 is about 66558.5531693711. The cubic root of 4430041000 is about 1642.3633633510.

Adding to 4430041000 its reverse (1400344), we get a palindrome (4431441344).

The spelling of 4430041000 in words is "four billion, four hundred thirty million, forty-one thousand".