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4430000000 = 2757443
BaseRepresentation
bin1000010000000110…
…00110111110000000
3102102201211022120002
410020003012332000
533033040000000
62011330135132
7214531243616
oct41003067600
912381738502
104430000000
11197368a628
12a377214a8
13557a37c9a
143004c76b6
151addb28d5
hex1080c6f80

4430000000 has 128 divisors (see below), whose sum is σ = 11056612320. Its totient is φ = 1768000000.

The previous prime is 4429999999. The next prime is 4430000017. The reversal of 4430000000 is 344.

It is a tau number, because it is divible by the number of its divisors (128).

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9999779 + ... + 10000221.

Almost surely, 24430000000 is an apocalyptic number.

4430000000 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 4430000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5528306160).

4430000000 is an abundant number, since it is smaller than the sum of its proper divisors (6626612320).

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

4430000000 is an frugal number, since it uses more digits than its factorization.

4430000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 4430000000 is about 66558.2451691749. The cubic root of 4430000000 is about 1642.3582966481.

Adding to 4430000000 its reverse (344), we get a palindrome (4430000344).

The spelling of 4430000000 in words is "four billion, four hundred thirty million", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 443 500 625 640 800 886 1000 1250 1600 1772 2000 2215 2500 3125 3200 3544 4000 4430 5000 6250 7088 8000 8860 10000 11075 12500 14176 15625 16000 17720 20000 22150 25000 28352 31250 35440 40000 44300 50000 55375 56704 62500 70880 78125 80000 88600 100000 110750 125000 141760 156250 177200 200000 221500 250000 276875 283520 312500 354400 400000 443000 500000 553750 625000 708800 886000 1000000 1107500 1250000 1384375 1417600 1772000 2000000 2215000 2500000 2768750 3544000 4430000 5000000 5537500 6921875 7088000 8860000 10000000 11075000 13843750 17720000 22150000 27687500 34609375 35440000 44300000 55375000 69218750 88600000 110750000 138437500 177200000 221500000 276875000 443000000 553750000 886000000 1107500000 2215000000 4430000000