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4445300000 = 255544453
BaseRepresentation
bin1000010001111010…
…11110010100100000
3102110210121122012202
410020331132110200
533100444100000
62013034112332
7215105266211
oct41075362440
912423548182
104445300000
11198128a759
12a4087b6a8
1355ac6403b
1430254b408
151b03d5dd5
hex108f5e520

4445300000 has 72 divisors (see below), whose sum is σ = 10939151412. Its totient is φ = 1778080000.

The previous prime is 4445299979. The next prime is 4445300039. The reversal of 4445300000 is 35444.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1127079184 + 3318220816 = 33572^2 + 57604^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77774 + ... + 122226.

Almost surely, 24445300000 is an apocalyptic number.

4445300000 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 4445300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5469575706).

4445300000 is an abundant number, since it is smaller than the sum of its proper divisors (6493851412).

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

4445300000 is an frugal number, since it uses more digits than its factorization.

4445300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44488 (or 44460 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 4445300000 is about 66673.0830245610. The cubic root of 4445300000 is about 1644.2468751902.

Adding to 4445300000 its reverse (35444), we get a palindrome (4445335444).

The spelling of 4445300000 in words is "four billion, four hundred forty-five million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 44453 50000 88906 100000 177812 222265 355624 444530 711248 889060 1111325 1422496 1778120 2222650 3556240 4445300 5556625 7112480 8890600 11113250 17781200 22226500 27783125 35562400 44453000 55566250 88906000 111132500 138915625 177812000 222265000 277831250 444530000 555662500 889060000 1111325000 2222650000 4445300000