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44325440000 = 2954138517
BaseRepresentation
bin101001010010000000…
…001000101000000000
311020102010010122200222
4221102000020220000
51211234303040000
632210212002212
73126266011022
oct512200105000
9136363118628
1044325440000
1117886612146
128710600368
13424523b30a
142206c38012
1512465e3a85
hexa52008a00

44325440000 has 100 divisors (see below), whose sum is σ = 110670756834. Its totient is φ = 17730048000.

The previous prime is 44325439997. The next prime is 44325440009. The reversal of 44325440000 is 4452344.

It can be written as a sum of positive squares in 5 ways, for example, as 10137856 + 44315302144 = 3184^2 + 210512^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (44325440009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 250742 + ... + 389258.

Almost surely, 244325440000 is an apocalyptic number.

44325440000 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 44325440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55335378417).

44325440000 is an abundant number, since it is smaller than the sum of its proper divisors (66345316834).

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

44325440000 is an frugal number, since it uses more digits than its factorization.

44325440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138555 (or 138524 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

Adding to 44325440000 its reverse (4452344), we get a palindrome (44329892344).

The spelling of 44325440000 in words is "forty-four billion, three hundred twenty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 138517 160000 277034 320000 554068 692585 1108136 1385170 2216272 2770340 3462925 4432544 5540680 6925850 8865088 11081360 13851700 17314625 17730176 22162720 27703400 34629250 35460352 44325440 55406800 69258500 70920704 86573125 88650880 110813600 138517000 173146250 177301760 221627200 277034000 346292500 354603520 443254400 554068000 692585000 886508800 1108136000 1385170000 1773017600 2216272000 2770340000 4432544000 5540680000 8865088000 11081360000 22162720000 44325440000