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44211100000 = 25551923269
BaseRepresentation
bin101001001011001011…
…111101100101100000
311020010010222120201011
4221023023331211200
51211021020200000
632151005150304
73123410102164
oct511313754540
9136103876634
1044211100000
1117828016881
12869a25b394
134227646702
1421d5992ca4
15123b55a2ba
hexa4b2fd960

44211100000 has 144 divisors (see below), whose sum is σ = 114524701200. Its totient is φ = 16752960000.

The previous prime is 44211099971. The next prime is 44211100007. The reversal of 44211100000 is 111244.

44211100000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44211100007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1888366 + ... + 1911634.

It is an arithmetic number, because the mean of its divisors is an integer number (795310425).

Almost surely, 244211100000 is an apocalyptic number.

44211100000 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 44211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57262350600).

44211100000 is an abundant number, since it is smaller than the sum of its proper divisors (70313601200).

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

44211100000 is an equidigital number, since it uses as much as digits as its factorization.

44211100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23323 (or 23295 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 44211100000 its reverse (111244), we get a palindrome (44211211244).

The spelling of 44211100000 in words is "forty-four billion, two hundred eleven million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 76 80 95 100 125 152 160 190 200 250 304 380 400 475 500 608 625 760 800 950 1000 1250 1520 1900 2000 2375 2500 3040 3125 3800 4000 4750 5000 6250 7600 9500 10000 11875 12500 15200 19000 20000 23269 23750 25000 38000 46538 47500 50000 59375 76000 93076 95000 100000 116345 118750 186152 190000 232690 237500 372304 380000 442111 465380 475000 581725 744608 884222 930760 950000 1163450 1768444 1861520 1900000 2210555 2326900 2908625 3536888 3723040 4421110 4653800 5817250 7073776 8842220 9307600 11052775 11634500 14147552 14543125 17684440 18615200 22105550 23269000 29086250 35368880 44211100 46538000 55263875 58172500 70737760 72715625 88422200 93076000 110527750 116345000 145431250 176844400 221055500 232690000 276319375 290862500 353688800 442111000 465380000 552638750 581725000 884222000 1105277500 1163450000 1381596875 1768444000 2210555000 2326900000 2763193750 4421110000 5526387500 8842220000 11052775000 22105550000 44211100000