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44011330000 = 245411236373
BaseRepresentation
bin101000111111010001…
…111001100111010000
311012121020002012210021
4220333101321213100
51210113400030000
632115111313224
73115433063311
oct507721714720
9135536065707
1044011330000
1117735280700
12864337b814
1341c5140001
1421b7230608
151228c4911a
hexa3f4799d0

44011330000 has 150 divisors (see below), whose sum is σ = 117126571562. Its totient is φ = 16003680000.

The previous prime is 44011329959. The next prime is 44011330007. The reversal of 44011330000 is 3311044.

It can be written as a sum of positive squares in 5 ways, for example, as 13513597504 + 30497732496 = 116248^2 + 174636^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44011330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1191814 + ... + 1228186.

Almost surely, 244011330000 is an apocalyptic number.

44011330000 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 44011330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58563285781).

44011330000 is an abundant number, since it is smaller than the sum of its proper divisors (73115241562).

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

44011330000 is a wasteful number, since it uses less digits than its factorization.

44011330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36423 (or 36391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 44011330000 its reverse (3311044), we get a palindrome (44014641044).

The spelling of 44011330000 in words is "forty-four billion, eleven million, three hundred thirty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 36373 48400 55000 60500 72746 75625 110000 121000 145492 151250 181865 242000 290984 302500 363730 400103 581968 605000 727460 800206 909325 1210000 1454920 1600412 1818650 2000515 2909840 3200824 3637300 4001030 4401133 4546625 6401648 7274600 8002060 8802266 9093250 10002575 14549200 16004120 17604532 18186500 20005150 22005665 22733125 32008240 35209064 36373000 40010300 44011330 45466250 50012875 70418128 72746000 80020600 88022660 90932500 100025750 110028325 160041200 176045320 181865000 200051500 220056650 250064375 352090640 363730000 400103000 440113300 500128750 550141625 800206000 880226600 1000257500 1100283250 1760453200 2000515000 2200566500 2750708125 4001030000 4401133000 5501416250 8802266000 11002832500 22005665000 44011330000