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44020240000 = 27541150023
BaseRepresentation
bin101000111111110011…
…111000111010000000
311012121211211220000021
4220333303320322000
51210123140140000
632120030303224
73115601603062
oct507763707200
9135554756007
1044020240000
111773a306940
128646357b14
1341c6c3c6b9
1421b84ad732
15122990911a
hexa3fcf8e80

44020240000 has 160 divisors (see below), whose sum is σ = 119550356640. Its totient is φ = 16007040000.

The previous prime is 44020239959. The next prime is 44020240007. The reversal of 44020240000 is 4202044.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is not an unprimeable number, because it can be changed into a prime (44020240007) 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 19 ways as a sum of consecutive naturals, for example, 854989 + ... + 905011.

It is an arithmetic number, because the mean of its divisors is an integer number (747189729).

Almost surely, 244020240000 is an apocalyptic number.

44020240000 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 44020240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59775178320).

44020240000 is an abundant number, since it is smaller than the sum of its proper divisors (75530116640).

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

44020240000 is an equidigital number, since it uses as much as digits as its factorization.

44020240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50068 (or 50041 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 44020240000 its reverse (4202044), we get a palindrome (44024442044).

The spelling of 44020240000 in words is "forty-four billion, twenty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 50023 55000 80000 88000 100046 110000 176000 200092 220000 250115 400184 440000 500230 550253 800368 880000 1000460 1100506 1250575 1600736 2000920 2201012 2501150 2751265 3201472 4001840 4402024 5002300 5502530 6252875 6402944 8003680 8804048 10004600 11005060 12505750 13756325 16007360 17608096 20009200 22010120 25011500 27512650 31264375 32014720 35216192 40018400 44020240 50023000 55025300 62528750 68781625 70432384 80036800 88040480 100046000 110050600 125057500 137563250 160073600 176080960 200092000 220101200 250115000 275126500 343908125 352161920 400184000 440202400 500230000 550253000 687816250 800368000 880404800 1000460000 1100506000 1375632500 1760809600 2000920000 2201012000 2751265000 4001840000 4402024000 5502530000 8804048000 11005060000 22010120000 44020240000