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44325221344000 = 28532662752021
BaseRepresentation
bin10100001010000010001010…
…00100101010001100000000
312210221110010212221202200121
422011001011010222030000
521302211023131002000
6234134420420230024
712223251206625412
oct1205010504521400
9183843125852617
1044325221344000
111313a24798aa93
124b7a636b3b314
131b96b0954668c
14ad34d04809b2
1551d0026cbb1a
hex28504512a300

44325221344000 has 144 divisors (see below), whose sum is σ = 110425936604256. Its totient is φ = 17729081856000.

The previous prime is 44325221343979. The next prime is 44325221344003. The reversal of 44325221344000 is 44312252344.

It is not an unprimeable number, because it can be changed into a prime (44325221344003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852037990 + ... + 852090010.

It is an arithmetic number, because the mean of its divisors is an integer number (766846781974).

Almost surely, 244325221344000 is an apocalyptic number.

44325221344000 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 44325221344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55212968302128).

44325221344000 is an abundant number, since it is smaller than the sum of its proper divisors (66100715260256).

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

44325221344000 is an equidigital number, since it uses as much as digits as its factorization.

44325221344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78679 (or 78655 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 44325221344000 its reverse (44312252344), we get a palindrome (44369533596344).

The spelling of 44325221344000 in words is "forty-four trillion, three hundred twenty-five billion, two hundred twenty-one million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 640 800 1000 1280 1600 2000 3200 4000 6400 8000 16000 26627 32000 52021 53254 104042 106508 133135 208084 213016 260105 266270 416168 426032 520210 532540 665675 832336 852064 1040420 1065080 1300525 1331350 1664672 1704128 2080840 2130160 2601050 2662700 3328375 3329344 3408256 4161680 4260320 5202100 5325400 6502625 6656750 6658688 6816512 8323360 8520640 10404200 10650800 13005250 13313500 13317376 16646720 17041280 20808400 21301600 26010500 26627000 33293440 34082560 41616800 42603200 52021000 53254000 66586880 83233600 85206400 104042000 106508000 166467200 170412800 208084000 213016000 332934400 416168000 426032000 832336000 852064000 1385163167 1664672000 2770326334 5540652668 6925815835 11081305336 13851631670 22162610672 27703263340 34629079175 44325221344 55406526680 69258158350 88650442688 110813053360 138516316700 173145395875 177300885376 221626106720 277032633400 346290791750 354601770752 443252213440 554065266800 692581583500 886504426880 1108130533600 1385163167000 1773008853760 2216261067200 2770326334000 4432522134400 5540652668000 8865044268800 11081305336000 22162610672000 44325221344000