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54244303000300 = 225275312791143167
BaseRepresentation
bin11000101010101101111000…
…11010010101001011101100
321010001201000202001020210101
430111112330122111023230
524102214313032002200
6311211253324320444
714266010252602360
oct1425267432251354
9233051022036711
1054244303000300
1116313974996796
126100aab3a3124
1324362a622014a
14d5761c8a12a0
156410436ee26a
hex3155bc6952ec

54244303000300 has 144 divisors (see below), whose sum is σ = 137171380469760. Its totient is φ = 18232857527040.

The previous prime is 54244303000253. The next prime is 54244303000301. The reversal of 54244303000300 is 300030344245.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (54244303000301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46879317 + ... + 48022483.

It is an arithmetic number, because the mean of its divisors is an integer number (952579031040).

Almost surely, 254244303000300 is an apocalyptic number.

54244303000300 is a gapful number since it is divisible by the number (50) 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 54244303000300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68585690234880).

54244303000300 is an abundant number, since it is smaller than the sum of its proper divisors (82927077469460).

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

54244303000300 is a wasteful number, since it uses less digits than its factorization.

54244303000300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144520 (or 1144513 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 28.

Adding to 54244303000300 its reverse (300030344245), we get a palindrome (54544333344545).

The spelling of 54244303000300 in words is "fifty-four trillion, two hundred forty-four billion, three hundred three million, three hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 53 70 100 106 140 175 212 265 350 371 530 700 742 1060 1279 1325 1484 1855 2558 2650 3710 5116 5300 6395 7420 8953 9275 12790 17906 18550 25580 31975 35812 37100 44765 63950 67787 89530 127900 135574 179060 223825 271148 338935 447650 474509 677870 895300 949018 1143167 1355740 1694675 1898036 2286334 2372545 3389350 4572668 4745090 5715835 6778700 8002169 9490180 11431670 11862725 16004338 22863340 23725450 28579175 32008676 40010845 47450900 57158350 60587851 80021690 114316700 121175702 160043380 200054225 242351404 302939255 400108450 424114957 605878510 800216900 848229914 1211757020 1462110593 1514696275 1696459828 2120574785 2924221186 3029392550 4241149570 5848442372 6058785100 7310552965 8482299140 10234774151 10602873925 14621105930 20469548302 21205747850 29242211860 36552764825 40939096604 42411495700 51173870755 73105529650 77491861429 102347741510 146211059300 154983722858 204695483020 255869353775 309967445716 387459307145 511738707550 542443030003 774918614290 1023477415100 1084886060006 1549837228580 1937296535725 2169772120012 2712215150015 3874593071450 5424430300030 7749186142900 10848860600060 13561075750075 27122151500150 54244303000300