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12144315300 = 22352133113927
BaseRepresentation
bin10110100111101101…
…11000101110100100
31011100100200010201120
423103312320232210
5144332421042200
65325022453540
7606642656025
oct132366705644
934310603646
1012144315300
115172170917
12242b1342b0
1311b70230b0
14832c66c4c
154b127a9a0
hex2d3db8ba4

12144315300 has 72 divisors (see below), whose sum is σ = 37840453056. Its totient is φ = 2989368960.

The previous prime is 12144315257. The next prime is 12144315361. The reversal of 12144315300 is 351344121.

It is a happy number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1553064 + ... + 1560863.

It is an arithmetic number, because the mean of its divisors is an integer number (525561848).

Almost surely, 212144315300 is an apocalyptic number.

12144315300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12144315300 is an abundant number, since it is smaller than the sum of its proper divisors (25696137756).

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

12144315300 is a wasteful number, since it uses less digits than its factorization.

12144315300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3113957 (or 3113950 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 12144315300 its reverse (351344121), we get a palindrome (12495659421).

The spelling of 12144315300 in words is "twelve billion, one hundred forty-four million, three hundred fifteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 3113927 6227854 9341781 12455708 15569635 18683562 31139270 37367124 40481051 46708905 62278540 77848175 80962102 93417810 121443153 155696350 161924204 186835620 202405255 233544525 242886306 311392700 404810510 467089050 485772612 607215765 809621020 934178100 1012026275 1214431530 2024052550 2428863060 3036078825 4048105100 6072157650 12144315300