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241331340000 = 253544022189
BaseRepresentation
bin1110000011000001111…
…0000000001011100000
3212001220210111022010210
43200300132000023200
512423221310340000
6302511024054120
723302262354352
oct3406036001340
9761823438123
10241331340000
1193391282733
123a931464340
13199b016058a
14b97540b0d2
156426c8c350
hex38307802e0

241331340000 has 120 divisors (see below), whose sum is σ = 791615258280. Its totient is φ = 64355008000.

The previous prime is 241331339999. The next prime is 241331340007. The reversal of 241331340000 is 43133142.

241331340000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241331340007) 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 19 ways as a sum of consecutive naturals, for example, 1951095 + ... + 2071094.

It is an arithmetic number, because the mean of its divisors is an integer number (6596793819).

Almost surely, 2241331340000 is an apocalyptic number.

241331340000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241331340000 is an abundant number, since it is smaller than the sum of its proper divisors (550283918280).

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

241331340000 is an equidigital number, since it uses as much as digits as its factorization.

241331340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022222 (or 4022199 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 241331340000 its reverse (43133142), we get a palindrome (241374473142).

The spelling of 241331340000 in words is "two hundred forty-one billion, three hundred thirty-one million, three hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3750 4000 5000 6000 7500 10000 12000 15000 20000 30000 60000 4022189 8044378 12066567 16088756 20110945 24133134 32177512 40221890 48266268 60332835 64355024 80443780 96532536 100554725 120665670 128710048 160887560 193065072 201109450 241331340 301664175 321775120 386130144 402218900 482662680 502773625 603328350 643550240 804437800 965325360 1005547250 1206656700 1508320875 1608875600 1930650720 2011094500 2413313400 2513868125 3016641750 3217751200 4022189000 4826626800 5027736250 6033283500 7541604375 8044378000 9653253600 10055472500 12066567000 15083208750 16088756000 20110945000 24133134000 30166417500 40221890000 48266268000 60332835000 80443780000 120665670000 241331340000