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241314323000 = 23533143181031
BaseRepresentation
bin1110000010111101110…
…1000101101000111000
3212001212121110202012112
43200233131011220320
512423202431314000
6302505215231452
723301664621202
oct3405735055070
9761777422175
10241314323000
119338270a5a3
123a927818588
13199a9782b4a
14b97305b772
15642552a235
hex382f745a38

241314323000 has 128 divisors (see below), whose sum is σ = 596449751040. Its totient is φ = 91239120000.

The previous prime is 241314322999. The next prime is 241314323071. The reversal of 241314323000 is 323413142.

241314323000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 31 ways as a sum of consecutive naturals, for example, 1242485 + ... + 1423515.

It is an arithmetic number, because the mean of its divisors is an integer number (4659763680).

Almost surely, 2241314323000 is an apocalyptic number.

241314323000 is a gapful number since it is divisible by the number (20) 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 241314323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298224875520).

241314323000 is an abundant number, since it is smaller than the sum of its proper divisors (355135428040).

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

241314323000 is a wasteful number, since it uses less digits than its factorization.

241314323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181126 (or 181112 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 241314323000 its reverse (323413142), we get a palindrome (241637736142).

The spelling of 241314323000 in words is "two hundred forty-one billion, three hundred fourteen million, three hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 43 50 62 86 100 124 125 155 172 200 215 248 250 310 344 430 500 620 775 860 1000 1075 1240 1333 1550 1720 2150 2666 3100 3875 4300 5332 5375 6200 6665 7750 8600 10664 10750 13330 15500 21500 26660 31000 33325 43000 53320 66650 133300 166625 181031 266600 333250 362062 666500 724124 905155 1333000 1448248 1810310 3620620 4525775 5611961 7241240 7784333 9051550 11223922 15568666 18103100 22447844 22628875 28059805 31137332 36206200 38921665 44895688 45257750 56119610 62274664 77843330 90515500 112239220 140299025 155686660 181031000 194608325 224478440 241314323 280598050 311373320 389216650 482628646 561196100 701495125 778433300 965257292 973041625 1122392200 1206571615 1402990250 1556866600 1930514584 1946083250 2413143230 2805980500 3892166500 4826286460 5611961000 6032858075 7784333000 9652572920 12065716150 24131432300 30164290375 48262864600 60328580750 120657161500 241314323000