Search a number
-
+
243410021000 = 23532912236863
BaseRepresentation
bin1110001010110001011…
…1100010101010001000
3212021021122220020101222
43202230113202222020
512442000431133000
6303453201301212
723404633016666
oct3425427425210
9767248806358
10243410021000
119425867a513
123b211634808
1319c519c5833
14bad1507c36
1564e94e2a85
hex38ac5e2a88

243410021000 has 128 divisors (see below), whose sum is σ = 589787827200. Its totient is φ = 93916076800.

The previous prime is 243410020969. The next prime is 243410021047. The reversal of 243410021000 is 120014342.

It is a self number, because there is not a number n which added to its sum of digits gives 243410021000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35463569 + ... + 35470431.

It is an arithmetic number, because the mean of its divisors is an integer number (4607717400).

Almost surely, 2243410021000 is an apocalyptic number.

243410021000 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 243410021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294893913600).

243410021000 is an abundant number, since it is smaller than the sum of its proper divisors (346377806200).

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

243410021000 is a wasteful number, since it uses less digits than its factorization.

243410021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8136 (or 8122 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 243410021000 its reverse (120014342), we get a palindrome (243530035342).

The spelling of 243410021000 in words is "two hundred forty-three billion, four hundred ten million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1223 1450 2446 2900 3625 4892 5800 6115 6863 7250 9784 12230 13726 14500 24460 27452 29000 30575 34315 35467 48920 54904 61150 68630 70934 122300 137260 141868 152875 171575 177335 199027 244600 274520 283736 305750 343150 354670 398054 611500 686300 709340 796108 857875 886675 995135 1223000 1372600 1418680 1592216 1715750 1773350 1990270 3431500 3546700 3980540 4433375 4975675 6863000 7093400 7961080 8393449 8866750 9951350 16786898 17733500 19902700 24878375 33573796 35467000 39805400 41967245 49756750 67147592 83934490 99513500 167868980 199027000 209836225 243410021 335737960 419672450 486820042 839344900 973640084 1049181125 1217050105 1678689800 1947280168 2098362250 2434100210 4196724500 4868200420 6085250525 8393449000 9736400840 12170501050 24341002100 30426252625 48682004200 60852505250 121705010500 243410021000