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241313343423200 = 25521033378690089
BaseRepresentation
bin110110110111100100100100…
…000111010100001011100000
31011122102022220210220122122022
4312313210210013110023200
5223112134211404020300
62213121453005201012
7101554212415313336
oct6667444407241340
91148368823818568
10241313343423200
116a987461377994
1223094186560168
13a48599b215259
1443838b188bb56
151cd71a936d285
hexdb79241d42e0

241313343423200 has 144 divisors (see below), whose sum is σ = 596590807307040. Its totient is φ = 95304542699520.

The previous prime is 241313343423199. The next prime is 241313343423223. The reversal of 241313343423200 is 2324343313142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23423756 + ... + 32113844.

It is an arithmetic number, because the mean of its divisors is an integer number (4142991717410).

Almost surely, 2241313343423200 is an apocalyptic number.

241313343423200 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 241313343423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298295403653520).

241313343423200 is an abundant number, since it is smaller than the sum of its proper divisors (355277463883840).

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

241313343423200 is a wasteful number, since it uses less digits than its factorization.

241313343423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690549 (or 8690536 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 241313343423200 its reverse (2324343313142), we get a palindrome (243637686736342).

The spelling of 241313343423200 in words is "two hundred forty-one trillion, three hundred thirteen billion, three hundred forty-three million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 103 160 200 206 337 400 412 515 674 800 824 1030 1348 1648 1685 2060 2575 2696 3296 3370 4120 5150 5392 6740 8240 8425 10300 10784 13480 16480 16850 20600 26960 33700 34711 41200 53920 67400 69422 82400 134800 138844 173555 269600 277688 347110 555376 694220 867775 1110752 1388440 1735550 2776880 3471100 5553760 6942200 8690089 13884400 17380178 27768800 34760356 43450445 69520712 86900890 139041424 173801780 217252225 278082848 347603560 434504450 695207120 869008900 895079167 1390414240 1738017800 1790158334 2928559993 3476035600 3580316668 4475395835 5857119986 6952071200 7160633336 8950791670 11714239972 14321266672 14642799965 17901583340 22376979175 23428479944 28642533344 29285599930 35803166680 44753958350 46856959888 58571199860 71606333360 73213999825 89507916700 93713919776 117142399720 143212666720 146427999650 179015833400 234284799440 292855999300 301641679279 358031666800 468569598880 585711998600 603283358558 716063333600 1171423997200 1206566717116 1508208396395 2342847994400 2413133434232 3016416792790 4826266868464 6032833585580 7541041981975 9652533736928 12065667171160 15082083963950 24131334342320 30164167927900 48262668684640 60328335855800 120656671711600 241313343423200