Search a number
-
+
241205215211350 = 252132353644912539
BaseRepresentation
bin110110110101111111110111…
…001010111010111101010110
31011122000222211011121100220021
4312311333313022322331112
5223103401240043230400
62213000051322255354
7101543334042552235
oct6665776712727526
91148028734540807
10241205215211350
116a945614863a35
122307722a65755a
13a478728751b00
14437c57510ab1c
151cd447b75e71a
hexdb5ff72baf56

241205215211350 has 144 divisors (see below), whose sum is σ = 487297913058000. Its totient is φ = 88787239157760.

The previous prime is 241205215211339. The next prime is 241205215211371. The reversal of 241205215211350 is 53112512502142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19236393381 + ... + 19236405919.

It is an arithmetic number, because the mean of its divisors is an integer number (3384013285125).

Almost surely, 2241205215211350 is an apocalyptic number.

241205215211350 is an abundant number, since it is smaller than the sum of its proper divisors (246092697846650).

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

241205215211350 is a wasteful number, since it uses less digits than its factorization.

241205215211350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19379 (or 19361 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 34.

Adding to 241205215211350 its reverse (53112512502142), we get a palindrome (294317727713492).

The spelling of 241205215211350 in words is "two hundred forty-one trillion, two hundred five billion, two hundred fifteen million, two hundred eleven thousand, three hundred fifty".

Divisors: 1 2 5 10 13 25 26 50 65 130 169 325 338 353 650 706 845 1690 1765 3530 4225 4589 6449 8450 8825 9178 12539 12898 17650 22945 25078 32245 45890 59657 62695 64490 83837 114725 119314 125390 161225 163007 167674 229450 298285 313475 322450 326014 419185 596570 626950 815035 838370 1089881 1491425 1630070 2095925 2119091 2179762 2276497 2982850 4075175 4191850 4238182 4426267 4552994 5449405 8150350 8852534 10595455 10898810 11382485 21190910 22131335 22764970 27247025 29594461 44262670 52977275 54494050 56912425 57541471 59188922 80864011 105954550 110656675 113824850 115082942 147972305 161728022 221313350 287707355 295944610 384727993 404320055 575414710 739861525 748039123 769455986 808640110 1051232143 1438536775 1479723050 1496078246 1923639965 2021600275 2102464286 2877073550 3740195615 3847279930 4043200550 5256160715 7480391230 9618199825 10512321430 13666017859 18700978075 19236399650 26280803575 27332035718 28544995883 37401956150 52561607150 57089991766 68330089295 136660178590 142724979415 285449958830 341650446475 371084946479 683300892950 713624897075 742169892958 1427249794150 1855424732395 3710849464790 4824104304227 9277123661975 9648208608454 18554247323950 24120521521135 48241043042270 120602607605675 241205215211350