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241324041042414 = 2321126710116373689
BaseRepresentation
bin110110110111101110100001…
…101111011111100111101110
31011122110100112100101000102100
4312313232201233133213232
5223112323114001324124
62213130422312235530
7101555041463502501
oct6667564157374756
91148410470330370
10241324041042414
116a990a50955600
122309627109bba6
13a4869b45ba255
144384208529138
151cd75d35cd1c9
hexdb7ba1bdf9ee

241324041042414 has 144 divisors (see below), whose sum is σ = 589076769088080. Its totient is φ = 71323784928000.

The previous prime is 241324041042407. The next prime is 241324041042431. The reversal of 241324041042414 is 414240140423142.

241324041042414 is a `hidden beast` number, since 2 + 4 + 1 + 3 + 2 + 404 + 1 + 0 + 4 + 241 + 4 = 666.

It is a Curzon number.

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, 6551682 + ... + 22925370.

It is an arithmetic number, because the mean of its divisors is an integer number (4090810896445).

Almost surely, 2241324041042414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241324041042414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294538384544040).

241324041042414 is an abundant number, since it is smaller than the sum of its proper divisors (347752728045666).

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

241324041042414 is a wasteful number, since it uses less digits than its factorization.

241324041042414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16373887 (or 16373873 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 241324041042414 its reverse (414240140423142), we get a palindrome (655564181465556).

The spelling of 241324041042414 in words is "two hundred forty-one trillion, three hundred twenty-four billion, forty-one million, forty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 67 99 101 121 134 198 201 202 242 303 363 402 603 606 726 737 909 1089 1111 1206 1474 1818 2178 2211 2222 3333 4422 6633 6666 6767 8107 9999 12221 13266 13534 16214 19998 20301 24321 24442 36663 40602 48642 60903 72963 73326 74437 109989 121806 145926 148874 219978 223311 446622 669933 818807 1339866 1637614 2456421 4912842 7369263 14738526 16373689 32747378 49121067 98242134 147363201 180110579 294726402 360221158 540331737 1080663474 1097037163 1620995211 1653742589 1981216369 2194074326 3241990422 3291111489 3307485178 3962432738 4961227767 5943649107 6582222978 9873334467 9922455534 11887298214 12067408793 14883683301 17830947321 18191168479 19746668934 24134817586 29767366602 35661894642 36202226379 36382336958 54573505437 72404452758 108606679137 109147010874 110800753463 132741496723 163720516311 200102853269 217213358274 221601506926 265482993446 327441032622 332402260389 398224490169 400205706538 600308559807 664804520778 796448980338 997206781167 1194673470507 1200617119614 1218808288093 1800925679421 1994413562334 2389346941014 2437616576186 3601851358842 3656424864279 7312849728558 10969274592837 13406891169023 21938549185674 26813782338046 40220673507069 80441347014138 120662020521207 241324041042414