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241222343004540 = 22345433343886099
BaseRepresentation
bin110110110110001111110100…
…000100010001000101111100
31011122002122000211120102010000
4312312033310010101011330
5223104141324302121130
62213012003050314300
7101544511350443322
oct6666176404210574
91148078024512100
10241222343004540
116a951903a77517
122307a60a728990
13a47a22806a391
14437d31bb73d12
151cd4b3027b260
hexdb63f411117c

241222343004540 has 120 divisors (see below), whose sum is σ = 758471055526800. Its totient is φ = 64177399153152.

The previous prime is 241222343004529. The next prime is 241222343004541. The reversal of 241222343004540 is 45400343222142.

241222343004540 is a `hidden beast` number, since 2 + 4 + 122 + 23 + 430 + 0 + 45 + 40 = 666.

241222343004540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2412223430045402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 241222343004495 and 241222343004504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241222343004541) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171241590 + ... + 172644509.

It is an arithmetic number, because the mean of its divisors is an integer number (6320592129390).

Almost surely, 2241222343004540 is an apocalyptic number.

241222343004540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241222343004540 is an abundant number, since it is smaller than the sum of its proper divisors (517248712522260).

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

241222343004540 is a wasteful number, since it uses less digits than its factorization.

241222343004540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343886553 (or 343886542 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 241222343004540 its reverse (45400343222142), we get a palindrome (286622686226682).

The spelling of 241222343004540 in words is "two hundred forty-one trillion, two hundred twenty-two billion, three hundred forty-three million, four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 433 540 810 866 1299 1620 1732 2165 2598 3897 4330 5196 6495 7794 8660 11691 12990 15588 19485 23382 25980 35073 38970 46764 58455 70146 77940 116910 140292 175365 233820 350730 701460 343886099 687772198 1031658297 1375544396 1719430495 2063316594 3094974891 3438860990 4126633188 5158291485 6189949782 6877721980 9284924673 10316582970 12379899564 15474874455 18569849346 20633165940 27854774019 30949748910 37139698692 46424623365 55709548038 61899497820 92849246730 111419096076 139273870095 148902680867 185698493460 278547740190 297805361734 446708042601 557095480380 595610723468 744513404335 893416085202 1340124127803 1489026808670 1786832170404 2233540213005 2680248255606 2978053617340 4020372383409 4467080426010 5360496511212 6700620639015 8040744766818 8934160852020 12061117150227 13401241278030 16081489533636 20101861917045 24122234300454 26802482556060 40203723834090 48244468600908 60305585751135 80407447668180 120611171502270 241222343004540