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41343412410414 = 23423471279118457
BaseRepresentation
bin10010110011010000000110…
…11010010001100000101110
312102101101120111101102010000
421121220003122101200232
520404332302034113124
6223532522414325130
711464651205112342
oct1131500332214056
9172341514342100
1041343412410414
111219a7085377a4
1247787691b97a6
131a0b8896c3cca
14a2d06350d622
154ba684ed36c9
hex259a0369182e

41343412410414 has 160 divisors (see below), whose sum is σ = 98737515841536. Its totient is φ = 12899782811520.

The previous prime is 41343412410379. The next prime is 41343412410473. The reversal of 41343412410414 is 41401421434314.

41343412410414 is a `hidden beast` number, since 4 + 1 + 34 + 341 + 241 + 0 + 41 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2239976274 + ... + 2239994730.

Almost surely, 241343412410414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41343412410414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49368757920768).

41343412410414 is an abundant number, since it is smaller than the sum of its proper divisors (57394103431122).

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

41343412410414 is a wasteful number, since it uses less digits than its factorization.

41343412410414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31332 (or 31323 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 41343412410414 its reverse (41401421434314), we get a palindrome (82744833844728).

The spelling of 41343412410414 in words is "forty-one trillion, three hundred forty-three billion, four hundred twelve million, four hundred ten thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 47 54 69 81 94 138 141 162 207 282 414 423 621 846 1081 1242 1269 1863 2162 2538 3243 3726 3807 6486 7614 9729 12791 18457 19458 25582 29187 36914 38373 55371 58374 76746 87561 110742 115119 166113 175122 230238 294193 332226 345357 424511 498339 588386 601177 690714 849022 867479 882579 996678 1036071 1202354 1273533 1495017 1734958 1765158 1803531 2072142 2547066 2602437 2647737 2990034 3607062 3820599 5204874 5295474 5410593 7641198 7807311 7943211 10821186 11461797 13827071 15614622 15886422 16231779 19952017 22923594 23421933 23829633 27654142 32463558 34385391 39904034 41481213 46843866 47659266 48695337 59856051 68770782 70265799 82962426 97390674 119712102 124443639 140531598 179568153 236083487 248887278 359136306 373330917 472166974 538704459 708250461 746661834 1077408918 1119992751 1416500922 1616113377 2124751383 2239985502 3232226754 4249502766 5429920201 6374254149 10859840402 11095923889 12748508298 16289760603 19122762447 22191847778 32579521206 33287771667 38245524894 48869281809 66575543334 97738563618 99863315001 146607845427 199726630002 255206249447 293215690854 299589945003 439823536281 510412498894 599179890006 765618748341 879647072562 898769835009 1531237496682 1797539670018 2296856245023 4593712490046 6890568735069 13781137470138 20671706205207 41343412410414