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41363311336314 = 23112463149382421
BaseRepresentation
bin10010110011110101001010…
…11110101001101101111010
312102110021221021201120202120
421121322211132221231322
520410144030200230224
6223550013133342110
711466254262151512
oct1131724536515572
9172407837646676
1041363311336314
11121a8099a01300
1247805a1337936
131a1070b170286
14a2ddd0204842
154bae4be36779
hex259ea57a9b7a

41363311336314 has 96 divisors (see below), whose sum is σ = 91189453646592. Its totient is φ = 12498735849600.

The previous prime is 41363311336289. The next prime is 41363311336351.

41363311336314 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501812824 + ... + 501895244.

It is an arithmetic number, because the mean of its divisors is an integer number (949890142152).

Almost surely, 241363311336314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41363311336314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45594726823296).

41363311336314 is an abundant number, since it is smaller than the sum of its proper divisors (49826142310278).

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

41363311336314 is a wasteful number, since it uses less digits than its factorization.

41363311336314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84404 (or 84393 counting only the distinct ones).

The product of its digits is 419904, while the sum is 42.

The spelling of 41363311336314 in words is "forty-one trillion, three hundred sixty-three billion, three hundred eleven million, three hundred thirty-six thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 463 726 926 1389 1493 2778 2986 4479 5093 8958 10186 15279 16423 30558 32846 49269 56023 82421 98538 112046 164842 168069 180653 247263 336138 361306 494526 541959 691259 906631 1083918 1382518 1813262 2073777 2719893 4147554 5439786 7603849 9972941 15207698 19945882 22811547 29918823 38160923 45623094 59837646 76321846 83642339 114482769 123054553 167284678 228965538 246109106 250927017 369163659 419770153 501854034 738327318 839540306 1259310459 1353600083 2518620918 2707200166 4060800249 4617471683 8121600498 9234943366 13852415049 14889600913 27704830098 29779201826 44668802739 56974258039 89337605478 113948516078 170922774117 341845548234 626716838429 1253433676858 1880150515287 3760301030574 6893885222719 13787770445438 20681655668157 41363311336314