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41334144303333 = 3724152267156259
BaseRepresentation
bin10010110010111110110101…
…11111010000000011100101
312102100111122120210210022210
421121133122333100003211
520404204311420201313
6223524351014514033
711464202425363110
oct1131373277200345
9172314576723283
1041334144303333
1112196791975772
124776a01365919
131a0aa4053168b
14a2c824667577
154ba2e14e79c3
hex2597dafd00e5

41334144303333 has 32 divisors (see below), whose sum is σ = 63248327633920. Its totient is φ = 23520904208640.

The previous prime is 41334144303323. The next prime is 41334144303341. The reversal of 41334144303333 is 33330344143314.

It is a happy number.

It is not a de Polignac number, because 41334144303333 - 24 = 41334144303317 is a prime.

It is a super-2 number, since 2×413341443033332 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41334144303291 and 41334144303300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41334144303323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264445158 + ... + 264601416.

It is an arithmetic number, because the mean of its divisors is an integer number (1976510238560).

Almost surely, 241334144303333 is an apocalyptic number.

It is an amenable number.

41334144303333 is a deficient number, since it is larger than the sum of its proper divisors (21914183330587).

41334144303333 is a wasteful number, since it uses less digits than its factorization.

41334144303333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208777.

The product of its (nonzero) digits is 559872, while the sum is 39.

Adding to 41334144303333 its reverse (33330344143314), we get a palindrome (74664488446647).

The spelling of 41334144303333 in words is "forty-one trillion, three hundred thirty-four billion, one hundred forty-four million, three hundred three thousand, three hundred thirty-three".

Divisors: 1 3 7 21 241 723 1687 5061 52267 156259 156801 365869 468777 1093813 1097607 3281439 12596347 37658419 37789041 88174429 112975257 263608933 264523287 790826799 8167189153 24501567459 57170324071 171510972213 1968292585873 5904877757619 13778048101111 41334144303333