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41224323411304 = 231123110918365869
BaseRepresentation
bin10010101111110010010010…
…01001110010110101101000
312101222000011222102102220021
421113321021021302311220
520400404403243130204
6223402105344010224
711453234110244245
oct1127711111626550
9171860158372807
1041224323411304
1112154156939080
124759672600974
131a0058b185627
14a273a71885cc
154b7514ece154
hex257e49272d68

41224323411304 has 64 divisors (see below), whose sum is σ = 88068019824000. Its totient is φ = 17907455934720.

The previous prime is 41224323411247. The next prime is 41224323411317. The reversal of 41224323411304 is 40311432342214.

41224323411304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 41224323411304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6938319 + ... + 11427550.

It is an arithmetic number, because the mean of its divisors is an integer number (1376062809750).

Almost surely, 241224323411304 is an apocalyptic number.

41224323411304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

41224323411304 is an abundant number, since it is smaller than the sum of its proper divisors (46843696412696).

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

41224323411304 is a wasteful number, since it uses less digits than its factorization.

41224323411304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18367018 (or 18367014 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 41224323411304 its reverse (40311432342214), we get a palindrome (81535755753518).

The spelling of 41224323411304 in words is "forty-one trillion, two hundred twenty-four billion, three hundred twenty-three million, four hundred eleven thousand, three hundred four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 1109 2024 2218 4436 8872 12199 24398 25507 48796 51014 97592 102028 204056 280577 561154 1122308 2244616 18365869 36731738 73463476 146926952 202024559 404049118 422414987 808098236 844829974 1616196472 1689659948 3379319896 4646564857 9293129714 18586259428 20367748721 37172518856 40735497442 81470994884 162941989768 224045235931 448090471862 468458220583 896180943724 936916441166 1792361887448 1873832882332 3747665764664 5153040426413 10306080852826 20612161705652 41224323411304