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41050144105014 = 2311838243909091
BaseRepresentation
bin10010101010101101110110…
…10000011110001000110110
312101100100121010022220100010
421111112323100132020312
520340031143342330024
6223150101553001050
711434526560463532
oct1125267320361066
9171310533286303
1041050144105014
11120972a5199270
12472b962253186
1319ba020419955
14a1cba2444bc2
154b2c1d7e0b29
hex2555bb41e236

41050144105014 has 64 divisors (see below), whose sum is σ = 90654130603008. Its totient is φ = 12288060439200.

The previous prime is 41050144104953. The next prime is 41050144105039.

41050144105014 is nontrivially palindromic in base 10.

41050144105014 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-3 number, since 3×410501441050143 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 44700609 + ... + 45609699.

It is an arithmetic number, because the mean of its divisors is an integer number (1416470790672).

Almost surely, 241050144105014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41050144105014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45327065301504).

41050144105014 is an abundant number, since it is smaller than the sum of its proper divisors (49603986497994).

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

41050144105014 is a wasteful number, since it uses less digits than its factorization.

41050144105014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917433.

The product of its (nonzero) digits is 6400, while the sum is 30.

The spelling of 41050144105014 in words is "forty-one trillion, fifty billion, one hundred forty-four million, one hundred five thousand, fourteen".

Divisors: 1 2 3 6 11 22 33 66 83 166 249 498 913 1826 2739 5478 8243 16486 24729 49458 90673 181346 272019 544038 684169 909091 1368338 1818182 2052507 2727273 4105014 5454546 7525859 10000001 15051718 20000002 22577577 30000003 45155154 60000006 75454553 150909106 226363659 452727318 830000083 1660000166 2490000249 4980000498 7493637113 14987274226 22480911339 44961822678 82430008243 164860016486 247290024729 494580049458 621971880379 1243943760758 1865915641137 3731831282274 6841690684169 13683381368338 20525072052507 41050144105014