Search a number
-
+
41131004243300 = 2252411310042433
BaseRepresentation
bin10010101101000100011101…
…11001011010110101100100
312101122002022101221112020122
421112202032321122311210
520342342244041241200
6223251153354221112
711443421425353116
oct1126421671326544
9171562271845218
1041131004243300
1112118619680a34
12474356a124798
1319c48387cc51a
14a22a735213b6
154b4da2565385
hex25688ee5ad64

41131004243300 has 18 divisors (see below), whose sum is σ = 89254279208178. Its totient is φ = 16452401697280.

The previous prime is 41131004243299. The next prime is 41131004243309. The reversal of 41131004243300 is 334240013114.

It is a happy number.

41131004243300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 402382160896 + 40728622082404 = 634336^2 + 6381898^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 41131004243300.

It is not an unprimeable number, because it can be changed into a prime (41131004243309) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 205655021117 + ... + 205655021316.

It is an arithmetic number, because the mean of its divisors is an integer number (4958571067121).

Almost surely, 241131004243300 is an apocalyptic number.

It is an amenable number.

41131004243300 is an abundant number, since it is smaller than the sum of its proper divisors (48123274964878).

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

41131004243300 is a wasteful number, since it uses less digits than its factorization.

41131004243300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411310042447 (or 411310042440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 41131004243300 its reverse (334240013114), we get a palindrome (41465244256414).

The spelling of 41131004243300 in words is "forty-one trillion, one hundred thirty-one billion, four million, two hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 411310042433 822620084866 1645240169732 2056550212165 4113100424330 8226200848660 10282751060825 20565502121650 41131004243300