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41105211840405 = 3252931498246621
BaseRepresentation
bin10010101100010100011011…
…00011001101011110010101
312101112121201212222201000100
421112022031203031132111
520341431433212343110
6223231250145404313
711441516316506166
oct1126121543153625
9171477655881010
1041105211840405
1112108693522989
12473a570339699
1319c228807306b
14a21707c2976d
154b439301bbc0
hex25628d8cd795

41105211840405 has 24 divisors (see below), whose sum is σ = 73705897095480. Its totient is φ = 21166821728640.

The previous prime is 41105211840403. The next prime is 41105211840449. The reversal of 41105211840405 is 50404811250114.

41105211840405 is a `hidden beast` number, since 4 + 1 + 10 + 521 + 1 + 84 + 0 + 40 + 5 = 666.

41105211840405 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 4 ways, for example, as 10477023133329 + 30628188707076 = 3236823^2 + 5534274^2 .

It is not a de Polignac number, because 41105211840405 - 21 = 41105211840403 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 41105211840405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41105211840403) 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 23 ways as a sum of consecutive naturals, for example, 15749122006 + ... + 15749124615.

It is an arithmetic number, because the mean of its divisors is an integer number (3071079045645).

Almost surely, 241105211840405 is an apocalyptic number.

41105211840405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41105211840405 is a deficient number, since it is larger than the sum of its proper divisors (32600685255075).

41105211840405 is a wasteful number, since it uses less digits than its factorization.

41105211840405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31498246661 (or 31498246658 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 41105211840405 in words is "forty-one trillion, one hundred five billion, two hundred eleven million, eight hundred forty thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 31498246621 94494739863 157491233105 283484219589 472473699315 913449152009 1417421097945 2740347456027 4567245760045 8221042368081 13701737280135 41105211840405