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43414042113405 = 32529238571394453
BaseRepresentation
bin10011101111100000111101…
…00011101111010101111101
312200201100020020110221001200
421313300132203233111331
521142243424240112110
6232200045143130113
712100363302150015
oct1167603643572575
9180640206427050
1043414042113405
1112918878a75847
124a51b22a43939
131b2bc0799b332
14aa1372490c45
15504473a0a6c0
hex277c1e8ef57d

43414042113405 has 48 divisors (see below), whose sum is σ = 77849187464880. Its totient is φ = 22354783524864.

The previous prime is 43414042113371. The next prime is 43414042113427. The reversal of 43414042113405 is 50431124041434.

It is a happy number.

43414042113405 is a `hidden beast` number, since 4 + 3 + 4 + 1 + 404 + 211 + 34 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5278501655001 + 38135540458404 = 2297499^2 + 6175398^2 .

It is not a de Polignac number, because 43414042113405 - 29 = 43414042112893 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 43414042113405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30436159 + ... + 31830611.

It is an arithmetic number, because the mean of its divisors is an integer number (1621858072185).

Almost surely, 243414042113405 is an apocalyptic number.

43414042113405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

43414042113405 is a deficient number, since it is larger than the sum of its proper divisors (34435145351475).

43414042113405 is a wasteful number, since it uses less digits than its factorization.

43414042113405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418350 (or 1418347 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 43414042113405 its reverse (50431124041434), we get a palindrome (93845166154839).

The spelling of 43414042113405 in words is "forty-three trillion, four hundred fourteen billion, forty-two million, one hundred thirteen thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 23857 71571 119285 214713 357855 691853 1073565 1394453 2075559 3459265 4183359 6226677 6972265 10377795 12550077 20916795 31133385 40439137 62750385 121317411 202195685 363952233 606587055 1819761165 33267465221 99802395663 166337326105 299407186989 499011978315 964756491409 1497035934945 2894269474227 4823782457045 8682808422681 14471347371135 43414042113405