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405540432341 = 11223314384437
BaseRepresentation
bin1011110011011000001…
…01111110100111010101
31102202202210212111100122
411321230011332213111
523121021322313331
6510145214521325
741204445540662
oct5715405764725
91382683774318
10405540432341
11146a97002200
126671a806245
132c31c43a585
14158b1d42a69
15a83800317b
hex5e6c17e9d5

405540432341 has 12 divisors (see below), whose sum is σ = 447672479436. Its totient is φ = 367090806720.

The previous prime is 405540432329. The next prime is 405540432347. The reversal of 405540432341 is 143234045504.

It can be written as a sum of positive squares in 2 ways, for example, as 170964883441 + 234575548900 = 413479^2 + 484330^2 .

It is not a de Polignac number, because 405540432341 - 214 = 405540415957 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405540432347) 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 11 ways as a sum of consecutive naturals, for example, 7164026 + ... + 7220411.

It is an arithmetic number, because the mean of its divisors is an integer number (37306039953).

Almost surely, 2405540432341 is an apocalyptic number.

It is an amenable number.

405540432341 is a deficient number, since it is larger than the sum of its proper divisors (42132047095).

405540432341 is a wasteful number, since it uses less digits than its factorization.

405540432341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384692 (or 14384681 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 405540432341 its reverse (143234045504), we get a palindrome (548774477845).

The spelling of 405540432341 in words is "four hundred five billion, five hundred forty million, four hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 11 121 233 2563 28193 14384437 158228807 1740516877 3351573821 36867312031 405540432341