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405442432105 = 589911106589
BaseRepresentation
bin1011110011001100100…
…00001000110001101001
31102202111222110120022021
411321212100020301221
523120321230311410
6510131354224441
741202145545004
oct5714620106151
91382458416267
10405442432105
11146a46757177
12666b1a25121
132c305047079
14158a2d1253b
15a82e5e5eda
hex5e66408c69

405442432105 has 8 divisors (see below), whose sum is σ = 491997558600. Its totient is φ = 320709518976.

The previous prime is 405442432103. The next prime is 405442432133. The reversal of 405442432105 is 501234244504.

It can be written as a sum of positive squares in 4 ways, for example, as 1846506841 + 403595925264 = 42971^2 + 635292^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 405442432105 - 21 = 405442432103 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405442432103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 455552850 + ... + 455553739.

It is an arithmetic number, because the mean of its divisors is an integer number (61499694825).

Almost surely, 2405442432105 is an apocalyptic number.

It is an amenable number.

405442432105 is a deficient number, since it is larger than the sum of its proper divisors (86555126495).

405442432105 is an equidigital number, since it uses as much as digits as its factorization.

405442432105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911106683.

The product of its (nonzero) digits is 76800, while the sum is 34.

Adding to 405442432105 its reverse (501234244504), we get a palindrome (906676676609).

The spelling of 405442432105 in words is "four hundred five billion, four hundred forty-two million, four hundred thirty-two thousand, one hundred five".

Divisors: 1 5 89 445 911106589 4555532945 81088486421 405442432105