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405411641 is a prime number
BaseRepresentation
bin11000001010100…
…001011100111001
31001020212001012222
4120022201130321
51312241133031
6104121213425
713021641065
oct3012413471
91036761188
10405411641
11198931848
12b3931275
1365cb785b
143bbb2aa5
15258d1e7b
hex182a1739

405411641 has 2 divisors, whose sum is σ = 405411642. Its totient is φ = 405411640.

The previous prime is 405411599. The next prime is 405411653. The reversal of 405411641 is 146114504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 392198416 + 13213225 = 19804^2 + 3635^2 .

It is a cyclic number.

It is not a de Polignac number, because 405411641 - 26 = 405411577 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 405411641.

It is not a weakly prime, because it can be changed into another prime (405411691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202705820 + 202705821.

It is an arithmetic number, because the mean of its divisors is an integer number (202705821).

Almost surely, 2405411641 is an apocalyptic number.

It is an amenable number.

405411641 is a deficient number, since it is larger than the sum of its proper divisors (1).

405411641 is an equidigital number, since it uses as much as digits as its factorization.

405411641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 405411641 is about 20134.8365029369. The cubic root of 405411641 is about 740.1142026082.

The spelling of 405411641 in words is "four hundred five million, four hundred eleven thousand, six hundred forty-one".