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405071041 is a prime number
BaseRepresentation
bin11000001001001…
…110010011000001
31001020012202000011
4120021032103001
51312144233131
6104110024521
713016022064
oct3011162301
91036182004
10405071041
11198719961
12b37a8141
1365bc880b
143bb248db
15258660b1
hex1824e4c1

405071041 has 2 divisors, whose sum is σ = 405071042. Its totient is φ = 405071040.

The previous prime is 405071033. The next prime is 405071047. The reversal of 405071041 is 140170504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 353590416 + 51480625 = 18804^2 + 7175^2 .

It is a cyclic number.

It is not a de Polignac number, because 405071041 - 23 = 405071033 is a prime.

It is not a weakly prime, because it can be changed into another prime (405071047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202535520 + 202535521.

It is an arithmetic number, because the mean of its divisors is an integer number (202535521).

Almost surely, 2405071041 is an apocalyptic number.

It is an amenable number.

405071041 is a deficient number, since it is larger than the sum of its proper divisors (1).

405071041 is an equidigital number, since it uses as much as digits as its factorization.

405071041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 405071041 is about 20126.3767479395. The cubic root of 405071041 is about 739.9068795655.

The spelling of 405071041 in words is "four hundred five million, seventy-one thousand, forty-one".