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406744343441 is a prime number
BaseRepresentation
bin1011110101100111101…
…10100010001110010001
31102212212201020111220122
411322303312202032101
523131003022442231
6510504502520025
741246334605612
oct5726366421621
91385781214818
10406744343441
1114755463a457
12669b5a36015
132c4819a0cc7
1415987badc09
15a8a8a6277b
hex5eb3da2391

406744343441 has 2 divisors, whose sum is σ = 406744343442. Its totient is φ = 406744343440.

The previous prime is 406744343419. The next prime is 406744343461. The reversal of 406744343441 is 144343447604.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 372217129216 + 34527214225 = 610096^2 + 185815^2 .

It is a cyclic number.

It is not a de Polignac number, because 406744343441 - 218 = 406744081297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 406744343392 and 406744343401.

It is not a weakly prime, because it can be changed into another prime (406744343461) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203372171720 + 203372171721.

It is an arithmetic number, because the mean of its divisors is an integer number (203372171721).

Almost surely, 2406744343441 is an apocalyptic number.

It is an amenable number.

406744343441 is a deficient number, since it is larger than the sum of its proper divisors (1).

406744343441 is an equidigital number, since it uses as much as digits as its factorization.

406744343441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1548288, while the sum is 44.

The spelling of 406744343441 in words is "four hundred six billion, seven hundred forty-four million, three hundred forty-three thousand, four hundred forty-one".