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405431206049 is a prime number
BaseRepresentation
bin1011110011001011001…
…01010100000010100001
31102202111012100020001102
411321211211110002201
523120310342043144
6510130313444145
741201651250662
oct5714545240241
91382435306042
10405431206049
11146a40389941
12666aa110655
132c30291642c
14158a162d369
15a82d629b4e
hex5e659540a1

405431206049 has 2 divisors, whose sum is σ = 405431206050. Its totient is φ = 405431206048.

The previous prime is 405431205983. The next prime is 405431206073. The reversal of 405431206049 is 940602134504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 366911255824 + 38519950225 = 605732^2 + 196265^2 .

It is a cyclic number.

It is not a de Polignac number, because 405431206049 - 212 = 405431201953 is a prime.

It is not a weakly prime, because it can be changed into another prime (405431206099) 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 as a sum of consecutive naturals, namely, 202715603024 + 202715603025.

It is an arithmetic number, because the mean of its divisors is an integer number (202715603025).

Almost surely, 2405431206049 is an apocalyptic number.

It is an amenable number.

405431206049 is a deficient number, since it is larger than the sum of its proper divisors (1).

405431206049 is an equidigital number, since it uses as much as digits as its factorization.

405431206049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 405431206049 in words is "four hundred five billion, four hundred thirty-one million, two hundred six thousand, forty-nine".