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407009114093 is a prime number
BaseRepresentation
bin1011110110000111010…
…00100011011111101101
31102220120011110020222002
411323003220203133231
523132023313122333
6510551041502045
741256031246661
oct5730350433755
91386504406862
10407009114093
1114768004157a
1266a6a641925
132c4c47b582a
14159b10128a1
15a8c1e130e8
hex5ec3a237ed

407009114093 has 2 divisors, whose sum is σ = 407009114094. Its totient is φ = 407009114092.

The previous prime is 407009114087. The next prime is 407009114219. The reversal of 407009114093 is 390411900704.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 373862542249 + 33146571844 = 611443^2 + 182062^2 .

It is a cyclic number.

It is not a de Polignac number, because 407009114093 - 220 = 407008065517 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (407009114053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 203504557046 + 203504557047.

It is an arithmetic number, because the mean of its divisors is an integer number (203504557047).

Almost surely, 2407009114093 is an apocalyptic number.

It is an amenable number.

407009114093 is a deficient number, since it is larger than the sum of its proper divisors (1).

407009114093 is an equidigital number, since it uses as much as digits as its factorization.

407009114093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 407009114093 in words is "four hundred seven billion, nine million, one hundred fourteen thousand, ninety-three".