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404190514349 is a prime number
BaseRepresentation
bin1011110000110111010…
…00011100110010101101
31102122021201202112222222
411320123220130302231
523110240232424344
6505403233245125
741126134454006
oct5703350346255
91378251675888
10404190514349
1114646400a8a6
12664027037a5
132c16587562b
14157c494a1ad
15a7a97525ee
hex5e1ba1ccad

404190514349 has 2 divisors, whose sum is σ = 404190514350. Its totient is φ = 404190514348.

The previous prime is 404190514279. The next prime is 404190514361. The reversal of 404190514349 is 943415091404.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208216078249 + 195974436100 = 456307^2 + 442690^2 .

It is a cyclic number.

It is not a de Polignac number, because 404190514349 - 212 = 404190510253 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404190514369) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202095257174 + 202095257175.

It is an arithmetic number, because the mean of its divisors is an integer number (202095257175).

Almost surely, 2404190514349 is an apocalyptic number.

It is an amenable number.

404190514349 is a deficient number, since it is larger than the sum of its proper divisors (1).

404190514349 is an equidigital number, since it uses as much as digits as its factorization.

404190514349 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 311040, while the sum is 44.

The spelling of 404190514349 in words is "four hundred four billion, one hundred ninety million, five hundred fourteen thousand, three hundred forty-nine".