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404314872193 is a prime number
BaseRepresentation
bin1011110001000110000…
…10110101100110000001
31102122121101202120220001
411320203002311212001
523111014101402233
6505423434520001
741132204465221
oct5704302654601
91378541676801
10404314872193
11146518228781
1266438296001
132c185566c5b
14157d727c081
15a7b561927d
hex5e230b5981

404314872193 has 2 divisors, whose sum is σ = 404314872194. Its totient is φ = 404314872192.

The previous prime is 404314872187. The next prime is 404314872229. The reversal of 404314872193 is 391278413404.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 274709112129 + 129605760064 = 524127^2 + 360008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404314872193 is a prime.

It is not a weakly prime, because it can be changed into another prime (404314872103) 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, 202157436096 + 202157436097.

It is an arithmetic number, because the mean of its divisors is an integer number (202157436097).

Almost surely, 2404314872193 is an apocalyptic number.

It is an amenable number.

404314872193 is a deficient number, since it is larger than the sum of its proper divisors (1).

404314872193 is an equidigital number, since it uses as much as digits as its factorization.

404314872193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 404314872193 in words is "four hundred four billion, three hundred fourteen million, eight hundred seventy-two thousand, one hundred ninety-three".