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414130054049 is a prime number
BaseRepresentation
bin1100000011011000001…
…00110010001110100001
31110120221102202111011222
412001230010302032201
523241114243212144
6514125420144425
741630346243605
oct6015404621641
91416842674158
10414130054049
1114a6a468a118
1268317398115
133008ab8447a
1416088a51505
15ab8c16b2ee
hex606c1323a1

414130054049 has 2 divisors, whose sum is σ = 414130054050. Its totient is φ = 414130054048.

The previous prime is 414130053971. The next prime is 414130054087. The reversal of 414130054049 is 940450031414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 385818626449 + 28311427600 = 621143^2 + 168260^2 .

It is a cyclic number.

It is not a de Polignac number, because 414130054049 - 212 = 414130049953 is a prime.

It is a super-2 number, since 2×4141300540492 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (414136054049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207065027024 + 207065027025.

It is an arithmetic number, because the mean of its divisors is an integer number (207065027025).

Almost surely, 2414130054049 is an apocalyptic number.

It is an amenable number.

414130054049 is a deficient number, since it is larger than the sum of its proper divisors (1).

414130054049 is an equidigital number, since it uses as much as digits as its factorization.

414130054049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

The spelling of 414130054049 in words is "four hundred fourteen billion, one hundred thirty million, fifty-four thousand, forty-nine".