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414024104393 is a prime number
BaseRepresentation
bin1100000011001011100…
…00100111100111001001
31110120200001101200120122
412001211300213213021
523240410132320033
6514111113233025
741624621551514
oct6014560474711
91416601350518
10414024104393
1114a64a8a4619
12682a7a02775
1330071c39873
1416078951d7b
15ab82bdda98
hex6065c279c9

414024104393 has 2 divisors, whose sum is σ = 414024104394. Its totient is φ = 414024104392.

The previous prime is 414024104369. The next prime is 414024104413. The reversal of 414024104393 is 393401420414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 345258482569 + 68765621824 = 587587^2 + 262232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-414024104393 is a prime.

It is not a weakly prime, because it can be changed into another prime (414024104353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207012052196 + 207012052197.

It is an arithmetic number, because the mean of its divisors is an integer number (207012052197).

Almost surely, 2414024104393 is an apocalyptic number.

It is an amenable number.

414024104393 is a deficient number, since it is larger than the sum of its proper divisors (1).

414024104393 is an equidigital number, since it uses as much as digits as its factorization.

414024104393 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 41472, while the sum is 35.

The spelling of 414024104393 in words is "four hundred fourteen billion, twenty-four million, one hundred four thousand, three hundred ninety-three".