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414012152713 is a prime number
BaseRepresentation
bin1100000011001010000…
…11000001101110001001
31110120122012220110221211
412001211003001232021
523240344102341323
6514110005133121
741624415143125
oct6014503015611
91416565813854
10414012152713
1114a6440810a5
12682a39ba1a1
133006c613873
1416077120585
15ab81b2c70d
hex60650c1b89

414012152713 has 2 divisors, whose sum is σ = 414012152714. Its totient is φ = 414012152712.

The previous prime is 414012152711. The next prime is 414012152747. The reversal of 414012152713 is 317251210414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 373946926144 + 40065226569 = 611512^2 + 200163^2 .

It is a cyclic number.

It is not a de Polignac number, because 414012152713 - 21 = 414012152711 is a prime.

Together with 414012152711, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (414012152711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006076356 + 207006076357.

It is an arithmetic number, because the mean of its divisors is an integer number (207006076357).

Almost surely, 2414012152713 is an apocalyptic number.

It is an amenable number.

414012152713 is a deficient number, since it is larger than the sum of its proper divisors (1).

414012152713 is an equidigital number, since it uses as much as digits as its factorization.

414012152713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The spelling of 414012152713 in words is "four hundred fourteen billion, twelve million, one hundred fifty-two thousand, seven hundred thirteen".