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414013201289 is a prime number
BaseRepresentation
bin1100000011001010001…
…11000001101110001001
31110120122021212202022222
412001211013001232021
523240344334420124
6514110043423425
741624430101162
oct6014507015611
91416567782288
10414013201289
1114a644727996
12682a4224b75
133006c8bcc1c
1416077314769
15ab81c8825e
hex60651c1b89

414013201289 has 2 divisors, whose sum is σ = 414013201290. Its totient is φ = 414013201288.

The previous prime is 414013201271. The next prime is 414013201313. The reversal of 414013201289 is 982102310414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 210717721600 + 203295479689 = 459040^2 + 450883^2 .

It is a cyclic number.

It is not a de Polignac number, because 414013201289 - 220 = 414012152713 is a prime.

It is not a weakly prime, because it can be changed into another prime (414013281289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207006600644 + 207006600645.

It is an arithmetic number, because the mean of its divisors is an integer number (207006600645).

Almost surely, 2414013201289 is an apocalyptic number.

It is an amenable number.

414013201289 is a deficient number, since it is larger than the sum of its proper divisors (1).

414013201289 is an equidigital number, since it uses as much as digits as its factorization.

414013201289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 35.

The spelling of 414013201289 in words is "four hundred fourteen billion, thirteen million, two hundred one thousand, two hundred eighty-nine".