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414330379453 is a prime number
BaseRepresentation
bin1100000011110000000…
…00111101110010111101
31110121110101201001222101
412001320000331302331
523242022034120303
6514201333545101
741635331054644
oct6017000756275
91417411631871
10414330379453
1114a797774601
12683724a5191
13300c0523903
14160a74ba35b
15ab9ea3bd1d
hex607803dcbd

414330379453 has 2 divisors, whose sum is σ = 414330379454. Its totient is φ = 414330379452.

The previous prime is 414330379433. The next prime is 414330379469. The reversal of 414330379453 is 354973033414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 383164714009 + 31165665444 = 619003^2 + 176538^2 .

It is a cyclic number.

It is not a de Polignac number, because 414330379453 - 213 = 414330371261 is a prime.

It is a super-3 number, since 3×4143303794533 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414330379433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207165189726 + 207165189727.

It is an arithmetic number, because the mean of its divisors is an integer number (207165189727).

Almost surely, 2414330379453 is an apocalyptic number.

It is an amenable number.

414330379453 is a deficient number, since it is larger than the sum of its proper divisors (1).

414330379453 is an equidigital number, since it uses as much as digits as its factorization.

414330379453 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1632960, while the sum is 46.

The spelling of 414330379453 in words is "four hundred fourteen billion, three hundred thirty million, three hundred seventy-nine thousand, four hundred fifty-three".