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414276964133 is a prime number
BaseRepresentation
bin1100000011101001101…
…01001100111100100101
31110121022200012021221012
412001310311030330211
523241414400323013
6514152145032005
741634112044104
oct6016465147445
91417280167835
10414276964133
1114a76a60090a
1268358625605
13300b2440b06
14160a037403b
15ab99eda1a8
hex6074d4cf25

414276964133 has 2 divisors, whose sum is σ = 414276964134. Its totient is φ = 414276964132.

The previous prime is 414276964103. The next prime is 414276964151. The reversal of 414276964133 is 331469672414.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312836625124 + 101440339009 = 559318^2 + 318497^2 .

It is a cyclic number.

It is not a de Polignac number, because 414276964133 - 228 = 414008528677 is a prime.

It is a super-2 number, since 2×4142769641332 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414276964103) 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, 207138482066 + 207138482067.

It is an arithmetic number, because the mean of its divisors is an integer number (207138482067).

Almost surely, 2414276964133 is an apocalyptic number.

It is an amenable number.

414276964133 is a deficient number, since it is larger than the sum of its proper divisors (1).

414276964133 is an equidigital number, since it uses as much as digits as its factorization.

414276964133 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 2612736, while the sum is 50.

The spelling of 414276964133 in words is "four hundred fourteen billion, two hundred seventy-six million, nine hundred sixty-four thousand, one hundred thirty-three".