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414153474109 is a prime number
BaseRepresentation
bin1100000011011010111…
…10001000000000111101
31110121000001211100110121
412001231132020000331
523241141242132414
6514132014134541
741631052305634
oct6015536100075
91417001740417
10414153474109
1114a706925a41
12683231b1451
13300929944ab
141608bbca51b
15ab8e245724
hex606d78803d

414153474109 has 2 divisors, whose sum is σ = 414153474110. Its totient is φ = 414153474108.

The previous prime is 414153474067. The next prime is 414153474151. The reversal of 414153474109 is 901474351414.

It is a balanced prime because it is at equal distance from previous prime (414153474067) and next prime (414153474151).

It can be written as a sum of positive squares in only one way, i.e., 413123706009 + 1029768100 = 642747^2 + 32090^2 .

It is a cyclic number.

It is not a de Polignac number, because 414153474109 - 215 = 414153441341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414153474509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207076737054 + 207076737055.

It is an arithmetic number, because the mean of its divisors is an integer number (207076737055).

Almost surely, 2414153474109 is an apocalyptic number.

It is an amenable number.

414153474109 is a deficient number, since it is larger than the sum of its proper divisors (1).

414153474109 is an equidigital number, since it uses as much as digits as its factorization.

414153474109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 414153474109 in words is "four hundred fourteen billion, one hundred fifty-three million, four hundred seventy-four thousand, one hundred nine".