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414101693 is a prime number
BaseRepresentation
bin11000101011101…
…011000010111101
31001212012112201202
4120223223002331
51322002223233
6105031345245
713155543365
oct3053530275
91055175652
10414101693
111a2827805
12b6822225
1367a3b0b5
143cdd59a5
152654bbe8
hex18aeb0bd

414101693 has 2 divisors, whose sum is σ = 414101694. Its totient is φ = 414101692.

The previous prime is 414101671. The next prime is 414101747. The reversal of 414101693 is 396101414.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 246709849 + 167391844 = 15707^2 + 12938^2 .

It is a cyclic number.

It is not a de Polignac number, because 414101693 - 26 = 414101629 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (414101293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 207050846 + 207050847.

It is an arithmetic number, because the mean of its divisors is an integer number (207050847).

Almost surely, 2414101693 is an apocalyptic number.

It is an amenable number.

414101693 is a deficient number, since it is larger than the sum of its proper divisors (1).

414101693 is an equidigital number, since it uses as much as digits as its factorization.

414101693 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 414101693 is about 20349.4887650771. The cubic root of 414101693 is about 745.3650106908.

The spelling of 414101693 in words is "four hundred fourteen million, one hundred one thousand, six hundred ninety-three".