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414314103 = 37139141937
BaseRepresentation
bin11000101100011…
…110111001110111
31001212121100002210
4120230132321313
51322031022403
6105040104503
713160416560
oct3054367167
91055540083
10414314103
111a2962355
12b6905133
1367ab3998
143d04d167
152658eb03
hex18b1ee77

414314103 has 16 divisors (see below), whose sum is σ = 635882240. Its totient is φ = 235046016.

The previous prime is 414314077. The next prime is 414314113. The reversal of 414314103 is 301413414.

It is not a de Polignac number, because 414314103 - 29 = 414313591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 414314103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414314113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68050 + ... + 73887.

It is an arithmetic number, because the mean of its divisors is an integer number (39742640).

Almost surely, 2414314103 is an apocalyptic number.

414314103 is a deficient number, since it is larger than the sum of its proper divisors (221568137).

414314103 is a wasteful number, since it uses less digits than its factorization.

414314103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142086.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 414314103 is about 20354.7071460142. The cubic root of 414314103 is about 745.4924318229.

Adding to 414314103 its reverse (301413414), we get a palindrome (715727517).

The spelling of 414314103 in words is "four hundred fourteen million, three hundred fourteen thousand, one hundred three".

Divisors: 1 3 7 21 139 417 973 2919 141937 425811 993559 2980677 19729243 59187729 138104701 414314103