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2414073141 = 3224110491061
BaseRepresentation
bin1000111111100011…
…1101010100110101
320020020111121210100
42033320331110311
514421000320031
61035313544313
7113552166054
oct21770752465
96206447710
102414073141
111029754977
12574575099
132c61a545c
1418c88439b
15e1e05de6
hex8fe3d535

2414073141 has 24 divisors (see below), whose sum is σ = 3508104600. Its totient is φ = 1599667200.

The previous prime is 2414073119. The next prime is 2414073161. The reversal of 2414073141 is 1413704142.

2414073141 is a `hidden beast` number, since 241 + 407 + 3 + 14 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1346156100 + 1067917041 = 36690^2 + 32679^2 .

It is not a de Polignac number, because 2414073141 - 213 = 2414064949 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2414073161) 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 in 23 ways as a sum of consecutive naturals, for example, 2274751 + ... + 2275811.

It is an arithmetic number, because the mean of its divisors is an integer number (146171025).

Almost surely, 22414073141 is an apocalyptic number.

It is an amenable number.

2414073141 is a deficient number, since it is larger than the sum of its proper divisors (1094031459).

2414073141 is a wasteful number, since it uses less digits than its factorization.

2414073141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2414073141 is about 49133.2183049309. The cubic root of 2414073141 is about 1341.4777528558.

Adding to 2414073141 its reverse (1413704142), we get a palindrome (3827777283).

The spelling of 2414073141 in words is "two billion, four hundred fourteen million, seventy-three thousand, one hundred forty-one".

Divisors: 1 3 9 241 723 1049 1061 2169 3147 3183 9441 9549 252809 255701 758427 767103 1112989 2275281 2301309 3338967 10016901 268230349 804691047 2414073141