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2141524017 = 3217102113709
BaseRepresentation
bin111111110100101…
…0001000000110001
312112020122200200100
41333221101000301
513341212232032
6552300143013
7104032440153
oct17751210061
95466580610
102141524017
119a991a766
124b9237a69
13281899299
141645b8ad3
15c801a97c
hex7fa51031

2141524017 has 24 divisors (see below), whose sum is σ = 3278719080. Its totient is φ = 1342287360.

The previous prime is 2141523929. The next prime is 2141524037. The reversal of 2141524017 is 7104251412.

2141524017 is a `hidden beast` number, since 2 + 1 + 415 + 240 + 1 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1070663841 + 1070860176 = 32721^2 + 32724^2 .

It is not a de Polignac number, because 2141524017 - 211 = 2141521969 is a prime.

It is a super-2 number, since 2×21415240172 = 9172250230775632578, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2141524037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149359 + ... + 163067.

It is an arithmetic number, because the mean of its divisors is an integer number (136613295).

Almost surely, 22141524017 is an apocalyptic number.

It is an amenable number.

2141524017 is a deficient number, since it is larger than the sum of its proper divisors (1137195063).

2141524017 is a wasteful number, since it uses less digits than its factorization.

2141524017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14753 (or 14750 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2141524017 is about 46276.6033433743. The cubic root of 2141524017 is about 1288.9645792717.

Adding to 2141524017 its reverse (7104251412), we get a palindrome (9245775429).

The spelling of 2141524017 in words is "two billion, one hundred forty-one million, five hundred twenty-four thousand, seventeen".

Divisors: 1 3 9 17 51 153 1021 3063 9189 13709 17357 41127 52071 123381 156213 233053 699159 2097477 13996889 41990667 125972001 237947113 713841339 2141524017