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4112136405 = 325137029293
BaseRepresentation
bin1111010100011010…
…0011100011010101
3101121120201011200100
43311012203203111
531410201331110
61520013204313
7203621403606
oct36506434325
911546634610
104112136405
111820214a43
12969190699
13506c24310
142b01c3dad
15191025bc0
hexf51a38d5

4112136405 has 24 divisors (see below), whose sum is σ = 7675989048. Its totient is φ = 2024436096.

The previous prime is 4112136383. The next prime is 4112136437. The reversal of 4112136405 is 5046312114.

It is a happy number.

4112136405 is a `hidden beast` number, since 4 + 1 + 1 + 2 + 13 + 640 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 576288036 + 3535848369 = 24006^2 + 59463^2 .

It is not a de Polignac number, because 4112136405 - 213 = 4112128213 is a prime.

It is a super-3 number, since 3×41121364053 (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 in 23 ways as a sum of consecutive naturals, for example, 3514062 + ... + 3515231.

It is an arithmetic number, because the mean of its divisors is an integer number (319832877).

Almost surely, 24112136405 is an apocalyptic number.

4112136405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4112136405 is a deficient number, since it is larger than the sum of its proper divisors (3563852643).

4112136405 is a wasteful number, since it uses less digits than its factorization.

4112136405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7029317 (or 7029314 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4112136405 is about 64125.9417474707. The cubic root of 4112136405 is about 1602.0983413004.

Adding to 4112136405 its reverse (5046312114), we get a palindrome (9158448519).

The spelling of 4112136405 in words is "four billion, one hundred twelve million, one hundred thirty-six thousand, four hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 7029293 21087879 35146465 63263637 91380809 105439395 274142427 316318185 456904045 822427281 1370712135 4112136405