Search a number
-
+
36201440142 = 2327827334729
BaseRepresentation
bin100001101101110001…
…100010001110001110
310110102221101200222100
4201231301202032032
51043120032041032
624344122255530
72421051110160
oct415561421616
9113387350870
1036201440142
111439785087a
1270239575a6
13354c1007ca
141a75cd2930
15e1d2a297c
hex86dc6238e

36201440142 has 48 divisors (see below), whose sum is σ = 89655078240. Its totient is φ = 10341720576.

The previous prime is 36201440123. The next prime is 36201440227. The reversal of 36201440142 is 24104410263.

It is a happy number.

36201440142 is a `hidden beast` number, since 3 + 6 + 201 + 440 + 14 + 2 = 666.

It is a super-3 number, since 3×362014401423 (a number of 33 digits) contains 333 as substring.

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, 1025034 + ... + 1059762.

It is an arithmetic number, because the mean of its divisors is an integer number (1867814130).

Almost surely, 236201440142 is an apocalyptic number.

36201440142 is an abundant number, since it is smaller than the sum of its proper divisors (53453638098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36201440142 is a wasteful number, since it uses less digits than its factorization.

36201440142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43017 (or 43014 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 36201440142 in words is "thirty-six billion, two hundred one million, four hundred forty thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 8273 16546 24819 34729 49638 57911 69458 74457 104187 115822 148914 173733 208374 243103 312561 347466 486206 521199 625122 729309 1042398 1458618 2187927 4375854 287313017 574626034 861939051 1723878102 2011191119 2585817153 4022382238 5171634306 6033573357 12067146714 18100720071 36201440142