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4142202435 = 335715727919
BaseRepresentation
bin1111011011100100…
…1111111001000011
3101200200021200112000
43312321033321003
531440400434220
61523005435043
7204435065640
oct36671177103
911620250460
104142202435
11183618aaa8
1297726ba83
13510220377
142b41acdc7
151939b4390
hexf6e4fe43

4142202435 has 64 divisors (see below), whose sum is σ = 8469811200. Its totient is φ = 1881449856.

The previous prime is 4142202433. The next prime is 4142202437. The reversal of 4142202435 is 5342022414.

4142202435 is a `hidden beast` number, since 4 + 1 + 4 + 220 + 2 + 435 = 666.

It is an interprime number because it is at equal distance from previous prime (4142202433) and next prime (4142202437).

It is not a de Polignac number, because 4142202435 - 21 = 4142202433 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4142202399 and 4142202408.

It is not an unprimeable number, because it can be changed into a prime (4142202433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134406 + ... + 162324.

It is an arithmetic number, because the mean of its divisors is an integer number (132340800).

Almost surely, 24142202435 is an apocalyptic number.

4142202435 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4142202435 is an abundant number, since it is smaller than the sum of its proper divisors (4327608765).

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

4142202435 is a wasteful number, since it uses less digits than its factorization.

4142202435 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28097 (or 28091 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4142202435 is about 64359.9443365204. The cubic root of 4142202435 is about 1605.9934630247.

Adding to 4142202435 its reverse (5342022414), we get a palindrome (9484224849).

The spelling of 4142202435 in words is "four billion, one hundred forty-two million, two hundred two thousand, four hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 157 189 315 471 785 945 1099 1413 2355 3297 4239 5495 7065 9891 16485 21195 27919 29673 49455 83757 139595 148365 195433 251271 418785 586299 753813 977165 1256355 1758897 2931495 3769065 4383283 5276691 8794485 13149849 21916415 26383455 30682981 39449547 65749245 92048943 118348641 153414905 197247735 276146829 460244715 591743205 828440487 1380734145 4142202435