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4042134021320 = 235126138011841
BaseRepresentation
bin111010110100100001111…
…101100110010011001000
3112022102110021021202100022
4322310201331212103020
51012211242302140240
612332533012200012
7565014564165323
oct72644175462310
915272407252308
104042134021320
11131929430549a
12553486609008
1323423001b2b5
14dd8d70d17ba
1570229ec99b5
hex3ad21f664c8

4042134021320 has 32 divisors (see below), whose sum is σ = 9095523748920. Its totient is φ = 1616725217280.

The previous prime is 4042134021307. The next prime is 4042134021361. The reversal of 4042134021320 is 231204312404.

4042134021320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3858482347204 + 183651674116 = 1964302^2 + 428546^2 .

It is a super-3 number, since 3×40421340213203 (a number of 39 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4042134021320.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3501401 + ... + 4510440.

Almost surely, 24042134021320 is an apocalyptic number.

4042134021320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042134021320 is an abundant number, since it is smaller than the sum of its proper divisors (5053389727600).

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

4042134021320 is a wasteful number, since it uses less digits than its factorization.

4042134021320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8024465 (or 8024461 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 4042134021320 its reverse (231204312404), we get a palindrome (4273338333724).

The spelling of 4042134021320 in words is "four trillion, forty-two billion, one hundred thirty-four million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 12613 25226 50452 63065 100904 126130 252260 504520 8011841 16023682 32047364 40059205 64094728 80118410 160236820 320473640 101053350533 202106701066 404213402132 505266752665 808426804264 1010533505330 2021067010660 4042134021320