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3035334012841 = 138612
BaseRepresentation
bin101100001010111000000…
…000010110111110101001
3101202011201122110002212101
4230022320000112332221
5344212331001402331
610242225130013401
7432203256260554
oct54127000267651
911664648402771
103035334012841
11a70306a12589
12410327277261
13190300000000
14a6ca790b69b
1553e517a1061
hex2c2b8016fa9

3035334012841 has 27 divisors (see below), whose sum is σ = 3343068427023. Its totient is φ = 2755914866640.

The previous prime is 3035334012839. The next prime is 3035334012853. The reversal of 3035334012841 is 1482104335303.

The square root of 3035334012841 is 1742221.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 2927421762841 + 107912250000 = 1710971^2 + 328500^2 .

It is not a de Polignac number, because 3035334012841 - 21 = 3035334012839 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3035334012841.

It is not an unprimeable number, because it can be changed into a prime (3035334012811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 49759573951 + ... + 49759574011.

It is an arithmetic number, because the mean of its divisors is an integer number (123817349149).

Almost surely, 23035334012841 is an apocalyptic number.

3035334012841 is the 1742221-st square number.

3035334012841 is the 871111-st centered octagonal number.

It is an amenable number.

3035334012841 is a deficient number, since it is larger than the sum of its proper divisors (307734414182).

3035334012841 is an frugal number, since it uses more digits than its factorization.

3035334012841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

The spelling of 3035334012841 in words is "three trillion, thirty-five billion, three hundred thirty-four million, twelve thousand, eight hundred forty-one".

Divisors: 1 13 61 169 793 2197 3721 10309 28561 48373 134017 371293 628849 1742221 4826809 8175037 22648873 62748517 106275481 294435349 815730721 1381581253 3827659537 17960556289 49759573981 233487231757 3035334012841