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12041434305 = 3251715740437
BaseRepresentation
bin10110011011011100…
…11011010011000001
31011002012002020112100
423031232123103001
5144130101344210
65310505421013
7604253334315
oct131556332301
934065066470
1012041434305
11511a0918aa
12240079a769
13119b911174
14823325b45
154a72075c0
hex2cdb9b4c1

12041434305 has 24 divisors (see below), whose sum is σ = 22099574952. Its totient is φ = 6044327424.

The previous prime is 12041434289. The next prime is 12041434309. The reversal of 12041434305 is 50343414021.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 549808704 + 11491625601 = 23448^2 + 107199^2 .

It is not a de Polignac number, because 12041434305 - 24 = 12041434289 is a prime.

It is a super-2 number, since 2×120414343052 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12041434309) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7869454 + ... + 7870983.

It is an arithmetic number, because the mean of its divisors is an integer number (920815623).

Almost surely, 212041434305 is an apocalyptic number.

12041434305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12041434305 is a deficient number, since it is larger than the sum of its proper divisors (10058140647).

12041434305 is a wasteful number, since it uses less digits than its factorization.

12041434305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15740465 (or 15740462 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 12041434305 its reverse (50343414021), we get a palindrome (62384848326).

The spelling of 12041434305 in words is "twelve billion, forty-one million, four hundred thirty-four thousand, three hundred five".

Divisors: 1 3 5 9 15 17 45 51 85 153 255 765 15740437 47221311 78702185 141663933 236106555 267587429 708319665 802762287 1337937145 2408286861 4013811435 12041434305