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12041241344 = 28116616469
BaseRepresentation
bin10110011011011011…
…01100001100000000
31011002011201102211122
423031231230030000
5144130024210334
65310501331412
7604251601616
oct131555541400
934064642748
1012041241344
115119a6a930
122400706b68
13119b8743a2
148232b56b6
154a71ba32e
hex2cdb6c300

12041241344 has 72 divisors (see below), whose sum is σ = 26264214480. Its totient is φ = 5464166400.

The previous prime is 12041241307. The next prime is 12041241361. The reversal of 12041241344 is 44314214021.

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, 1858142 + ... + 1864610.

Almost surely, 212041241344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12041241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13132107240).

12041241344 is an abundant number, since it is smaller than the sum of its proper divisors (14222973136).

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

12041241344 is an equidigital number, since it uses as much as digits as its factorization.

12041241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7157 (or 7143 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 12041241344 its reverse (44314214021), we get a palindrome (56355455365).

The spelling of 12041241344 in words is "twelve billion, forty-one million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 661 704 1322 1408 2644 2816 5288 6469 7271 10576 12938 14542 21152 25876 29084 42304 51752 58168 71159 84608 103504 116336 142318 169216 207008 232672 284636 414016 465344 569272 828032 930688 1138544 1656064 1861376 2277088 4276009 4554176 8552018 9108352 17104036 18216704 34208072 47036099 68416144 94072198 136832288 188144396 273664576 376288792 547329152 752577584 1094658304 1505155168 3010310336 6020620672 12041241344