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12444314340321 = 331660727753389
BaseRepresentation
bin1011010100010110101011…
…1011111000101111100001
31122001122221122220012121000
42311011222323320233201
53112341423432342241
642244501124222213
72423033465415003
oct265055273705741
948048848805530
1012444314340321
113a68671027a56
12148b95b83a969
136c3655b80c76
1431044532a373
15168a89e68eb6
hexb516aef8be1

12444314340321 has 16 divisors (see below), whose sum is σ = 18437132044800. Its totient is φ = 8295709700304.

The previous prime is 12444314340317. The next prime is 12444314340323. The reversal of 12444314340321 is 12304341344421.

12444314340321 is a `hidden beast` number, since 1 + 2 + 4 + 443 + 143 + 40 + 32 + 1 = 666.

It is not a de Polignac number, because 12444314340321 - 22 = 12444314340317 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12444314340323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13428306 + ... + 14325083.

It is an arithmetic number, because the mean of its divisors is an integer number (1152320752800).

Almost surely, 212444314340321 is an apocalyptic number.

It is an amenable number.

12444314340321 is a deficient number, since it is larger than the sum of its proper divisors (5992817704479).

12444314340321 is a wasteful number, since it uses less digits than its factorization.

12444314340321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27770005 (or 27769999 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 12444314340321 its reverse (12304341344421), we get a palindrome (24748655684742).

The spelling of 12444314340321 in words is "twelve trillion, four hundred forty-four billion, three hundred fourteen million, three hundred forty thousand, three hundred twenty-one".

Divisors: 1 3 9 27 16607 49821 149463 448389 27753389 83260167 249780501 749341503 460900531123 1382701593369 4148104780107 12444314340321