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12441333314421 = 3211125670033479
BaseRepresentation
bin1011010100001011100101…
…0000001011001101110101
31122001101020220120101211100
42311002321100023031311
53112314322312030141
642243245234400313
72422566560206254
oct265027120131565
948041226511740
1012441333314421
113a67381347090
12148b269430099
136c329c3b0c0b
1431024146279b
151689633c20b6
hexb50b940b375

12441333314421 has 12 divisors (see below), whose sum is σ = 19604525222880. Its totient is φ = 7540202008680.

The previous prime is 12441333314419. The next prime is 12441333314437.

12441333314421 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 1 + 333 + 314 + 4 + 2 + 1 = 666.

12441333314421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 12441333314421 - 21 = 12441333314419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12441333314401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62835016641 + ... + 62835016838.

It is an arithmetic number, because the mean of its divisors is an integer number (1633710435240).

Almost surely, 212441333314421 is an apocalyptic number.

12441333314421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12441333314421 is a deficient number, since it is larger than the sum of its proper divisors (7163191908459).

12441333314421 is a wasteful number, since it uses less digits than its factorization.

12441333314421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125670033496 (or 125670033493 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 1244133 and 3314421, that added together give a palindrome (4558554).

The spelling of 12441333314421 in words is "twelve trillion, four hundred forty-one billion, three hundred thirty-three million, three hundred fourteen thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 99 125670033479 377010100437 1131030301311 1382370368269 4147111104807 12441333314421