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13144345223211 = 322922925159369
BaseRepresentation
bin1011111101000110100000…
…0001110010000000101011
31201112120212000111121200200
42333101220001302000223
53210324104334120321
643542232343403243
72524435061635056
oct277215001620053
951476760447620
1013144345223211
11420853822a3a4
121583566753523
137446778419b7
1433629278da9d
1517bdabac1d26
hexbf46807202b

13144345223211 has 36 divisors (see below), whose sum is σ = 19664554910520. Its totient is φ = 8460296208000.

The previous prime is 13144345223203. The next prime is 13144345223231. The reversal of 13144345223211 is 11232254344131.

13144345223211 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 434 + 5 + 2 + 2 + 3 + 211 = 666.

It is not a de Polignac number, because 13144345223211 - 23 = 13144345223203 is a prime.

It is a super-2 number, since 2×131443452232112 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13144345223231) 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 35 ways as a sum of consecutive naturals, for example, 221371135 + ... + 221430503.

Almost surely, 213144345223211 is an apocalyptic number.

13144345223211 is a deficient number, since it is larger than the sum of its proper divisors (6520209687309).

13144345223211 is a wasteful number, since it uses less digits than its factorization.

13144345223211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88684 (or 88652 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 13144345223211 its reverse (11232254344131), we get a palindrome (24376599567342).

The spelling of 13144345223211 in words is "thirteen trillion, one hundred forty-four billion, three hundred forty-five million, two hundred twenty-three thousand, two hundred eleven".

Divisors: 1 3 9 29 87 261 841 2523 7569 29251 59369 87753 178107 263259 534321 848279 1721701 2544837 5165103 7634511 15495309 24600091 49929329 73800273 149787987 221400819 449363961 1736602619 5209807857 15629423571 50361475951 151084427853 453253283559 1460482802579 4381448407737 13144345223211