Search a number
-
+
13141343440401 = 3117129759188473
BaseRepresentation
bin1011111100111011010100…
…0110111000111000010001
31201112022002211010020210120
42333032311012320320101
53210301432410043101
643541014433020453
72524300512125511
oct277166506707021
951468084106716
1013141343440401
114207237861560
121582a693b4729
137442b9984b57
14336089c41841
1517bc832c9b36
hexbf3b51b8e11

13141343440401 has 32 divisors (see below), whose sum is σ = 19384656445440. Its totient is φ = 7851969686400.

The previous prime is 13141343440367. The next prime is 13141343440439. The reversal of 13141343440401 is 10404434314131.

It is not a de Polignac number, because 13141343440401 - 213 = 13141343432209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (13141343440301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69631101 + ... + 69819573.

It is an arithmetic number, because the mean of its divisors is an integer number (605770513920).

Almost surely, 213141343440401 is an apocalyptic number.

13141343440401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13141343440401 is a deficient number, since it is larger than the sum of its proper divisors (6243313005039).

13141343440401 is a wasteful number, since it uses less digits than its factorization.

13141343440401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218317.

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 13141343440401 its reverse (10404434314131), we get a palindrome (23545777754532).

The spelling of 13141343440401 in words is "thirteen trillion, one hundred forty-one billion, three hundred forty-three million, four hundred forty thousand, four hundred one".

Divisors: 1 3 11 33 71 213 781 2343 29759 89277 188473 327349 565419 982047 2073203 2112889 6219609 6338667 13381583 23241779 40144749 69725337 147197413 441592239 5608768007 16826304021 61696448077 185089344231 398222528497 1194667585491 4380447813467 13141343440401