Search a number
-
+
14354313611445 = 3251019113466811
BaseRepresentation
bin1101000011100001111111…
…0000111000100010110101
31212211020222210111022121100
43100320133300320202311
53340140113241031240
650310140341240313
73011031162352353
oct320703760704265
955736883438540
1014354313611445
1146346a28aa075
121739b66703099
138017b53c9382
14378a76b6c7d3
1519d5c69c3e30
hexd0e1fc388b5

14354313611445 has 48 divisors (see below), whose sum is σ = 25154744120064. Its totient is φ = 7571513040000.

The previous prime is 14354313611251. The next prime is 14354313611461. The reversal of 14354313611445 is 54411631345341.

14354313611445 is a `hidden beast` number, since 1 + 4 + 3 + 543 + 1 + 3 + 61 + 1 + 4 + 45 = 666.

14354313611445 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14354313611445 - 212 = 14354313607349 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 14354313611445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2407090 + ... + 5873900.

It is an arithmetic number, because the mean of its divisors is an integer number (524057169168).

Almost surely, 214354313611445 is an apocalyptic number.

14354313611445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14354313611445 is a deficient number, since it is larger than the sum of its proper divisors (10800430508619).

14354313611445 is a wasteful number, since it uses less digits than its factorization.

14354313611445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467834 (or 3467831 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

Adding to 14354313611445 its reverse (54411631345341), we get a palindrome (68765944956786).

The spelling of 14354313611445 in words is "fourteen trillion, three hundred fifty-four billion, three hundred thirteen million, six hundred eleven thousand, four hundred forty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 911 1515 2733 4545 4555 8199 13665 40995 92011 276033 460055 828099 1380165 3466811 4140495 10400433 17334055 31201299 52002165 156006495 350147911 1050443733 1750739555 3151331199 3158264821 5252218665 9474794463 15756655995 15791324105 28424383389 47373972315 142121916945 318984746921 956954240763 1594923734605 2870862722289 4784771203815 14354313611445