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14313211231341 = 3113764118287881
BaseRepresentation
bin1101000001001000110111…
…0111101111110001101101
31212200022220022010001220010
43100102031313233301231
53334001424033400331
650235222022443433
73005044501033401
oct320221567576155
955608808101803
1014313211231341
1146192206605a0
121731bb5593579
137ca964b419b9
14376a98003101
1519c4bd335e46
hexd048ddefc6d

14313211231341 has 32 divisors (see below), whose sum is σ = 21415256125056. Its totient is φ = 8427055104000.

The previous prime is 14313211231313. The next prime is 14313211231343.

It is a happy number.

14313211231341 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 14313211231341 - 219 = 14313210707053 is a prime.

It is a super-2 number, since 2×143132112313412 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14313211231299 and 14313211231308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313211231343) 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, 8361280 + ... + 9926601.

It is an arithmetic number, because the mean of its divisors is an integer number (669226753908).

Almost surely, 214313211231341 is an apocalyptic number.

14313211231341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

14313211231341 is a deficient number, since it is larger than the sum of its proper divisors (7102044893715).

14313211231341 is a wasteful number, since it uses less digits than its factorization.

14313211231341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18288573.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 1431321 and 1231341, that added together give a palindrome (2662662).

The spelling of 14313211231341 in words is "fourteen trillion, three hundred thirteen billion, two hundred eleven million, two hundred thirty-one thousand, three hundred forty-one".

Divisors: 1 3 11 33 37 111 407 641 1221 1923 7051 21153 23717 71151 260887 782661 18287881 54863643 201166691 603500073 676651597 2029954791 7443167567 11722531721 22329502701 35167595163 128947848931 386843546793 433733673677 1301201021031 4771070410447 14313211231341