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14322214144341 = 32191571627327889
BaseRepresentation
bin1101000001101010011001…
…1111001000100101010101
31212201012010201200102210100
43100122212133020211111
53334123343310104331
650243311230244313
73005513550366225
oct320324637104525
955635121612710
1014322214144341
114622020561364
1217338a8656699
137cb76b0a1b5c
143772ad976085
1519c8488daae6
hexd06a67c8955

14322214144341 has 48 divisors (see below), whose sum is σ = 21928706113600. Its totient is φ = 8982441921024.

The previous prime is 14322214144229. The next prime is 14322214144351. The reversal of 14322214144341 is 14344141222341.

14322214144341 is a `hidden beast` number, since 1 + 4 + 3 + 2 + 2 + 214 + 1 + 4 + 434 + 1 = 666.

It is not a de Polignac number, because 14322214144341 - 211 = 14322214142293 is a prime.

It is a super-2 number, since 2×143222141443412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 14322214144296 and 14322214144305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14322214144351) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43516125 + ... + 43844013.

Almost surely, 214322214144341 is an apocalyptic number.

It is an amenable number.

14322214144341 is a deficient number, since it is larger than the sum of its proper divisors (7606491969259).

14322214144341 is a wasteful number, since it uses less digits than its factorization.

14322214144341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329698 (or 329695 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

Adding to 14322214144341 its reverse (14344141222341), we get a palindrome (28666355366682).

The spelling of 14322214144341 in words is "fourteen trillion, three hundred twenty-two billion, two hundred fourteen million, one hundred forty-four thousand, three hundred forty-one".

Divisors: 1 3 9 19 57 157 171 471 1413 1627 2983 4881 8949 14643 26847 30913 92739 255439 278217 327889 766317 983667 2298951 2951001 4853341 6229891 14560023 18689673 43680069 51478573 56069019 154435719 463307157 533475403 978092887 1600426209 2934278661 4801278627 8802835983 10136032657 30408097971 83755638271 91224293913 251266914813 753800744439 1591357127149 4774071381447 14322214144341