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14041122111324 = 22327311103374283
BaseRepresentation
bin1100110001010011010000…
…0110000111111101011100
31211201022120221102122121200
43030110310012013331130
53320022204230030244
645510222532355500
72646303044466000
oct314246406077534
954638527378550
1014041122111324
114523896420560
1216a931b475b90
137ab0c26295b9
14367845a92700
15195396187669
hexcc534187f5c

14041122111324 has 144 divisors (see below), whose sum is σ = 45153887251200. Its totient is φ = 3647044668960.

The previous prime is 14041122111307. The next prime is 14041122111337. The reversal of 14041122111324 is 42311122114041.

14041122111324 is a `hidden beast` number, since 1 + 4 + 0 + 411 + 2 + 211 + 1 + 32 + 4 = 666.

14041122111324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140411221113242 (a number of 27 digits) contains 22 as substring.

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, 51551314 + ... + 51822969.

Almost surely, 214041122111324 is an apocalyptic number.

14041122111324 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14041122111324 is an abundant number, since it is smaller than the sum of its proper divisors (31112765139876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14041122111324 is a wasteful number, since it uses less digits than its factorization.

14041122111324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103374325 (or 103374306 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 14041122111324 its reverse (42311122114041), we get a palindrome (56352244225365).

The spelling of 14041122111324 in words is "fourteen trillion, forty-one billion, one hundred twenty-two million, one hundred eleven thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 49 63 66 77 84 98 99 126 132 147 154 196 198 231 252 294 308 343 396 441 462 539 588 686 693 882 924 1029 1078 1372 1386 1617 1764 2058 2156 2772 3087 3234 3773 4116 4851 6174 6468 7546 9702 11319 12348 15092 19404 22638 33957 45276 67914 135828 103374283 206748566 310122849 413497132 620245698 723619981 930368547 1137117113 1240491396 1447239962 1860737094 2170859943 2274234226 2894479924 3411351339 3721474188 4341719886 4548468452 5065339867 6512579829 6822702678 7959819791 8683439772 10130679734 10234054017 13025159658 13645405356 15196019601 15919639582 20261359468 20468108034 23879459373 26050319316 30392039202 31839279164 35457379069 40936216068 45588058803 47758918746 55718738537 60784078404 70914758138 71638378119 91176117606 95517837492 106372137207 111437477074 141829516276 143276756238 167156215611 182352235212 212744274414 222874954148 286553512476 319116411621 334312431222 390031169759 425488548828 501468646833 638232823242 668624862444 780062339518 1002937293666 1170093509277 1276465646484 1560124679036 2005874587332 2340187018554 3510280527831 4680374037108 7020561055662 14041122111324