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14013042211044 = 2234238322655909
BaseRepresentation
bin1100101111101010101001…
…1001110011100011100100
31211121122010000010220220000
43023322222121303203210
53314042202301223134
645445300330541300
72644260151332342
oct313725231634344
954548100126800
1014013042211044
1145129970108a8
1216a39a3597830
137a8568cb49a6
14366340664992
151947a0ddbe99
hexcbeaa6738e4

14013042211044 has 120 divisors (see below), whose sum is σ = 38686144432320. Its totient is φ = 4414095867456.

The previous prime is 14013042211009. The next prime is 14013042211073. The reversal of 14013042211044 is 44011224031041.

14013042211044 is a `hidden beast` number, since 1 + 4 + 0 + 130 + 422 + 1 + 104 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 14013042210999 and 14013042211017.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10709439 + ... + 11946470.

It is an arithmetic number, because the mean of its divisors is an integer number (322384536936).

Almost surely, 214013042211044 is an apocalyptic number.

It is an amenable number.

14013042211044 is an abundant number, since it is smaller than the sum of its proper divisors (24673102221276).

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

14013042211044 is a wasteful number, since it uses less digits than its factorization.

14013042211044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22656031 (or 22656020 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 14013042211044 its reverse (44011224031041), we get a palindrome (58024266242085).

The spelling of 14013042211044 in words is "fourteen trillion, thirteen billion, forty-two million, two hundred eleven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 83 92 108 138 162 166 207 249 276 324 332 414 498 621 747 828 996 1242 1494 1863 1909 2241 2484 2988 3726 3818 4482 5727 6723 7452 7636 8964 11454 13446 17181 22908 26892 34362 51543 68724 103086 154629 206172 309258 618516 22655909 45311818 67967727 90623636 135935454 203903181 271870908 407806362 521085907 611709543 815612724 1042171814 1223419086 1563257721 1835128629 1880440447 2084343628 2446838172 3126515442 3670257258 3760880894 4689773163 5641321341 6253030884 7340514516 7521761788 9379546326 11282642682 14069319489 16923964023 18759092652 22565285364 28138638978 33847928046 42207958467 43250130281 50771892069 56277277956 67695856092 84415916934 86500260562 101543784138 129750390843 152315676207 168831833868 173000521124 203087568276 259500781686 304631352414 389251172529 519001563372 609262704828 778502345058 1167753517587 1557004690116 2335507035174 3503260552761 4671014070348 7006521105522 14013042211044