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14211020043234 = 2327251621772277
BaseRepresentation
bin1100111011001100001011…
…0011010011001111100010
31212022120010102100211122100
43032303002303103033202
53330313132112340414
650120241422551230
72664466216206360
oct316630263231742
955276112324570
1014211020043234
114589950374433
121716235a38516
137c112a397761
14371b61d5a630
151999dba70609
hexcecc2cd33e2

14211020043234 has 96 divisors (see below), whose sum is σ = 35335560064896. Its totient is φ = 4043408544000.

The previous prime is 14211020043229. The next prime is 14211020043263. The reversal of 14211020043234 is 43234002011241.

14211020043234 is a `hidden beast` number, since 1 + 4 + 21 + 1 + 0 + 200 + 432 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 14211020043198 and 14211020043207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196582704 + ... + 196654980.

It is an arithmetic number, because the mean of its divisors is an integer number (368078750676).

Almost surely, 214211020043234 is an apocalyptic number.

14211020043234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14211020043234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17667780032448).

14211020043234 is an abundant number, since it is smaller than the sum of its proper divisors (21124540021662).

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

14211020043234 is a wasteful number, since it uses less digits than its factorization.

14211020043234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78760 (or 78757 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14211020043234 its reverse (43234002011241), we get a palindrome (57445022054475).

The spelling of 14211020043234 in words is "fourteen trillion, two hundred eleven billion, twenty million, forty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 251 502 753 1506 1757 2259 3514 4518 5271 6217 10542 12434 15813 18651 31626 37302 43519 55953 72277 87038 111906 130557 144554 216831 261114 391671 433662 505939 650493 783342 1011878 1300986 1517817 1560467 3035634 3120934 4553451 4681401 9106902 9362802 10923269 14044203 18141527 21846538 28088406 32769807 36283054 54424581 65539614 98309421 108849162 126990689 163273743 196618842 253981378 326547486 380972067 449346109 761944134 898692218 1142916201 1348038327 2285832402 2696076654 3145422763 4044114981 6290845526 8088229962 9436268289 18872536578 28308804867 56617609734 112785873359 225571746718 338357620077 676715240154 789501113513 1015072860231 1579002227026 2030145720462 2368503340539 4737006681078 7105510021617 14211020043234