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14224322233134 = 232131911172864237
BaseRepresentation
bin1100111011111101101110…
…1011001000001100101110
31212100211110110210002201100
43032333123223020030232
53331022402442430014
650130321411023530
72665446652024206
oct316773353101456
955324413702640
1014224322233134
114594557089602
12171892889aba6
137c246a252c40
143726648a9406
1519a0197b5009
hexcefdbac832e

14224322233134 has 96 divisors (see below), whose sum is σ = 34968221477280. Its totient is φ = 4142647639296.

The previous prime is 14224322233129. The next prime is 14224322233189. The reversal of 14224322233134 is 43133222342241.

14224322233134 is a `hidden beast` number, since 1 + 42 + 2 + 432 + 22 + 33 + 134 = 666.

It is a Curzon number.

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, 3534064 + ... + 6398300.

It is an arithmetic number, because the mean of its divisors is an integer number (364252307055).

Almost surely, 214224322233134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14224322233134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484110738640).

14224322233134 is an abundant number, since it is smaller than the sum of its proper divisors (20743899244146).

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

14224322233134 is a wasteful number, since it uses less digits than its factorization.

14224322233134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865394 (or 2865391 counting only the distinct ones).

The product of its digits is 165888, while the sum is 36.

Adding to 14224322233134 its reverse (43133222342241), we get a palindrome (57357544575375).

The spelling of 14224322233134 in words is "fourteen trillion, two hundred twenty-four billion, three hundred twenty-two million, two hundred thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 171 234 247 342 494 741 1117 1482 2223 2234 3351 4446 6702 10053 14521 20106 21223 29042 42446 43563 63669 87126 127338 130689 191007 261378 275899 382014 551798 827697 1655394 2483091 2864237 4966182 5728474 8592711 17185422 25778133 37235081 51556266 54420503 74470162 108841006 111705243 163261509 223410486 326523018 335115729 489784527 670231458 707466539 979569054 1414933078 2122399617 3199352729 4244799234 6367198851 6398705458 9598058187 12734397702 19196116374 28794174561 41591585477 57588349122 60787701851 83183170954 121575403702 124774756431 182363105553 249549512862 364726211106 374324269293 547089316659 748648538586 790240124063 1094178633318 1580480248126 2370720372189 4741440744378 7112161116567 14224322233134