Search a number
-
+
11214401014422 = 23219831051337579
BaseRepresentation
bin1010001100110000111001…
…1000111000101010010110
31110201002022212222200202100
42203030032120320222112
52432214043124430142
635503454045222530
72235133211554164
oct243141630705226
943632285880670
1011214401014422
113634001017421
121311514261a46
1363468a15a328
142aaacc0ba234
15146aa4075b4c
hexa330e638a96

11214401014422 has 96 divisors (see below), whose sum is σ = 25888008182400. Its totient is φ = 3498296553216.

The previous prime is 11214401014417. The next prime is 11214401014451. The reversal of 11214401014422 is 22441010441211.

11214401014422 is a `hidden beast` number, since 1 + 1 + 214 + 4 + 0 + 1 + 0 + 1 + 442 + 2 = 666.

It is a super-2 number, since 2×112144010144222 (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, 298403229 + ... + 298440807.

It is an arithmetic number, because the mean of its divisors is an integer number (269666751900).

Almost surely, 211214401014422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11214401014422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12944004091200).

11214401014422 is an abundant number, since it is smaller than the sum of its proper divisors (14673607167978).

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

11214401014422 is a wasteful number, since it uses less digits than its factorization.

11214401014422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48202 (or 48199 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 11214401014422 its reverse (22441010441211), we get a palindrome (33655411455633).

The spelling of 11214401014422 in words is "eleven trillion, two hundred fourteen billion, four hundred one million, fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 83 114 166 171 249 342 498 747 1494 1577 3154 4731 9462 10513 14193 21026 28386 31539 37579 63078 75158 94617 112737 189234 199747 225474 338211 399494 599241 676422 714001 872579 1198482 1428002 1745158 1797723 2142003 2617737 3119057 3595446 4284006 5235474 6238114 6426009 7853211 9357171 12852018 15706422 16579001 18714342 28071513 33158002 49737003 56143026 59262083 99474006 118524166 149211009 177786249 298422018 355572498 395068027 533358747 790136054 1066717494 1185204081 2370408162 3555612243 7111224486 7506292513 15012585026 22518877539 32790646241 45037755078 65581292482 67556632617 98371938723 135113265234 196743877446 295115816169 590231632338 623022278579 1246044557158 1869066835737 3738133671474 5607200507211 11214401014422