Search a number
-
+
12014422440132 = 22379710151145259
BaseRepresentation
bin1010111011010101001101…
…1000011011100011000100
31120112120022202102222021210
42232311103120123203010
53033321014121041012
641315203253011420
72350004405513640
oct256652330334304
946476282388253
1012014422440132
113912319285612
121420585923b70
13691c55699028
142d770321bc20
1515c7c919b23c
hexaed5361b8c4

12014422440132 has 96 divisors (see below), whose sum is σ = 32372164823040. Its totient is φ = 3396945484800.

The previous prime is 12014422440109. The next prime is 12014422440133. The reversal of 12014422440132 is 23104422441021.

12014422440132 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 2×120144224401322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12014422440132.

It is not an unprimeable number, because it can be changed into a prime (12014422440133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82637719 + ... + 82782977.

It is an arithmetic number, because the mean of its divisors is an integer number (337210050240).

Almost surely, 212014422440132 is an apocalyptic number.

12014422440132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014422440132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16186082411520).

12014422440132 is an abundant number, since it is smaller than the sum of its proper divisors (20357742382908).

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

12014422440132 is a wasteful number, since it uses less digits than its factorization.

12014422440132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155521 (or 155519 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 12014422440132 its reverse (23104422441021), we get a palindrome (35118844881153).

The spelling of 12014422440132 in words is "twelve trillion, fourteen billion, four hundred twenty-two million, four hundred forty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 97 194 291 388 582 679 1164 1358 2037 2716 4074 8148 10151 20302 30453 40604 60906 71057 121812 142114 145259 213171 284228 290518 426342 435777 581036 852684 871554 984647 1016813 1743108 1969294 2033626 2953941 3050439 3938588 4067252 5907882 6100878 6892529 11815764 12201756 13785058 14090123 20677587 27570116 28180246 41355174 42270369 56360492 82710348 84540738 98630861 169081476 197261722 295892583 394523444 591785166 1183570332 1474524109 2949048218 4423572327 5898096436 8847144654 10321668763 17694289308 20643337526 30965006289 41286675052 61930012578 123860025156 143028838573 286057677146 429086515719 572115354292 858173031438 1001201870011 1716346062876 2002403740022 3003605610033 4004807480044 6007211220066 12014422440132