Search a number
-
+
12032432442 = 2331931419227
BaseRepresentation
bin10110011010011000…
…00101100100111010
31011001120010220022000
423031030011210322
5144120300314232
65305544441430
7604113662652
oct131514054472
934046126260
1012032432442
115114aa3648
1223b9779276
131199aaba14
14822061362
154a652a27c
hex2cd30593a

12032432442 has 128 divisors (see below), whose sum is σ = 29765836800. Its totient is φ = 3587068800.

The previous prime is 12032432441. The next prime is 12032432443. The reversal of 12032432442 is 24423423021.

12032432442 is a `hidden beast` number, since 12 + 0 + 324 + 324 + 4 + 2 = 666.

12032432442 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12032432441) and next prime (12032432443).

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

It is not an unprimeable number, because it can be changed into a prime (12032432441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1299433 + ... + 1308659.

It is an arithmetic number, because the mean of its divisors is an integer number (232545600).

Almost surely, 212032432442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12032432442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14882918400).

12032432442 is an abundant number, since it is smaller than the sum of its proper divisors (17733404358).

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

12032432442 is a wasteful number, since it uses less digits than its factorization.

12032432442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9329 (or 9323 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 12032432442 its reverse (24423423021), we get a palindrome (36455855463).

The spelling of 12032432442 in words is "twelve billion, thirty-two million, four hundred thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 41 54 57 62 82 93 114 123 171 186 246 279 342 369 513 558 589 738 779 837 1026 1107 1178 1271 1558 1674 1767 2214 2337 2542 3534 3813 4674 5301 7011 7626 9227 10602 11439 14022 15903 18454 21033 22878 24149 27681 31806 34317 42066 48298 55362 68634 72447 83043 144894 166086 175313 217341 249129 286037 350626 378307 434682 498258 525939 572074 652023 756614 858111 1051878 1134921 1304046 1577817 1716222 2269842 2574333 3155634 3404763 4733451 5148666 5434703 6809526 7187833 7722999 9466902 10214289 10869406 11727517 14375666 15445998 16304109 20428578 21563499 23455034 32608218 35182551 43126998 48912327 64690497 70365102 97824654 105547653 129380994 146736981 194071491 211095306 222822823 293473962 316642959 388142982 445645646 633285918 668468469 1336936938 2005405407 4010810814 6016216221 12032432442