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32430314420442 = 23223532715453881
BaseRepresentation
bin1110101111110110001010…
…10111101111100011011010
311020211022022101001002120200
413113323011113233203122
513222314240442423232
6152550140351403030
76555004265203641
oct727730527574332
9136738271032520
1032430314420442
11a37368a040a74
123779266823476
13151321c883433
148018c80d2358
153b38c0bd577c
hex1d7ec55ef8da

32430314420442 has 96 divisors (see below), whose sum is σ = 74979795211776. Its totient is φ = 10107566726400.

The previous prime is 32430314420417. The next prime is 32430314420447. The reversal of 32430314420442 is 24402441303423.

32430314420442 is a `hidden beast` number, since 3 + 2 + 4 + 303 + 144 + 204 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 32430314420397 and 32430314420406.

It is not an unprimeable number, because it can be changed into a prime (32430314420447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3219342 + ... + 8673222.

It is an arithmetic number, because the mean of its divisors is an integer number (781039533456).

Almost surely, 232430314420442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32430314420442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37489897605888).

32430314420442 is an abundant number, since it is smaller than the sum of its proper divisors (42549480791334).

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

32430314420442 is a wasteful number, since it uses less digits than its factorization.

32430314420442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5454236 (or 5454233 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 32430314420442 its reverse (24402441303423), we get a palindrome (56832755723865).

The spelling of 32430314420442 in words is "thirty-two trillion, four hundred thirty billion, three hundred fourteen million, four hundred twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 53 69 106 138 159 207 271 318 414 477 542 813 954 1219 1626 2438 2439 3657 4878 6233 7314 10971 12466 14363 18699 21942 28726 37398 43089 56097 86178 112194 129267 258534 330349 660698 991047 1982094 2973141 5453881 5946282 10907762 16361643 32723286 49084929 98169858 125439263 250878526 289055693 376317789 578111386 752635578 867167079 1128953367 1478001751 1734334158 2257906734 2601501237 2956003502 4434005253 5203002474 6648280939 8868010506 13296561878 13302015759 19944842817 26604031518 33994040273 39889685634 59834528451 67988080546 78334092803 101982120819 119669056902 156668185606 203964241638 235002278409 305946362457 470004556818 611892724914 705006835227 1410013670454 1801684134469 3603368268938 5405052403407 10810104806814 16215157210221 32430314420442