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412431302532324 = 223192416734658081
BaseRepresentation
bin101110111000110101010010…
…1010010000001110011100100
32000002022001021121010222202010
41131301222211102001303210
5413024233301422013244
64021100154051114220
7152605115103663135
oct13561524522016344
92002261247128663
10412431302532324
1110a460151243719
123a30bb488a2970
131491914975453a
1473bbad2813c8c
1532a3440ab1eb9
hex1771aa5481ce4

412431302532324 has 144 divisors (see below), whose sum is σ = 1055955788024256. Its totient is φ = 125168349081600.

The previous prime is 412431302532313. The next prime is 412431302532377. The reversal of 412431302532324 is 423235203134214.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5429037 + ... + 29229044.

It is an arithmetic number, because the mean of its divisors is an integer number (7333026305724).

Almost surely, 2412431302532324 is an apocalyptic number.

It is an amenable number.

412431302532324 is an abundant number, since it is smaller than the sum of its proper divisors (643524485491932).

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

412431302532324 is a wasteful number, since it uses less digits than its factorization.

412431302532324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34658234 (or 34658213 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 39.

Adding to 412431302532324 its reverse (423235203134214), we get a palindrome (835666505666538).

The spelling of 412431302532324 in words is "four hundred twelve trillion, four hundred thirty-one billion, three hundred two million, five hundred thirty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 41 57 67 76 82 114 123 134 164 201 228 246 268 361 402 492 722 779 804 1083 1273 1444 1558 2166 2337 2546 2747 3116 3819 4332 4674 5092 5494 7638 8241 9348 10988 14801 15276 16482 24187 29602 32964 44403 48374 52193 59204 72561 88806 96748 104386 145122 156579 177612 208772 290244 313158 626316 991667 1983334 2975001 3966668 5950002 11900004 34658081 69316162 103974243 138632324 207948486 415896972 658503539 1317007078 1420981321 1975510617 2322091427 2634014156 2841962642 3951021234 4262943963 4644182854 5683925284 6966274281 7902042468 8525887926 9288365708 12511567241 13932548562 17051775852 25023134482 26998645099 27865097124 37534701723 44119737113 50046268964 53997290198 75069403446 80995935297 88239474226 95205748507 107994580396 132359211339 150138806892 161991870594 176478948452 190411497014 264718422678 285617245521 323983741188 380822994028 512974256881 529436845356 571234491042 838275005147 1025948513762 1142468982084 1538922770643 1676550010294 1808909221633 2051897027524 2514825015441 3077845541286 3353100020588 3617818443266 5029650030882 5426727664899 6155691082572 7235636886532 10059300061764 10853455329798 21706910659596 34369275211027 68738550422054 103107825633081 137477100844108 206215651266162 412431302532324