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243023552343 = 3311131714292591
BaseRepresentation
bin1110001001010101010…
…1010001111101010111
3212020021201200121002000
43202111111101331113
512440203012133333
6303350554050343
723362231053135
oct3422525217527
9766251617060
10243023552343
119407a506930
123b1241199b3
1319bbc911260
14ba96066755
1564c5603713
hex3895551f57

243023552343 has 128 divisors (see below), whose sum is σ = 448345497600. Its totient is φ = 127820851200.

The previous prime is 243023552327. The next prime is 243023552347. The reversal of 243023552343 is 343255320342.

It is a happy number.

243023552343 is a `hidden beast` number, since 2 + 4 + 30 + 235 + 52 + 343 = 666.

It is not a de Polignac number, because 243023552343 - 24 = 243023552327 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 243023552298 and 243023552307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243023552347) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 93793978 + ... + 93796568.

It is an arithmetic number, because the mean of its divisors is an integer number (3502699200).

Almost surely, 2243023552343 is an apocalyptic number.

243023552343 is a deficient number, since it is larger than the sum of its proper divisors (205321945257).

243023552343 is a wasteful number, since it uses less digits than its factorization.

243023552343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 243023552343 its reverse (343255320342), we get a palindrome (586278872685).

The spelling of 243023552343 in words is "two hundred forty-three billion, twenty-three million, five hundred fifty-two thousand, three hundred forty-three".

Divisors: 1 3 9 11 13 17 27 33 39 51 99 117 143 153 187 221 297 351 429 459 561 663 1287 1429 1683 1989 2431 2591 3861 4287 5049 5967 7293 7773 12861 15719 18577 21879 23319 24293 28501 33683 38583 44047 47157 55731 65637 69957 72879 85503 101049 132141 141471 167193 204347 218637 256509 267223 303147 315809 370513 396423 424413 484517 501579 572611 613041 655911 769527 801669 909441 947427 1111539 1189269 1453551 1717833 1839123 2405007 2842281 3334617 3473899 3702539 4360653 5153499 5517369 6298721 7215021 8526843 10003851 10421697 11107617 13081959 15460497 18896163 31265091 33322851 40727929 48133007 56688489 62943163 93795273 99968553 122183787 144399021 170065467 188829489 366551361 433197063 529463077 566488467 692374793 818261119 1099654083 1299591189 1588389231 1699465401 2077124379 2454783357 4765167693 6231373137 7364350071 9000872309 14295503079 18694119411 22093050213 27002616927 81007850781 243023552343