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243322505223342 = 23298336788351991
BaseRepresentation
bin110111010100110011101111…
…011111010101110010101110
31011220112101220202022011200120
4313110303233133111302232
5223343043442314121332
62221300452111305410
7102152320336660116
oct6724635737256256
91156471822264616
10243322505223342
1170591549880826
122335964681b266
13a5a02a18ca82c
144412c2d030046
151d1e59b83832c
hexdd4cef7d5cae

243322505223342 has 128 divisors (see below), whose sum is σ = 511467914280960. Its totient is φ = 77067517080960.

The previous prime is 243322505223341. The next prime is 243322505223349.

243322505223342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243322505223294 and 243322505223303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243322505223341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4680062967 + ... + 4680114957.

It is an arithmetic number, because the mean of its divisors is an integer number (3995843080320).

Almost surely, 2243322505223342 is an apocalyptic number.

243322505223342 is an abundant number, since it is smaller than the sum of its proper divisors (268145409057618).

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

243322505223342 is a wasteful number, since it uses less digits than its factorization.

243322505223342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53358.

The product of its (nonzero) digits is 2073600, while the sum is 42.

It can be divided in two parts, 24332250 and 5223342, that added together give a palindrome (29555592).

The spelling of 243322505223342 in words is "two hundred forty-three trillion, three hundred twenty-two billion, five hundred five million, two hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 29 58 83 87 166 174 249 367 498 734 883 1101 1766 2202 2407 2649 4814 5298 7221 10643 14442 21286 25607 30461 31929 51214 51991 60922 63858 73289 76821 91383 103982 146578 153642 155973 182766 219867 311946 324061 439734 648122 883369 972183 1507739 1766738 1944366 2125381 2650107 3015478 4250762 4315253 4523217 5300214 6376143 8630506 9046434 9397769 12752286 12945759 18795538 19080697 25891518 26897063 28193307 38161394 45908053 53794126 56386614 57242091 80691189 91816106 114484182 125142337 137724159 161382378 250284674 275448318 375427011 553340213 750854022 780014827 1106680426 1331333537 1560029654 1583697851 1660020639 2340044481 2662667074 3167395702 3320041278 3810368399 3994000611 4680088962 4751093553 7620736798 7988001222 9502187106 11431105197 16848255451 22862210394 33696510902 45927237679 50544766353 91854475358 101089532706 110500683571 137781713037 221001367142 275563426074 331502050713 488599408079 663004101426 977198816158 1398405202433 1465798224237 2796810404866 2931596448474 4195215607299 8390431214598 40553750870557 81107501741114 121661252611671 243322505223342