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42443022340197 = 321915172710612131
BaseRepresentation
bin10011010011010000010010…
…10001010001000001100101
312120021111212012110120002200
421221220021101101001211
521030341302204341242
6230134015535325113
711640256442233053
oct1151501121210145
9176244765416080
1042443022340197
1112583a91695206
1249158aa380799
131a8b48a7265ab
14a6a378c791d3
154d90915d304c
hex269a09451065

42443022340197 has 96 divisors (see below), whose sum is σ = 65141841623040. Its totient is φ = 26554437360000.

The previous prime is 42443022340157. The next prime is 42443022340261. The reversal of 42443022340197 is 79104322034424.

42443022340197 is a `hidden beast` number, since 4 + 2 + 4 + 430 + 2 + 23 + 4 + 0 + 197 = 666.

It is not a de Polignac number, because 42443022340197 - 223 = 42443013951589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42443022340157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19916949822 + ... + 19916951952.

It is an arithmetic number, because the mean of its divisors is an integer number (678560850240).

Almost surely, 242443022340197 is an apocalyptic number.

It is an amenable number.

42443022340197 is a deficient number, since it is larger than the sum of its proper divisors (22698819282843).

42443022340197 is a wasteful number, since it uses less digits than its factorization.

42443022340197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095 (or 4092 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 42443022340197 in words is "forty-two trillion, four hundred forty-three billion, twenty-two million, three hundred forty thousand, one hundred ninety-seven".

Divisors: 1 3 9 19 57 151 171 453 727 1061 1359 2131 2181 2869 3183 6393 6543 8607 9549 13813 19179 20159 25821 40489 41439 60477 109777 121467 124317 160211 181431 321781 329331 364401 480633 771347 965343 987993 1441899 1549237 2085763 2260991 2314041 2896029 3044009 4647711 6113839 6257289 6782973 6942123 9132027 13943133 14655593 18341517 18771867 20348919 27396081 29435503 42958829 43966779 55024551 88306509 116473397 128876487 131900337 233934787 264919527 341409641 349420191 386629461 701804361 1024228923 1048260573 1643740457 2105413083 2212994543 3072686769 4444760953 4931221371 6486783179 6638983629 13334282859 14793664113 19460349537 19916950887 31231068683 40002848577 58381048611 93693206049 248204809007 281079618147 744614427021 2233843281063 4715891371133 14147674113399 42443022340197