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42226160346441 = 35436883587123
BaseRepresentation
bin10011001100111100010110…
…10010011010010101001001
312112111210002201100211200000
421212132023102122111021
521013313134022041231
6225450232534233213
711615511421552311
oct1146361322322511
9175453081324600
1042226160346441
1112500017755585
12489b8677b5809
131a73ba9ba3a26
14a5da85560441
154d35ecb476e6
hex26678b49a549

42226160346441 has 48 divisors (see below), whose sum is σ = 64732854041856. Its totient is φ = 27492062801616.

The previous prime is 42226160346439. The next prime is 42226160346463. The reversal of 42226160346441 is 14464306162224.

42226160346441 is a `hidden beast` number, since 4 + 2 + 2 + 2 + 6 + 160 + 3 + 46 + 441 = 666.

It is not a de Polignac number, because 42226160346441 - 21 = 42226160346439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (42226160346421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71626906 + ... + 72214028.

It is an arithmetic number, because the mean of its divisors is an integer number (1348601125872).

Almost surely, 242226160346441 is an apocalyptic number.

It is an amenable number.

42226160346441 is a deficient number, since it is larger than the sum of its proper divisors (22506693695415).

42226160346441 is an equidigital number, since it uses as much as digits as its factorization.

42226160346441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594064 (or 594052 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 45.

The spelling of 42226160346441 in words is "forty-two trillion, two hundred twenty-six billion, one hundred sixty million, three hundred forty-six thousand, four hundred forty-one".

Divisors: 1 3 9 27 43 81 129 243 387 1161 3483 6883 10449 20649 61947 185841 295969 557523 587123 887907 1672569 1761369 2663721 5284107 7991163 15852321 23973489 25246289 47556963 71920467 75738867 142670889 227216601 681649803 2044949409 4041167609 6134848227 12123502827 36370508481 109111525443 173770207187 327334576329 521310621561 982003728987 1563931864683 4691795594049 14075386782147 42226160346441