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42341044441 = 174110925113
BaseRepresentation
bin100111011011101110…
…010001000011011001
311001021211010220202011
4213123232101003121
51143203301410231
631241243305521
73026151640153
oct473356210331
9131254126664
1042341044441
1116a58463413
128257b1b2a1
133cba098767
142099481ad3
15117c2b49b1
hex9dbb910d9

42341044441 has 24 divisors (see below), whose sum is σ = 46359412344. Its totient is φ = 38514216960.

The previous prime is 42341044381. The next prime is 42341044453. The reversal of 42341044441 is 14444014324.

It can be written as a sum of positive squares in 12 ways, for example, as 16235856400 + 26105188041 = 127420^2 + 161571^2 .

It is not a de Polignac number, because 42341044441 - 217 = 42340913369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42341044541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8278501 + ... + 8283613.

It is an arithmetic number, because the mean of its divisors is an integer number (1931642181).

Almost surely, 242341044441 is an apocalyptic number.

42341044441 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42341044441 is a deficient number, since it is larger than the sum of its proper divisors (4018367903).

42341044441 is a wasteful number, since it uses less digits than its factorization.

42341044441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5280 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 42341044441 its reverse (14444014324), we get a palindrome (56785058765).

The spelling of 42341044441 in words is "forty-two billion, three hundred forty-one million, forty-four thousand, four hundred forty-one".

Divisors: 1 17 41 109 697 1853 4469 5113 11881 75973 86921 201977 209633 487121 557317 3563761 8281057 9474389 22849997 60747553 388449949 1032708401 2490649673 42341044441