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42300444340989 = 321912223757593
BaseRepresentation
bin10011001111000110101101…
…11101010111001011111101
312112202212211200210202021100
421213203112331113023331
521021022302222402424
6225544320022123313
711624051305234062
oct1147432675271375
9175685750722240
1042300444340989
111252957707310a
1248b2139280539
131a7abb7a256a3
14a634d10d4c69
154d54e93c9dc9
hex2678d6f572fd

42300444340989 has 36 divisors (see below), whose sum is σ = 61450739705628. Its totient is φ = 28039623530880.

The previous prime is 42300444340939. The next prime is 42300444340997. The reversal of 42300444340989 is 98904344400324.

42300444340989 is a `hidden beast` number, since 42 + 30 + 0 + 4 + 443 + 40 + 98 + 9 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20646936332100 + 21653508008889 = 4543890^2 + 4653333^2 .

It is not a de Polignac number, because 42300444340989 - 232 = 42296149373693 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42300444340939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 734443177 + ... + 734500769.

It is an arithmetic number, because the mean of its divisors is an integer number (1706964991823).

Almost surely, 242300444340989 is an apocalyptic number.

It is an amenable number.

42300444340989 is a deficient number, since it is larger than the sum of its proper divisors (19150295364639).

42300444340989 is a wasteful number, since it uses less digits than its factorization.

42300444340989 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60218 (or 60024 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 42300444340989 in words is "forty-two trillion, three hundred billion, four hundred forty-four million, three hundred forty thousand, nine hundred eighty-nine".

Divisors: 1 3 9 191 573 1719 2237 6711 20133 36481 57593 109443 172779 328329 427267 518337 1281801 3845403 11000263 33000789 81607997 99002367 128835541 244823991 386506623 734471973 1159519869 2101050233 6303150699 18909452097 24607588331 73822764993 221468294979 4700049371221 14100148113663 42300444340989