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42405241050 = 23252761123829
BaseRepresentation
bin100111011111100011…
…001010000011011010
311001110021221102221100
4213133203022003122
51143321220203200
631251455252230
73030561413244
oct473743120332
9131407842840
1042405241050
1116a90720267
12827551a076
133cca484913
1420a3bd3094
151182c45d00
hex9df8ca0da

42405241050 has 72 divisors (see below), whose sum is σ = 114079378140. Its totient is φ = 11293113600.

The previous prime is 42405240989. The next prime is 42405241051. The reversal of 42405241050 is 5014250424.

42405241050 is a `hidden beast` number, since 4 + 240 + 5 + 2 + 410 + 5 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3484658961 + 38920582089 = 59031^2 + 197283^2 .

It is not an unprimeable number, because it can be changed into a prime (42405241051) 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 35 ways as a sum of consecutive naturals, for example, 280536 + ... + 404364.

Almost surely, 242405241050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42405241050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57039689070).

42405241050 is an abundant number, since it is smaller than the sum of its proper divisors (71674137090).

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

42405241050 is a wasteful number, since it uses less digits than its factorization.

42405241050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124608 (or 124600 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 42405241050 its reverse (5014250424), we get a palindrome (47419491474).

The spelling of 42405241050 in words is "forty-two billion, four hundred five million, two hundred forty-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 761 1522 2283 3805 4566 6849 7610 11415 13698 19025 22830 34245 38050 57075 68490 114150 123829 171225 247658 342450 371487 619145 742974 1114461 1238290 1857435 2228922 3095725 3714870 5572305 6191450 9287175 11144610 18574350 27861525 55723050 94233869 188467738 282701607 471169345 565403214 848104821 942338690 1413508035 1696209642 2355846725 2827016070 4240524105 4711693450 7067540175 8481048210 14135080350 21202620525 42405241050