Search a number
-
+
42242142413130 = 23511220758000223
BaseRepresentation
bin10011001101011010000111…
…11001001010000101001010
312112120022100112102221120220
421212231003321022011022
521014043401424210010
6225501434453330510
711616615445102032
oct1146550371120512
9175508315387526
1042242142413130
1112506879161860
1248a2988036a36
131a7555601b41a
14a6075dd848c2
154d3c35c99970
hex266b43e4a14a

42242142413130 has 64 divisors (see below), whose sum is σ = 110647723327488. Its totient is φ = 10235879178560.

The previous prime is 42242142413117. The next prime is 42242142413183. The reversal of 42242142413130 is 3131424124224.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42242142413091 and 42242142413100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28271802 + ... + 29728421.

It is an arithmetic number, because the mean of its divisors is an integer number (1728870676992).

Almost surely, 242242142413130 is an apocalyptic number.

42242142413130 is an abundant number, since it is smaller than the sum of its proper divisors (68405580914358).

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

42242142413130 is a wasteful number, since it uses less digits than its factorization.

42242142413130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58002451.

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 42242142413130 its reverse (3131424124224), we get a palindrome (45373566537354).

The spelling of 42242142413130 in words is "forty-two trillion, two hundred forty-two billion, one hundred forty-two million, four hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 2207 4414 6621 11035 13242 22070 24277 33105 48554 66210 72831 121385 145662 242770 364155 728310 58000223 116000446 174000669 290001115 348001338 580002230 638002453 870003345 1276004906 1740006690 1914007359 3190012265 3828014718 6380024530 9570036795 19140073590 128006492161 256012984322 384019476483 640032460805 768038952966 1280064921610 1408071413771 1920097382415 2816142827542 3840194764830 4224214241313 7040357068855 8448428482626 14080714137710 21121071206565 42242142413130