Search a number
-
+
42113013202413 = 3322071585944563
BaseRepresentation
bin10011001001101001100110…
…01100010011110111101101
312112002222001022001101022000
421210310303030103313231
521004434422334434123
6225322241242242513
711604364503652656
oct1144646314236755
9175088038041260
1042113013202413
111246703508359a
12488194aab6439
131a6631768362a
14a583d03d052d
154d06c95e2b43
hex264d33313ded

42113013202413 has 32 divisors (see below), whose sum is σ = 62423254732800. Its totient is φ = 28060221894768.

The previous prime is 42113013202369. The next prime is 42113013202441. The reversal of 42113013202413 is 31420231031124.

42113013202413 is a `hidden beast` number, since 4 + 2 + 1 + 1 + 30 + 13 + 202 + 413 = 666.

It is not a de Polignac number, because 42113013202413 - 213 = 42113013194221 is a prime.

It is a super-2 number, since 2×421130132024132 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42113013202493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 944999670 + ... + 945044232.

It is an arithmetic number, because the mean of its divisors is an integer number (1950726710400).

Almost surely, 242113013202413 is an apocalyptic number.

It is an amenable number.

42113013202413 is a deficient number, since it is larger than the sum of its proper divisors (20310241530387).

42113013202413 is a wasteful number, since it uses less digits than its factorization.

42113013202413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62638 (or 62632 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 42113013202413 its reverse (31420231031124), we get a palindrome (73533244233537).

The spelling of 42113013202413 in words is "forty-two trillion, one hundred thirteen billion, thirteen million, two hundred two thousand, four hundred thirteen".

Divisors: 1 3 9 27 2207 6621 15859 19863 44563 47577 59589 133689 142731 401067 428193 1203201 35000813 98350541 105002439 295051623 315007317 706724617 885154869 945021951 2120173851 2655464607 6360521553 19081564659 1559741229719 4679223689157 14037671067471 42113013202413