Search a number
-
+
42534103550351 = 725363125955893
BaseRepresentation
bin10011010101111001111100…
…01000100000100110001111
312120121012221210211102201112
421222330332020200212033
521033334321002102401
6230243521502002235
711646662510603600
oct1152747610404617
9176535853742645
1042534103550351
1112609680657506
12492b48927637b
131a96c4454ab9a
14a709395c3da7
154db6228333bb
hex26af3e22098f

42534103550351 has 24 divisors (see below), whose sum is σ = 50491896774624. Its totient is φ = 35713230920640.

The previous prime is 42534103550339. The next prime is 42534103550359. The reversal of 42534103550351 is 15305530143524.

42534103550351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42534103550351 - 214 = 42534103533967 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42534103550299 and 42534103550308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42534103550359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11339240 + ... + 14616653.

It is an arithmetic number, because the mean of its divisors is an integer number (2103829032276).

Almost surely, 242534103550351 is an apocalyptic number.

42534103550351 is a deficient number, since it is larger than the sum of its proper divisors (7957793224273).

42534103550351 is a wasteful number, since it uses less digits than its factorization.

42534103550351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25956591 (or 25956584 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 41.

Adding to 42534103550351 its reverse (15305530143524), we get a palindrome (57839633693875).

The spelling of 42534103550351 in words is "forty-two trillion, five hundred thirty-four billion, one hundred three million, five hundred fifty thousand, three hundred fifty-one".

Divisors: 1 7 49 53 371 631 2597 4417 30919 33443 234101 1638707 25955893 181691251 1271838757 1375662329 9629636303 16378168483 67407454121 114647179381 802530255667 868042929599 6076300507193 42534103550351