Search a number
-
+
3506242205241 = 322989991492819
BaseRepresentation
bin110011000001011100010…
…100100011011000111001
3110102012020001021212111100
4303001130110203120321
5424421241001031431
611242425002522013
7511213644000516
oct63013424433071
913365201255440
103506242205241
111131a97354386
12487649506309
131c5838c8a239
14c19bb17630d
15613133a44e6
hex3305c523639

3506242205241 has 24 divisors (see below), whose sum is σ = 5239798200000. Its totient is φ = 2256639229152.

The previous prime is 3506242205239. The next prime is 3506242205273. The reversal of 3506242205241 is 1425022426053.

3506242205241 is a `hidden beast` number, since 3 + 5 + 0 + 624 + 2 + 2 + 0 + 5 + 24 + 1 = 666.

It is not a de Polignac number, because 3506242205241 - 21 = 3506242205239 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3506242205196 and 3506242205205.

It is not an unprimeable number, because it can be changed into a prime (3506242206241) 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 23 ways as a sum of consecutive naturals, for example, 1602330 + ... + 3095148.

It is an arithmetic number, because the mean of its divisors is an integer number (218324925000).

Almost surely, 23506242205241 is an apocalyptic number.

It is an amenable number.

3506242205241 is a deficient number, since it is larger than the sum of its proper divisors (1733555994759).

3506242205241 is a wasteful number, since it uses less digits than its factorization.

3506242205241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501853 (or 1501850 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 3506242205241 in words is "three trillion, five hundred six billion, two hundred forty-two million, two hundred five thousand, two hundred forty-one".

Divisors: 1 3 9 29 87 261 8999 26997 80991 260971 782913 1492819 2348739 4478457 13435371 43291751 129875253 389625759 13433878181 40301634543 120904903629 389582467249 1168747401747 3506242205241