Search a number
-
+
204111140624523 = 321119193562238531
BaseRepresentation
bin101110011010001101010100…
…000010000001100010001011
3222202200211112100000110120100
4232122031110002001202023
5203223124103444441043
62002035210304500443
760664354225123206
oct5632152402014213
9882624470013510
10204111140624523
115a044059797120
121aa8613401a723
1389b77a098a062
14385906381c93d
15188e5ec34ecd3
hexb9a35408188b

204111140624523 has 48 divisors (see below), whose sum is σ = 340311738648960. Its totient is φ = 116585781580800.

The previous prime is 204111140624509. The next prime is 204111140624543. The reversal of 204111140624523 is 325426041111402.

204111140624523 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 1 + 1 + 1 + 4 + 0 + 624 + 5 + 23 = 666.

It is not a de Polignac number, because 204111140624523 - 24 = 204111140624507 is a prime.

It is a super-2 number, since 2×2041111406245232 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (204111140624543) 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 47 ways as a sum of consecutive naturals, for example, 280756233 + ... + 281482298.

It is an arithmetic number, because the mean of its divisors is an integer number (7089827888520).

Almost surely, 2204111140624523 is an apocalyptic number.

204111140624523 is a deficient number, since it is larger than the sum of its proper divisors (136200598024437).

204111140624523 is a wasteful number, since it uses less digits than its factorization.

204111140624523 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562238760 (or 562238757 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 204111140624523 its reverse (325426041111402), we get a palindrome (529537181735925).

The spelling of 204111140624523 in words is "two hundred four trillion, one hundred eleven billion, one hundred forty million, six hundred twenty-four thousand, five hundred twenty-three".

Divisors: 1 3 9 11 19 33 57 99 171 193 209 579 627 1737 1881 2123 3667 6369 11001 19107 33003 40337 121011 363033 562238531 1686715593 5060146779 6184623841 10682532089 18553871523 32047596267 55661614569 96142788801 108512036483 117507852979 325536109449 352523558937 976608328347 1057570676811 1193632401313 2061728693177 3580897203939 6185186079531 10742691611817 18555558238593 22679015624947 68037046874841 204111140624523