Search a number
-
+
204240430010421 = 32722907611592821
BaseRepresentation
bin101110011100000101101110…
…010001111001000000110101
3222210011012020201210202220100
4232130011232101321000311
5203232233400040313141
62002214431441024313
761006612152561300
oct5634055621710065
9883135221722810
10204240430010421
115a093975227372
121aaa71b6925099
1389c6a3657726c
14386140a789b37
151892b67ae60b6
hexb9c16e479035

204240430010421 has 36 divisors (see below), whose sum is σ = 343180893779724. Its totient is φ = 116708342486400.

The previous prime is 204240430010401. The next prime is 204240430010431. The reversal of 204240430010421 is 124010034042402.

204240430010421 is a `hidden beast` number, since 204 + 2 + 4 + 0 + 4 + 30 + 0 + 1 + 0 + 421 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 59998192222500 + 144242237787921 = 7745850^2 + 12010089^2 .

It is not a de Polignac number, because 204240430010421 - 237 = 204102991056949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204240430010401) 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 35 ways as a sum of consecutive naturals, for example, 127429191 + ... + 129022011.

Almost surely, 2204240430010421 is an apocalyptic number.

204240430010421 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204240430010421 is a deficient number, since it is larger than the sum of its proper divisors (138940463769303).

204240430010421 is a wasteful number, since it uses less digits than its factorization.

204240430010421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883602 (or 1883592 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 204240430010421 its reverse (124010034042402), we get a palindrome (328250464052823).

The spelling of 204240430010421 in words is "two hundred four trillion, two hundred forty billion, four hundred thirty million, ten thousand, four hundred twenty-one".

Divisors: 1 3 7 9 21 49 63 147 441 290761 872283 1592821 2035327 2616849 4778463 6105981 11149747 14247289 14335389 18317943 33449241 42741867 78048229 100347723 128225601 234144687 702434061 463130226781 1389390680343 3241911587467 4168172041029 9725734762401 22693381112269 29177204287203 68080143336807 204240430010421