Search a number
-
+
204423142241020 = 225172920732570207
BaseRepresentation
bin101110011110101111111000…
…110001101111001011111100
3222210210122212021002210002011
4232132233320301233023330
5203243232043403203040
62002434410050141004
761026041014114243
oct5636577061571374
9883718767083064
10204423142241020
115a15440554953a
121ab166a8881764
138a0b034098191
14386a1c087d95a
1518977ad49d3ea
hexb9ebf8c6f2fc

204423142241020 has 48 divisors (see below), whose sum is σ = 470214692317440. Its totient is φ = 74305531618304.

The previous prime is 204423142240963. The next prime is 204423142241027. The reversal of 204423142241020 is 20142241324402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204423142241027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10366275244 + ... + 10366294963.

It is an arithmetic number, because the mean of its divisors is an integer number (9796139423280).

Almost surely, 2204423142241020 is an apocalyptic number.

204423142241020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204423142241020 is an abundant number, since it is smaller than the sum of its proper divisors (265791550076420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204423142241020 is a wasteful number, since it uses less digits than its factorization.

204423142241020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20732570262 (or 20732570260 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 204423142241020 its reverse (20142241324402), we get a palindrome (224565383565422).

The spelling of 204423142241020 in words is "two hundred four trillion, four hundred twenty-three billion, one hundred forty-two million, two hundred forty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 20732570207 41465140414 82930280828 103662851035 207325702070 352453693519 414651404140 601244536003 704907387038 1202489072006 1409814774076 1762268467595 2404978144012 3006222680015 3524536935190 6012445360030 7049073870380 10221157112051 12024890720060 20442314224102 40884628448204 51105785560255 102211571120510 204423142241020