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204142324230 = 232513509342791
BaseRepresentation
bin1011111000011111010…
…1001010101000000110
3201111221000210120002100
42332013311022220012
511321040413333410
6233440502252530
720514560061015
oct2760765125006
9644830716070
10204142324230
1179638024759
1233692a27146
1316334582ac0
149c482c2a7c
15549be5e8c0
hex2f87d4aa06

204142324230 has 96 divisors (see below), whose sum is σ = 572723161920. Its totient is φ = 50151548160.

The previous prime is 204142324147. The next prime is 204142324249. The reversal of 204142324230 is 32423241402.

204142324230 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 4 + 232 + 423 + 0 = 666.

204142324230 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 204142324194 and 204142324203.

It is a congruent number.

It is an unprimeable number.

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, 424135 + ... + 766925.

It is an arithmetic number, because the mean of its divisors is an integer number (5965866270).

Almost surely, 2204142324230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204142324230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286361580960).

204142324230 is an abundant number, since it is smaller than the sum of its proper divisors (368580837690).

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

204142324230 is a wasteful number, since it uses less digits than its factorization.

204142324230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343326 (or 343323 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 204142324230 its reverse (32423241402), we get a palindrome (236565565632).

The spelling of 204142324230 in words is "two hundred four billion, one hundred forty-two million, three hundred twenty-four thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 509 585 1018 1170 1527 2545 3054 4581 5090 6617 7635 9162 13234 15270 19851 22905 33085 39702 45810 59553 66170 99255 119106 198510 297765 342791 595530 685582 1028373 1713955 2056746 3085119 3427910 4456283 5141865 6170238 8912566 10283730 13368849 15425595 22281415 26737698 30851190 40106547 44562830 66844245 80213094 133688490 174480619 200532735 348961238 401065470 523441857 872403095 1046883714 1570325571 1744806190 2268248047 2617209285 3140651142 4536496094 5234418570 6804744141 7851627855 11341240235 13609488282 15703255710 20414232423 22682480470 34023720705 40828464846 68047441410 102071162115 204142324230