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204434133234540 = 223511595249977741
BaseRepresentation
bin101110011110111010000111…
…111001000011001101101100
3222210211201020020121002202020
4232132322013321003031230
5203243422101102001130
62002443424433230140
761026610254036156
oct5636720771031554
9883751206532666
10204434133234540
115a159035695660
121ab18855702350
138a0c09618b241
14386a944487ad6
151897c0335de10
hexb9ee87e4336c

204434133234540 has 96 divisors (see below), whose sum is σ = 635037307672320. Its totient is φ = 48719793427200.

The previous prime is 204434133234521. The next prime is 204434133234607. The reversal of 204434133234540 is 45432331434402.

It is a junction number, because it is equal to n+sod(n) for n = 204434133234492 and 204434133234501.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2624949931 + ... + 2625027810.

It is an arithmetic number, because the mean of its divisors is an integer number (6614971954920).

Almost surely, 2204434133234540 is an apocalyptic number.

204434133234540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204434133234540 is an abundant number, since it is smaller than the sum of its proper divisors (430603174437780).

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

204434133234540 is a wasteful number, since it uses less digits than its factorization.

204434133234540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249977823 (or 5249977821 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 42.

Adding to 204434133234540 its reverse (45432331434402), we get a palindrome (249866464668942).

The spelling of 204434133234540 in words is "two hundred four trillion, four hundred thirty-four billion, one hundred thirty-three million, two hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 12980 19470 38940 5249977741 10499955482 15749933223 20999910964 26249888705 31499866446 52499777410 57749755151 62999732892 78749666115 104999554820 115499510302 157499332230 173249265453 230999020604 288748775755 309748686719 314998664460 346498530906 577497551510 619497373438 692997061812 866246327265 929246060157 1154995103020 1238994746876 1548743433595 1732492654530 1858492120314 3097486867190 3407235553909 3464985309060 3716984240628 4646230300785 6194973734380 6814471107818 9292460601570 10221706661727 13628942215636 17036177769545 18584921203140 20443413323454 34072355539090 40886826646908 51108533308635 68144711078180 102217066617270 204434133234540