Search a number
-
+
5041344301540 = 2257359313734241
BaseRepresentation
bin100100101011100011110…
…0010010100100111100100
3122211221120221201020221121
41021113013202110213210
51130044133120122130
614415543412223324
71030140132345331
oct111270742244744
918757527636847
105041344301540
111674027481208
1269506800ab44
132a75207c3211
141360066c7988
158b20c249d7a
hex495c78949e4

5041344301540 has 96 divisors (see below), whose sum is σ = 10760311701216. Its totient is φ = 1983645941760.

The previous prime is 5041344301529. The next prime is 5041344301589. The reversal of 5041344301540 is 451034431405.

It can be written as a sum of positive squares in 16 ways, for example, as 435101182884 + 4606243118656 = 659622^2 + 2146216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5041344301496 and 5041344301505.

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, 1188713820 + ... + 1188718060.

It is an arithmetic number, because the mean of its divisors is an integer number (112086580221).

Almost surely, 25041344301540 is an apocalyptic number.

It is an amenable number.

5041344301540 is an abundant number, since it is smaller than the sum of its proper divisors (5718967399676).

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

5041344301540 is a wasteful number, since it uses less digits than its factorization.

5041344301540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6289 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

Adding to 5041344301540 its reverse (451034431405), we get a palindrome (5492378732945).

The spelling of 5041344301540 in words is "five trillion, forty-one billion, three hundred forty-four million, three hundred one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 73 146 292 365 593 730 1186 1373 1460 2372 2746 2965 4241 5492 5930 6865 8482 11860 13730 16964 21205 27460 42410 43289 84820 86578 100229 173156 200458 216445 309593 400916 432890 501145 619186 814189 865780 1002290 1238372 1547965 1628378 2004580 2514913 3095930 3256756 4070945 5029826 5822893 6191860 8141890 10059652 11645786 12574565 16283780 23291572 25149130 29114465 50298260 58228930 59435797 116457860 118871594 183588649 237743188 297178985 367177298 425071189 594357970 734354596 850142378 917943245 1188715940 1700284756 1835886490 2125355945 3452975549 3671772980 4250711890 6905951098 8501423780 13811902196 17264877745 34529755490 69059510980 252067215077 504134430154 1008268860308 1260336075385 2520672150770 5041344301540