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243130135245615 = 325127191322169151
BaseRepresentation
bin110111010010000000100101…
…010110000111001100101111
31011212212000101011020210001200
4313102000211112013030233
5223331421004110324430
62221032235303140543
7102132400255102032
oct6722004526071457
91155760334223050
10243130135245615
1170517a02a58262
12233282ba444753
13a5880c5292347
1444077c0429019
151d1958d17b460
hexdd202558732f

243130135245615 has 96 divisors (see below), whose sum is σ = 427106403090432. Its totient is φ = 127933253280000.

The previous prime is 243130135245611. The next prime is 243130135245629. The reversal of 243130135245615 is 516542531031342.

243130135245615 is a `hidden beast` number, since 2 + 4 + 3 + 1 + 3 + 0 + 1 + 3 + 5 + 24 + 5 + 615 = 666.

It is not a de Polignac number, because 243130135245615 - 22 = 243130135245611 is a prime.

It is a super-2 number, since 2×2431301352456152 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243130135245611) 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 95 ways as a sum of consecutive naturals, for example, 3515896290 + ... + 3515965440.

It is an arithmetic number, because the mean of its divisors is an integer number (4449025032192).

Almost surely, 2243130135245615 is an apocalyptic number.

243130135245615 is a deficient number, since it is larger than the sum of its proper divisors (183976267844817).

243130135245615 is a wasteful number, since it uses less digits than its factorization.

243130135245615 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72701 (or 72698 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

Adding to 243130135245615 its reverse (516542531031342), we get a palindrome (759672666276957).

The spelling of 243130135245615 in words is "two hundred forty-three trillion, one hundred thirty billion, one hundred thirty-five million, two hundred forty-five thousand, six hundred fifteen".

Divisors: 1 3 5 9 15 45 127 191 381 573 635 955 1143 1719 1905 2865 3221 5715 8595 9663 16105 24257 28989 48315 69151 72771 121285 144945 207453 218313 345755 363855 409067 615211 622359 1037265 1091565 1227201 1845633 2045335 3076055 3111795 3681603 5536899 6136005 8782177 9228165 13207841 18408015 26346531 27684495 39623523 43910885 66039205 78131797 79039593 118870569 131732655 198117615 222735371 234395391 390658985 395197965 594352845 668206113 703186173 1113676855 1171976955 1677395807 2004618339 3341030565 3515930865 5032187421 8386979035 10023091695 15096562263 25160937105 28287392117 42542455861 75482811315 84862176351 127627367583 141436960585 212712279305 254586529053 382882102749 424310881755 638136837915 1272932645265 1914410513745 5402891894347 16208675683041 27014459471735 48626027049123 81043378415205 243130135245615