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115130134224 = 2432732330947
BaseRepresentation
bin110101100111001001…
…0100110111011010000
3102000011121122210112100
41223032102212323100
53341241303243344
6124520130200400
711214013665000
oct1531622467320
9360147583470
10115130134224
114490aa60966
121a390a23100
13ab1a2c03a1
14580267c000
152edc6a7569
hex1ace4a6ed0

115130134224 has 120 divisors (see below), whose sum is σ = 375748817600. Its totient is φ = 32894309952.

The previous prime is 115130134187. The next prime is 115130134237. The reversal of 115130134224 is 422431031511.

115130134224 is a `hidden beast` number, since 1 + 15 + 1 + 301 + 342 + 2 + 4 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1116082 + ... + 1214865.

Almost surely, 2115130134224 is an apocalyptic number.

115130134224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

115130134224 is an abundant number, since it is smaller than the sum of its proper divisors (260618683376).

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

115130134224 is a wasteful number, since it uses less digits than its factorization.

115130134224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2330982 (or 2330959 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 115130134224 its reverse (422431031511), we get a palindrome (537561165735).

The spelling of 115130134224 in words is "one hundred fifteen billion, one hundred thirty million, one hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 343 392 441 504 588 686 784 882 1008 1029 1176 1372 1764 2058 2352 2744 3087 3528 4116 5488 6174 7056 8232 12348 16464 24696 49392 2330947 4661894 6992841 9323788 13985682 16316629 18647576 20978523 27971364 32633258 37295152 41957046 48949887 55942728 65266516 83914092 97899774 111885456 114216403 130533032 146849661 167828184 195799548 228432806 261066064 293699322 335656368 342649209 391599096 456865612 587398644 685298418 783198192 799514821 913731224 1027947627 1174797288 1370596836 1599029642 1827462448 2055895254 2349594576 2398544463 2741193672 3198059284 4111790508 4797088926 5482387344 6396118568 7195633389 8223581016 9594177852 12792237136 14391266778 16447162032 19188355704 28782533556 38376711408 57565067112 115130134224