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115145451144 = 233217591594459
BaseRepresentation
bin110101100111100110…
…1000010011010001000
3102000012200110222101200
41223033031002122020
53341304213414034
6124521434344200
711214261120513
oct1531715023210
9360180428350
10115145451144
1144918672779
121a395b8b060
13ab20524059
145804707d7a
152eddbd0a99
hex1acf342688

115145451144 has 96 divisors (see below), whose sum is σ = 335793276000. Its totient is φ = 35511768576.

The previous prime is 115145451101. The next prime is 115145451151. The reversal of 115145451144 is 441154541511.

115145451144 is a `hidden beast` number, since 1 + 1 + 51 + 4 + 54 + 511 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 115145451099 and 115145451108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725014 + ... + 869445.

It is an arithmetic number, because the mean of its divisors is an integer number (3497846625).

Almost surely, 2115145451144 is an apocalyptic number.

It is an amenable number.

115145451144 is an abundant number, since it is smaller than the sum of its proper divisors (220647824856).

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

115145451144 is a wasteful number, since it uses less digits than its factorization.

115145451144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594547 (or 1594540 counting only the distinct ones).

The product of its digits is 32000, while the sum is 36.

Adding to 115145451144 its reverse (441154541511), we get a palindrome (556299992655).

The spelling of 115145451144 in words is "one hundred fifteen billion, one hundred forty-five million, four hundred fifty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 59 68 72 102 118 136 153 177 204 236 306 354 408 472 531 612 708 1003 1062 1224 1416 2006 2124 3009 4012 4248 6018 8024 9027 12036 18054 24072 36108 72216 1594459 3188918 4783377 6377836 9566754 12755672 14350131 19133508 27105803 28700262 38267016 54211606 57400524 81317409 94073081 108423212 114801048 162634818 188146162 216846424 243952227 282219243 325269636 376292324 487904454 564438486 650539272 752584648 846657729 975808908 1128876972 1599242377 1693315458 1951617816 2257753944 3198484754 3386630916 4797727131 6396969508 6773261832 9595454262 12793939016 14393181393 19190908524 28786362786 38381817048 57572725572 115145451144