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134410144115205 = 32571891722556371
BaseRepresentation
bin11110100011111011001100…
…111001001110101000000101
3122121220111002001012210201100
4132203323030321032220011
5120104133433343141310
61153511100123450313
740211545446160530
oct3643731471165005
9577814061183640
10134410144115205
1139911027319082
12130a9705386999
1359cca8c4c788a
1425296b2a19a17
1510814b27c5ec0
hex7a3ecce4ea05

134410144115205 has 48 divisors (see below), whose sum is σ = 266274181989504. Its totient is φ = 61441386468480.

The previous prime is 134410144115179. The next prime is 134410144115231. The reversal of 134410144115205 is 502511441014431.

134410144115205 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 1 + 0 + 1 + 441 + 1 + 5 + 205 = 666.

It is an interprime number because it is at equal distance from previous prime (134410144115179) and next prime (134410144115231).

It is not a de Polignac number, because 134410144115205 - 26 = 134410144115141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 134410144115205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5319331 + ... + 17237040.

It is an arithmetic number, because the mean of its divisors is an integer number (5547378791448).

Almost surely, 2134410144115205 is an apocalyptic number.

134410144115205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134410144115205 is a deficient number, since it is larger than the sum of its proper divisors (131864037874299).

134410144115205 is a wasteful number, since it uses less digits than its factorization.

134410144115205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22575306 (or 22575303 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

Adding to 134410144115205 its reverse (502511441014431), we get a palindrome (636921585129636).

The spelling of 134410144115205 in words is "one hundred thirty-four trillion, four hundred ten billion, one hundred forty-four million, one hundred fifteen thousand, two hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 18917 56751 94585 132419 170253 283755 397257 662095 851265 1191771 1986285 5958855 22556371 67669113 112781855 157894597 203007339 338345565 473683791 789472985 1015036695 1421051373 2368418955 7105256865 426698870207 1280096610621 2133494351035 2986892091449 3840289831863 6400483053105 8960676274347 14934460457245 19201449159315 26882028823041 44803381371735 134410144115205