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134450041114305 = 325721311017719681
BaseRepresentation
bin11110100100100000010110…
…111100001100111011000001
3122122001022001112110100112200
4132210200112330030323001
5120110312141011124210
61153541255102543413
740214460233110260
oct3644402674147301
9578038045410480
10134450041114305
1139926a40116004
12130b539a897b69
135a0377a125757
14252b5b96545d7
15108254a2140c0
hex7a4816f0cec1

134450041114305 has 96 divisors (see below), whose sum is σ = 266503835689728. Its totient is φ = 61424875929600.

The previous prime is 134450041114303. The next prime is 134450041114307. The reversal of 134450041114305 is 503411140054431.

134450041114305 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 500 + 4 + 1 + 1 + 143 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (134450041114303) and next prime (134450041114307).

It is not a de Polignac number, because 134450041114305 - 21 = 134450041114303 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 134450041114305.

It is not an unprimeable number, because it can be changed into a prime (134450041114303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6831454065 + ... + 6831473745.

It is an arithmetic number, because the mean of its divisors is an integer number (2776081621768).

Almost surely, 2134450041114305 is an apocalyptic number.

134450041114305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134450041114305 is a deficient number, since it is larger than the sum of its proper divisors (132053794575423).

134450041114305 is a wasteful number, since it uses less digits than its factorization.

134450041114305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32007 (or 32004 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 134450041114305 its reverse (503411140054431), we get a palindrome (637861181168736).

The spelling of 134450041114305 in words is "one hundred thirty-four trillion, four hundred fifty billion, forty-one million, one hundred fourteen thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 2131 6393 10177 10655 14917 19179 19681 30531 31965 44751 50885 59043 71239 74585 91593 95895 98405 134253 137767 152655 177129 213717 223755 295215 356195 413301 457965 641151 671265 688835 885645 1068585 1239903 2066505 3205755 6199515 21687187 41940211 65061561 108435935 125820633 151810309 195184683 200293537 209701055 293581477 325307805 377461899 455430927 600880611 629103165 759051545 880744431 975923415 1001467685 1366292781 1402054759 1467907385 1802641833 1887309495 2277154635 2642233293 3004403055 4206164277 4403722155 6831463905 7010273795 9013209165 12618492831 13211166465 21030821385 63092464155 426825527347 1280476582041 2134127636735 2987778691429 3841429746123 6402382910205 8963336074287 14938893457145 19207148730615 26890008222861 44816680371435 134450041114305