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534141503124012 = 2232748714932915191
BaseRepresentation
bin111100101110011001000001…
…0100011011011001000101100
32121001020102120202001121002200
41321130302002203123020230
51030002333244244432022
65132005115150021500
7220336310246305260
oct17134620243331054
92531212522047080
10534141503124012
11145215159522983
124baa82507a7890
1319c07434a07834
1495c882dc4c0a0
1541b43a6318bac
hex1e5cc828db22c

534141503124012 has 144 divisors (see below), whose sum is σ = 1547280179407872. Its totient is φ = 152196426092160.

The previous prime is 534141503123983. The next prime is 534141503124013. The reversal of 534141503124012 is 210421305141435.

534141503124012 is a `hidden beast` number, since 5 + 3 + 4 + 14 + 1 + 503 + 124 + 0 + 12 = 666.

It is a super-2 number, since 2×5341415031240122 (a number of 30 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (534141503124013) 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 47 ways as a sum of consecutive naturals, for example, 181769337 + ... + 184684527.

It is an arithmetic number, because the mean of its divisors is an integer number (10745001245888).

Almost surely, 2534141503124012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534141503124012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773640089703936).

534141503124012 is an abundant number, since it is smaller than the sum of its proper divisors (1013138676283860).

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

534141503124012 is a wasteful number, since it uses less digits than its factorization.

534141503124012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917188 (or 2917183 counting only the distinct ones).

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

Adding to 534141503124012 its reverse (210421305141435), we get a palindrome (744562808265447).

The spelling of 534141503124012 in words is "five hundred thirty-four trillion, one hundred forty-one billion, five hundred three million, one hundred twenty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 487 974 1461 1493 1948 2922 2986 3409 4383 4479 5844 5972 6818 8766 8958 10227 10451 13437 13636 17532 17916 20454 20902 26874 30681 31353 40908 41804 53748 61362 62706 94059 122724 125412 188118 376236 727091 1454182 2181273 2908364 2915191 4362546 5089637 5830382 6543819 8725092 8745573 10179274 11660764 13087638 15268911 17491146 20358548 20406337 26175276 26236719 30537822 34982292 40812674 45806733 52473438 61075644 61219011 81625348 91613466 104946876 122438022 183226932 183657033 244876044 367314066 734628132 1419698017 2839396034 4259094051 4352380163 5678792068 8518188102 8704760326 9937886119 12777282153 13057140489 17036376204 17409520652 19875772238 25554564306 26114280978 29813658357 30466661141 39171421467 39751544476 51109128612 52228561956 59627316714 60933322282 78342842934 89440975071 91399983423 119254633428 121866644564 156685685868 178881950142 182799966846 274199950269 357763900284 365599933692 548399900538 1096799801076 2119609139381 4239218278762 6358827418143 8478436557524 12717654836286 14837263975667 19076482254429 25435309672572 29674527951334 38152964508858 44511791927001 59349055902668 76305929017716 89023583854002 133535375781003 178047167708004 267070751562006 534141503124012