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512300442141243 = 32725963293110993
BaseRepresentation
bin111010001111011110011110…
…1110111110100001000111011
32111011220102222122112212201200
41310132330331313310020323
51014122012301142004433
65013323324001345243
7212623325351151300
oct16436747567641073
92434812878485650
10512300442141243
11139264440a42158
124955b311638223
1318cb1955689ac2
14907168bb910a7
153e3619bc17613
hex1d1ef3ddf423b

512300442141243 has 72 divisors (see below), whose sum is σ = 875532641209200. Its totient is φ = 287735799407616.

The previous prime is 512300442141221. The next prime is 512300442141317. The reversal of 512300442141243 is 342141244003215.

512300442141243 is a `hidden beast` number, since 5 + 1 + 2 + 30 + 0 + 442 + 141 + 2 + 43 = 666.

It is not a de Polignac number, because 512300442141243 - 26 = 512300442141179 is a prime.

It is a super-2 number, since 2×5123004421412432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 512300442141198 and 512300442141207.

It is not an unprimeable number, because it can be changed into a prime (512300442141203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 163118755 + ... + 166229747.

It is an arithmetic number, because the mean of its divisors is an integer number (12160175572350).

Almost surely, 2512300442141243 is an apocalyptic number.

512300442141243 is a deficient number, since it is larger than the sum of its proper divisors (363232199067957).

512300442141243 is a wasteful number, since it uses less digits than its factorization.

512300442141243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3117401 (or 3117391 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 512300442141243 its reverse (342141244003215), we get a palindrome (854441686144458).

The spelling of 512300442141243 in words is "five hundred twelve trillion, three hundred billion, four hundred forty-two million, one hundred forty-one thousand, two hundred forty-three".

Divisors: 1 3 7 9 21 49 59 63 147 177 413 441 531 1239 2891 3717 6329 8673 18987 26019 44303 56961 132909 310121 373411 398727 930363 1120233 2613877 2791089 3110993 3360699 7841631 9332979 18297139 21776951 23524893 27998937 54891417 65330853 152438657 164674251 183548587 195992559 457315971 550645761 1284840109 1371947913 1651937283 3854520327 8993880763 11563560981 19689474697 26981642289 59068424091 80944926867 137826322879 177205272273 413478968637 964784260153 1161679007123 1240436905911 2894352780459 3485037021369 8131753049861 8683058341377 10455111064107 24395259149583 56922271349027 73185777448749 170766814047081 512300442141243