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134324443305 = 325131051321841
BaseRepresentation
bin111110100011001011…
…1000101100010101001
3110211201022010201121200
41331012113011202221
54200044024141210
6141412514554413
712463453633533
oct1750627054251
9424638121550
10134324443305
1151a6a712418
1222048b98a09
13c888aa1a20
146703956853
1537628250c0
hex1f465c58a9

134324443305 has 48 divisors (see below), whose sum is σ = 250774292496. Its totient is φ = 66119639040.

The previous prime is 134324443289. The next prime is 134324443349. The reversal of 134324443305 is 503344423431.

It is a happy number.

134324443305 is a `hidden beast` number, since 1 + 343 + 2 + 4 + 4 + 4 + 3 + 305 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 99898980624 + 34425462681 = 316068^2 + 185541^2 .

It is not a de Polignac number, because 134324443305 - 24 = 134324443289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 134324443305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6139185 + ... + 6161025.

It is an arithmetic number, because the mean of its divisors is an integer number (5224464427).

Almost surely, 2134324443305 is an apocalyptic number.

134324443305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134324443305 is a deficient number, since it is larger than the sum of its proper divisors (116449849191).

134324443305 is a wasteful number, since it uses less digits than its factorization.

134324443305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32378 (or 32375 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 36.

Adding to 134324443305 its reverse (503344423431), we get a palindrome (637668866736).

The spelling of 134324443305 in words is "one hundred thirty-four billion, three hundred twenty-four million, four hundred forty-three thousand, three hundred five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 10513 21841 31539 52565 65523 94617 109205 136669 157695 196569 283933 327615 410007 473085 683345 851799 982845 1230021 1419665 2050035 2555397 4258995 6150105 12776985 229614433 688843299 1148072165 2066529897 2984987629 3444216495 8954962887 10332649485 14924938145 26864888661 44774814435 134324443305