Search a number
-
+
12363431133042 = 2321125717992917
BaseRepresentation
bin1011001111101001010111…
…1010111011111101110010
31121202221011202212112222100
42303322111322323331302
53110030301332224132
642143403140321230
72414141230455033
oct263722572737562
947687152775870
1012363431133042
113a37335619200
1214781480a3216
136b8b35a820c2
1430a571166a8a
1516690418937c
hexb3e95ebbf72

12363431133042 has 72 divisors (see below), whose sum is σ = 29449219078188. Its totient is φ = 3745835184960.

The previous prime is 12363431133019. The next prime is 12363431133071. The reversal of 12363431133042 is 24033113436321.

12363431133042 is a `hidden beast` number, since 1 + 2 + 3 + 6 + 3 + 4 + 311 + 330 + 4 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11777944473801 + 585486659241 = 3431901^2 + 765171^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12363431132988 and 12363431133006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11955168 + ... + 12948084.

Almost surely, 212363431133042 is an apocalyptic number.

12363431133042 is an abundant number, since it is smaller than the sum of its proper divisors (17085787945146).

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

12363431133042 is a wasteful number, since it uses less digits than its factorization.

12363431133042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998664 (or 998650 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

Adding to 12363431133042 its reverse (24033113436321), we get a palindrome (36396544569363).

The spelling of 12363431133042 in words is "twelve trillion, three hundred sixty-three billion, four hundred thirty-one million, one hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 5717 11434 17151 34302 51453 62887 102906 125774 188661 377322 565983 691757 992917 1131966 1383514 1985834 2075271 2978751 4150542 5957502 6225813 8936253 10922087 12451626 17872506 21844174 32766261 65532522 98298783 120142957 196597566 240285914 360428871 720857742 1081286613 2162573226 5676506489 11353012978 17029519467 34059038934 51088558401 62441571379 102177116802 124883142758 187324714137 374649428274 561974142411 686857285169 1123948284822 1373714570338 2060571855507 4121143711014 6181715566521 12363431133042