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331302144042 = 232169310871633
BaseRepresentation
bin1001101001000110010…
…01011000100000101010
31011200011000102200221100
410310203021120200222
520412001322102132
6412110442422230
732635655521452
oct4644311304052
91150130380840
10331302144042
11118560472431
1254260501976
132531abcc82c
141206c4a8d62
15894079d37c
hex4d2325882a

331302144042 has 24 divisors (see below), whose sum is σ = 718245371844. Its totient is φ = 110368808064.

The previous prime is 331302144001. The next prime is 331302144167. The reversal of 331302144042 is 240441203133.

331302144042 is a `hidden beast` number, since 33 + 13 + 0 + 214 + 404 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 317057960241 + 14244183801 = 563079^2 + 119349^2 .

It is a super-2 number, since 2×3313021440422 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 331302143997 and 331302144015.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5405343 + ... + 5466290.

Almost surely, 2331302144042 is an apocalyptic number.

331302144042 is an abundant number, since it is smaller than the sum of its proper divisors (386943227802).

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

331302144042 is a wasteful number, since it uses less digits than its factorization.

331302144042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10873334 (or 10873331 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 331302144042 its reverse (240441203133), we get a palindrome (571743347175).

The spelling of 331302144042 in words is "three hundred thirty-one billion, three hundred two million, one hundred forty-four thousand, forty-two".

Divisors: 1 2 3 6 9 18 1693 3386 5079 10158 15237 30474 10871633 21743266 32614899 65229798 97844697 195689394 18405674669 36811349338 55217024007 110434048014 165651072021 331302144042