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30034243330312 = 231314916061120677
BaseRepresentation
bin1101101010000111001000…
…11001111010000100001000
310221100020122001120011202011
412311003210121322010020
512414040112243032222
6143513312500345304
76216621356034364
oct665034431720410
9127306561504664
1030034243330312
11962a4a6406a41
123450a073a5234
13139b2a8971690
1475b9451aa2a4
153713d61e0c77
hex1b50e467a108

30034243330312 has 64 divisors (see below), whose sum is σ = 61057396134000. Its totient is φ = 13767953802240.

The previous prime is 30034243330279. The next prime is 30034243330321. The reversal of 30034243330312 is 21303334243003.

It can be written as a sum of positive squares in 8 ways, for example, as 3208203993316 + 26826039336996 = 1791146^2 + 5179386^2 .

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 15 ways as a sum of consecutive naturals, for example, 248820918 + ... + 248941594.

Almost surely, 230034243330312 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 30034243330312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30528698067000).

30034243330312 is an abundant number, since it is smaller than the sum of its proper divisors (31023152803688).

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

30034243330312 is a wasteful number, since it uses less digits than its factorization.

30034243330312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136906 (or 136902 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 31.

Adding to 30034243330312 its reverse (21303334243003), we get a palindrome (51337577573315).

The spelling of 30034243330312 in words is "thirty trillion, thirty-four billion, two hundred forty-three million, three hundred thirty thousand, three hundred twelve".

Divisors: 1 2 4 8 13 26 52 104 149 298 596 1192 1937 3874 7748 15496 16061 32122 64244 120677 128488 208793 241354 417586 482708 835172 965416 1568801 1670344 2393089 3137602 4786178 6275204 9572356 12550408 17980873 19144712 31110157 35961746 62220314 71923492 124440628 143846984 233751349 248881256 467502698 935005396 1870010792 1938193297 3876386594 7752773188 15505546376 25196512861 50393025722 100786051444 201572102888 288790801253 577581602506 1155163205012 2310326410024 3754280416289 7508560832578 15017121665156 30034243330312