Search a number
-
+
30424323443112 = 23323723349015201
BaseRepresentation
bin1101110101011101101101…
…11111011100100110101000
310222201112111102010001201100
412322232312333130212220
512441433003300134422
6144412424035121400
76260041045216434
oct672566677344650
9128645442101640
1030424323443112
11976a979472255
1234b4530443260
1313c9003092081
1477278bb019c4
1537b616ca37ac
hex1babb6fdc9a8

30424323443112 has 96 divisors (see below), whose sum is σ = 84989419355880. Its totient is φ = 9824998809600.

The previous prime is 30424323443071. The next prime is 30424323443119. The reversal of 30424323443112 is 21134432342403.

30424323443112 is a `hidden beast` number, since 3 + 0 + 42 + 43 + 23 + 443 + 112 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27556767298116 + 2867556144996 = 5249454^2 + 1693386^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30424323443119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23886889 + ... + 25128312.

Almost surely, 230424323443112 is an apocalyptic number.

It is an amenable number.

30424323443112 is an abundant number, since it is smaller than the sum of its proper divisors (54565095912768).

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

30424323443112 is a wasteful number, since it uses less digits than its factorization.

30424323443112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49015483 (or 49015476 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 30424323443112 its reverse (21134432342403), we get a palindrome (51558755785515).

The spelling of 30424323443112 in words is "thirty trillion, four hundred twenty-four billion, three hundred twenty-three million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 233 296 333 444 466 666 699 888 932 1332 1398 1864 2097 2664 2796 4194 5592 8388 8621 16776 17242 25863 34484 51726 68968 77589 103452 155178 206904 310356 620712 49015201 98030402 147045603 196060804 294091206 392121608 441136809 588182412 882273618 1176364824 1764547236 1813562437 3529094472 3627124874 5440687311 7254249748 10881374622 11420541833 14508499496 16322061933 21762749244 22841083666 32644123866 34261625499 43525498488 45682167332 65288247732 68523250998 91364334664 102784876497 130576495464 137046501996 205569752994 274093003992 411139505988 422560047821 822279011976 845120095642 1267680143463 1690240191284 2535360286926 3380480382568 3803040430389 5070720573852 7606080860778 10141441147704 15212161721556 30424323443112