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30442243248 = 2432619073821
BaseRepresentation
bin11100010110011111…
…111100010010110000
32220120120110012001200
4130112133330102300
5444321203240443
621552430531200
72125246540524
oct342637742260
986516405050
1030442243248
1111a01941a1a
125a97066b00
132b41ba72b1
14168b087d84
15bd2883dd3
hex7167fc4b0

30442243248 has 120 divisors (see below), whose sum is σ = 86710814736. Its totient is φ = 9967449600.

The previous prime is 30442243243. The next prime is 30442243267. The reversal of 30442243248 is 84234224403.

30442243248 is a `hidden beast` number, since 304 + 4 + 2 + 24 + 324 + 8 = 666.

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 (30442243243) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 7965178 + ... + 7968998.

Almost surely, 230442243248 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 30442243248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43355407368).

30442243248 is an abundant number, since it is smaller than the sum of its proper divisors (56268571488).

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

30442243248 is a wasteful number, since it uses less digits than its factorization.

30442243248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 30442243248 in words is "thirty billion, four hundred forty-two million, two hundred forty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 907 976 1098 1464 1814 2196 2721 2928 3628 3821 4392 5442 7256 7642 8163 8784 10884 11463 14512 15284 16326 21768 22926 30568 32652 34389 43536 45852 55327 61136 65304 68778 91704 110654 130608 137556 165981 183408 221308 233081 275112 331962 442616 466162 497943 550224 663924 699243 885232 932324 995886 1327848 1398486 1864648 1991772 2097729 2655696 2796972 3465647 3729296 3983544 4195458 5593944 6931294 7967088 8390916 10396941 11187888 13862588 16781832 20793882 27725176 31190823 33563664 41587764 55450352 62381646 83175528 124763292 166351056 211404467 249526584 422808934 499053168 634213401 845617868 1268426802 1691235736 1902640203 2536853604 3382471472 3805280406 5073707208 7610560812 10147414416 15221121624 30442243248