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30744423540 = 22325971760849
BaseRepresentation
bin11100101000100000…
…101010110001110100
32221100122001112111100
4130220200222301310
51000431033023130
622042423410100
72135606200605
oct345040526164
987318045440
1030744423540
11120474754a6
125b602b3930
132b8c6895bc
1416b9267dac
15bee173c60
hex72882ac74

30744423540 has 72 divisors (see below), whose sum is σ = 94219561800. Its totient is φ = 8113987584.

The previous prime is 30744423497. The next prime is 30744423553. The reversal of 30744423540 is 4532444703.

30744423540 is a `hidden beast` number, since 3 + 0 + 74 + 4 + 42 + 3 + 540 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1384286436 + 29360137104 = 37206^2 + 171348^2 .

It is a super-2 number, since 2×307444235402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 30744423495 and 30744423504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862965 + ... + 897884.

It is an arithmetic number, because the mean of its divisors is an integer number (1308605025).

Almost surely, 230744423540 is an apocalyptic number.

30744423540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30744423540 is an abundant number, since it is smaller than the sum of its proper divisors (63475138260).

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

30744423540 is a wasteful number, since it uses less digits than its factorization.

30744423540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760961 (or 1760956 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 30744423540 in words is "thirty billion, seven hundred forty-four million, four hundred twenty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 97 180 194 291 388 485 582 873 970 1164 1455 1746 1940 2910 3492 4365 5820 8730 17460 1760849 3521698 5282547 7043396 8804245 10565094 15847641 17608490 21130188 26412735 31695282 35216980 52825470 63390564 79238205 105650940 158476410 170802353 316952820 341604706 512407059 683209412 854011765 1024814118 1537221177 1708023530 2049628236 2562035295 3074442354 3416047060 5124070590 6148884708 7686105885 10248141180 15372211770 30744423540