Search a number
-
+
30043682740224 = 211326141963773
BaseRepresentation
bin1101101010011000101110…
…00010011001100000000000
310221101010222220110212211200
412311030113002121200000
512414213430240141344
6143521513255541200
76220404315510036
oct665142702314000
9127333886425750
1030043682740224
1196334aa74035a
12345280068a800
13139c15148132a
1475c19cac4556
15371789c68069
hex1b5317099800

30043682740224 has 288 divisors, whose sum is σ = 88406031495600. Its totient is φ = 9826724413440.

The previous prime is 30043682740153. The next prime is 30043682740229. The reversal of 30043682740224 is 42204728634003.

30043682740224 is a `hidden beast` number, since 3 + 0 + 0 + 4 + 368 + 27 + 40 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 30043682740224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30043682740229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471071602 + ... + 471135374.

Almost surely, 230043682740224 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 30043682740224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44203015747800).

30043682740224 is an abundant number, since it is smaller than the sum of its proper divisors (58362348755376).

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

30043682740224 is a wasteful number, since it uses less digits than its factorization.

30043682740224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64281 (or 64258 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 30043682740224 in words is "thirty trillion, forty-three billion, six hundred eighty-two million, seven hundred forty thousand, two hundred twenty-four".