Search a number
-
+
30342241004040 = 23325717853830327
BaseRepresentation
bin1101110011000100110100…
…11111110010101000001000
310222102200121221112010100100
412321202122133302220020
512434111402144112130
6144311011051405400
76251104006051050
oct671423237625010
9128380557463310
1030342241004040
119739088031949
1234a0643153860
1313c13516aa5b4
1476c80256c560
15379410a8ac60
hex1b989a7f2a08

30342241004040 has 384 divisors, whose sum is σ = 119469186869760. Its totient is φ = 6519746322432.

The previous prime is 30342241004027. The next prime is 30342241004071. The reversal of 30342241004040 is 4040014224303.

It is a happy number.

30342241004040 is a `hidden beast` number, since 3 + 0 + 34 + 224 + 1 + 0 + 0 + 404 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30342241003995 and 30342241004013.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36127357 + ... + 36957683.

It is an arithmetic number, because the mean of its divisors is an integer number (311117674140).

Almost surely, 230342241004040 is an apocalyptic number.

30342241004040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30342241004040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59734593434880).

30342241004040 is an abundant number, since it is smaller than the sum of its proper divisors (89126945865720).

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

30342241004040 is a wasteful number, since it uses less digits than its factorization.

30342241004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831221 (or 831214 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30342241004040 its reverse (4040014224303), we get a palindrome (34382255228343).

The spelling of 30342241004040 in words is "thirty trillion, three hundred forty-two billion, two hundred forty-one million, four thousand, forty".