Search a number
-
+
30230481744 = 2434175325889
BaseRepresentation
bin11100001001111000…
…001000101101010000
32220000210222120220000
4130021320020231100
5443403000403434
621515424050000
72120065566201
oct341170105520
986023876800
1030230481744
1111903356411
125a38163900
132b0a062728
14166acc35a8
15bbdea4b99
hex709e08b50

30230481744 has 200 divisors, whose sum is σ = 94394215080. Its totient is φ = 9304768512.

The previous prime is 30230481713. The next prime is 30230481821. The reversal of 30230481744 is 44718403203.

30230481744 is a `hidden beast` number, since 302 + 304 + 8 + 1 + 7 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19762736400 + 10467745344 = 140580^2 + 102312^2 .

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 = 30230481699 and 30230481708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1154752 + ... + 1180640.

Almost surely, 230230481744 is an apocalyptic number.

30230481744 is a gapful number since it is divisible by the number (34) 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 30230481744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47197107540).

30230481744 is an abundant number, since it is smaller than the sum of its proper divisors (64163733336).

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

30230481744 is a wasteful number, since it uses less digits than its factorization.

30230481744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25979 (or 25964 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

Adding to 30230481744 its reverse (44718403203), we get a palindrome (74948884947).

The spelling of 30230481744 in words is "thirty billion, two hundred thirty million, four hundred eighty-one thousand, seven hundred forty-four".