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30430124434000 = 245315215062217
BaseRepresentation
bin1101110101101000100001…
…10000011110001001010000
310222202002110200200221012201
412322310100300132021100
512442031343323342000
6144415223422332544
76260334564635344
oct672642060361120
9128662420627181
1030430124434000
119772385a275a5
1234b568b12a154
1313c9718b5c865
14772b7c309624
1537b8561ca96a
hex1bad10c1e250

30430124434000 has 40 divisors (see below), whose sum is σ = 73580040886248. Its totient is φ = 12172049772800.

The previous prime is 30430124433911. The next prime is 30430124434009. The reversal of 30430124434000 is 43442103403.

It can be written as a sum of positive squares in 4 ways, for example, as 1941474383424 + 28488650050576 = 1393368^2 + 5337476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 30430124434000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30430124434009) 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 7 ways as a sum of consecutive naturals, for example, 7607529109 + ... + 7607533108.

Almost surely, 230430124434000 is an apocalyptic number.

It is an amenable number.

30430124434000 is an abundant number, since it is smaller than the sum of its proper divisors (43149916452248).

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

30430124434000 is a wasteful number, since it uses less digits than its factorization.

30430124434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15215062240 (or 15215062224 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 30430124434000 its reverse (43442103403), we get a palindrome (30473566537403).

The spelling of 30430124434000 in words is "thirty trillion, four hundred thirty billion, one hundred twenty-four million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 15215062217 30430124434 60860248868 76075311085 121720497736 152150622170 243440995472 304301244340 380376555425 608602488680 760753110850 1217204977360 1521506221700 1901882777125 3043012443400 3803765554250 6086024886800 7607531108500 15215062217000 30430124434000