Base | Representation |
---|---|
bin | 11100101000011000… |
… | …101110110111100000 |
3 | 2221100111010211201100 |
4 | 130220120232313200 |
5 | 1000430014440021 |
6 | 22042311034400 |
7 | 2135552414361 |
oct | 345030566740 |
9 | 87314124640 |
10 | 30742343136 |
11 | 1204628445a |
12 | 5b5b66ba00 |
13 | 2b8c10b6ab |
14 | 16b8c85b68 |
15 | beddb2626 |
hex | 72862ede0 |
30742343136 has 144 divisors (see below), whose sum is σ = 89001581760. Its totient is φ = 10063872000.
The previous prime is 30742343123. The next prime is 30742343141. The reversal of 30742343136 is 63134324703.
30742343136 is a `hidden beast` number, since 307 + 4 + 2 + 34 + 313 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×307423431362 (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 self number, because there is not a number n which added to its sum of digits gives 30742343136.
It is a congruent number.
It is an unprimeable number.
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, 4387636 + ... + 4394636.
It is an arithmetic number, because the mean of its divisors is an integer number (618066540).
Almost surely, 230742343136 is an apocalyptic number.
30742343136 is a gapful number since it is divisible by the number (36) 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 30742343136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44500790880).
30742343136 is an abundant number, since it is smaller than the sum of its proper divisors (58259238624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
30742343136 is a wasteful number, since it uses less digits than its factorization.
30742343136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7289 (or 7278 counting only the distinct ones).
The product of its (nonzero) digits is 108864, while the sum is 36.
Adding to 30742343136 its reverse (63134324703), we get a palindrome (93876667839).
The spelling of 30742343136 in words is "thirty billion, seven hundred forty-two million, three hundred forty-three thousand, one hundred thirty-six".
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