Base | Representation |
---|---|
bin | 1101011011011101110… |
… | …1001011001000010000 |
3 | 211001111122201111101100 |
4 | 3112313131023020100 |
5 | 12234444023114401 |
6 | 253553124304400 |
7 | 22445144242554 |
oct | 3266735131020 |
9 | 731448644340 |
10 | 230711144976 |
11 | 89931476a54 |
12 | 38868842100 |
13 | 189a9b26400 |
14 | b248b65864 |
15 | 6004722b86 |
hex | 35b774b210 |
230711144976 has 135 divisors (see below), whose sum is σ = 699385440429. Its totient is φ = 70964989056.
The previous prime is 230711144971. The next prime is 230711144999. The reversal of 230711144976 is 679441117032.
It is a happy number.
The square root of 230711144976 is 480324.
It is a perfect power (a square), and thus also a powerful number.
230711144976 is a `hidden beast` number, since 23 + 0 + 7 + 111 + 449 + 76 = 666.
230711144976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It can be written as a sum of positive squares in only one way, i.e., 34128867600 + 196582277376 = 184740^2 + 443376^2 .
It is a super-2 number, since 2×2307111449762 (a number of 24 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (230711144971) 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 26 ways as a sum of consecutive naturals, for example, 74929005 + ... + 74932083.
Almost surely, 2230711144976 is an apocalyptic number.
230711144976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
230711144976 is the 480324-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 230711144976
230711144976 is an abundant number, since it is smaller than the sum of its proper divisors (468674295453).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
230711144976 is an equidigital number, since it uses as much as digits as its factorization.
230711144976 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6198 (or 3097 counting only the distinct ones).
The product of its (nonzero) digits is 254016, while the sum is 45.
The spelling of 230711144976 in words is "two hundred thirty billion, seven hundred eleven million, one hundred forty-four thousand, nine hundred seventy-six".
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