Base | Representation |
---|---|
bin | 1101101010000101011… |
… | …1000001001111010000 |
3 | 211102122010220022110100 |
4 | 3122201113001033100 |
5 | 12321013130301034 |
6 | 255442350532400 |
7 | 22644324664665 |
oct | 3324127011720 |
9 | 742563808410 |
10 | 234635400144 |
11 | 90565625a42 |
12 | 39582b07100 |
13 | 19183b474a2 |
14 | b4dbddda6c |
15 | 6183ed5099 |
hex | 36a15c13d0 |
234635400144 has 60 divisors (see below), whose sum is σ = 658990195812. Its totient is φ = 77933452800.
The previous prime is 234635400127. The next prime is 234635400157. The reversal of 234635400144 is 441004536432.
234635400144 is a `hidden beast` number, since 2 + 3 + 4 + 635 + 4 + 0 + 0 + 14 + 4 = 666.
234635400144 is digitally balanced in base 3, 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 2 ways, for example, as 192380486544 + 42254913600 = 438612^2 + 205560^2 .
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 = 234635400099 and 234635400108.
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 11 ways as a sum of consecutive naturals, for example, 2858847 + ... + 2939774.
Almost surely, 2234635400144 is an apocalyptic number.
234635400144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
234635400144 is an abundant number, since it is smaller than the sum of its proper divisors (424354795668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
234635400144 is a wasteful number, since it uses less digits than its factorization.
234635400144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5798916 (or 5798907 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
Adding to 234635400144 its reverse (441004536432), we get a palindrome (675639936576).
The spelling of 234635400144 in words is "two hundred thirty-four billion, six hundred thirty-five million, four hundred thousand, one hundred forty-four".
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