Base | Representation |
---|---|
bin | 1101111111010110110… |
… | …1011111000110000010 |
3 | 211222101002112121221100 |
4 | 3133311231133012002 |
5 | 12414211424334132 |
6 | 302225131035230 |
7 | 23235662256633 |
oct | 3376555370602 |
9 | 758332477840 |
10 | 240345543042 |
11 | 92a2587a900 |
12 | 3a6b729bb16 |
13 | 19883b57077 |
14 | b8c051988a |
15 | 63ba46437c |
hex | 37f5b5f182 |
240345543042 has 144 divisors (see below), whose sum is σ = 581693583744. Its totient is φ = 71657784000.
The previous prime is 240345543017. The next prime is 240345543043.
240345543042 is a `hidden beast` number, since 2 + 4 + 0 + 34 + 554 + 30 + 42 = 666.
240345543042 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×2403455430422 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 240345542988 and 240345543006.
It is not an unprimeable number, because it can be changed into a prime (240345543043) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35853063 + ... + 35859765.
It is an arithmetic number, because the mean of its divisors is an integer number (4039538776).
Almost surely, 2240345543042 is an apocalyptic number.
240345543042 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 240345543042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290846791872).
240345543042 is an abundant number, since it is smaller than the sum of its proper divisors (341348040702).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240345543042 is a wasteful number, since it uses less digits than its factorization.
240345543042 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6997 (or 6983 counting only the distinct ones).
The product of its (nonzero) digits is 230400, while the sum is 36.
It can be divided in two parts, 240345 and 543042, that added together give a palindrome (783387).
The spelling of 240345543042 in words is "two hundred forty billion, three hundred forty-five million, five hundred forty-three thousand, forty-two".
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