Base | Representation |
---|---|
bin | 11110010001001010111… |
… | …11001101001010110000 |
3 | 10200102110011012222201200 |
4 | 33020211133031022300 |
5 | 114014420310214044 |
6 | 2113435141331200 |
7 | 135065304556641 |
oct | 17104537151260 |
9 | 3612404188650 |
10 | 1040011023024 |
11 | 371080122776 |
12 | 149689706b00 |
13 | 770c370a4ac |
14 | 384a02836c8 |
15 | 1c0be1c9369 |
hex | f2257cd2b0 |
1040011023024 has 120 divisors (see below), whose sum is σ = 2931640612992. Its totient is φ = 344166451200.
The previous prime is 1040011022969. The next prime is 1040011023053. The reversal of 1040011023024 is 4203201100401.
1040011023024 is a `hidden beast` number, since 1 + 0 + 400 + 1 + 10 + 230 + 24 = 666.
1040011023024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×10400110230242 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 1040011022988 and 1040011023006.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27133057 + ... + 27171359.
Almost surely, 21040011023024 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1040011023024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465820306496).
1040011023024 is an abundant number, since it is smaller than the sum of its proper divisors (1891629589968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1040011023024 is a wasteful number, since it uses less digits than its factorization.
1040011023024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 39675 (or 39666 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
Adding to 1040011023024 its reverse (4203201100401), we get a palindrome (5243212123425).
The spelling of 1040011023024 in words is "one trillion, forty billion, eleven million, twenty-three thousand, twenty-four".
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