Base | Representation |
---|---|
bin | 110110100100100000001110… |
… | …110100011101000111000000 |
3 | 1011110210001202012100111011222 |
4 | 312210200032310131013000 |
5 | 222424202141402212344 |
6 | 2210235511003054212 |
7 | 101360434412520110 |
oct | 6644401664350700 |
9 | 1143701665314158 |
10 | 240003021132224 |
11 | 6a521789621809 |
12 | 22b0223a211368 |
13 | a3bc25972973c |
14 | 433a2cb447040 |
15 | 1cb30691265ee |
hex | da480ed1d1c0 |
240003021132224 has 112 divisors (see below), whose sum is σ = 547943485280256. Its totient is φ = 102170077363200.
The previous prime is 240003021132223. The next prime is 240003021132241. The reversal of 240003021132224 is 422231120300042.
It is a tau number, because it is divible by the number of its divisors (112).
It is a junction number, because it is equal to n+sod(n) for n = 240003021132193 and 240003021132202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (240003021132223) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56389634 + ... + 60496254.
Almost surely, 2240003021132224 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 240003021132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273971742640128).
240003021132224 is an abundant number, since it is smaller than the sum of its proper divisors (307940464148032).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
240003021132224 is a wasteful number, since it uses less digits than its factorization.
240003021132224 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4107514 (or 4107504 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 26.
Adding to 240003021132224 its reverse (422231120300042), we get a palindrome (662234141432266).
The spelling of 240003021132224 in words is "two hundred forty trillion, three billion, twenty-one million, one hundred thirty-two thousand, two hundred twenty-four".
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