Base | Representation |
---|---|
bin | 110000110010001101001… |
… | …011111100100110100000 |
3 | 102212111020112100102001200 |
4 | 300302031023330212200 |
5 | 414411300430211034 |
6 | 11044031404401200 |
7 | 464130445054020 |
oct | 60621513744640 |
9 | 12774215312050 |
10 | 3352443210144 |
11 | 1082843880a66 |
12 | 461886546200 |
13 | 1b4198635bb2 |
14 | b838b035a80 |
15 | 5c311006a99 |
hex | 30c8d2fc9a0 |
3352443210144 has 144 divisors (see below), whose sum is σ = 10908716757120. Its totient is φ = 956673768960.
The previous prime is 3352443210121. The next prime is 3352443210157. The reversal of 3352443210144 is 4410123442533.
3352443210144 is a `hidden beast` number, since 3 + 3 + 52 + 443 + 21 + 0 + 144 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×33524432101442 (a number of 26 digits) contains 22 as substring.
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 = 3352443210099 and 3352443210108.
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 642397 + ... + 2667875.
It is an arithmetic number, because the mean of its divisors is an integer number (75754977480).
Almost surely, 23352443210144 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 3352443210144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5454358378560).
3352443210144 is an abundant number, since it is smaller than the sum of its proper divisors (7556273546976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3352443210144 is a wasteful number, since it uses less digits than its factorization.
3352443210144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2026323 (or 2026312 counting only the distinct ones).
The product of its (nonzero) digits is 138240, while the sum is 36.
Adding to 3352443210144 its reverse (4410123442533), we get a palindrome (7762566652677).
The spelling of 3352443210144 in words is "three trillion, three hundred fifty-two billion, four hundred forty-three million, two hundred ten thousand, one hundred forty-four".
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