Base | Representation |
---|---|
bin | 100000010011101010110… |
… | …001101101000111101000 |
3 | 21212020120111220022211200 |
4 | 200103222301231013220 |
5 | 242333322324220034 |
6 | 4415530312324200 |
7 | 316254121553433 |
oct | 40235261550750 |
9 | 7766514808750 |
10 | 2220142023144 |
11 | 786614325101 |
12 | 2ba3410a3660 |
13 | 1314877c6326 |
14 | 79653a6681a |
15 | 3cb3e8c3a99 |
hex | 204eac6d1e8 |
2220142023144 has 192 divisors, whose sum is σ = 6138804672000. Its totient is φ = 724655099520.
The previous prime is 2220142023101. The next prime is 2220142023157. The reversal of 2220142023144 is 4413202410222.
It is a happy number.
2220142023144 is a `hidden beast` number, since 2 + 2 + 2 + 0 + 1 + 420 + 231 + 4 + 4 = 666.
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 47 ways as a sum of consecutive naturals, for example, 1763416387 + ... + 1763417645.
It is an arithmetic number, because the mean of its divisors is an integer number (31972941000).
Almost surely, 22220142023144 is an apocalyptic number.
2220142023144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2220142023144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069402336000).
2220142023144 is an abundant number, since it is smaller than the sum of its proper divisors (3918662648856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220142023144 is a wasteful number, since it uses less digits than its factorization.
2220142023144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2628 (or 2621 counting only the distinct ones).
The product of its (nonzero) digits is 6144, while the sum is 27.
Adding to 2220142023144 its reverse (4413202410222), we get a palindrome (6633344433366).
The spelling of 2220142023144 in words is "two trillion, two hundred twenty billion, one hundred forty-two million, twenty-three thousand, one hundred forty-four".
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