Base | Representation |
---|---|
bin | 100000101111110100000110… |
… | …001011111010110000001100 |
3 | 200212221111011101002111012212 |
4 | 200233310012023322300030 |
5 | 122334134044440434200 |
6 | 1230151210344245552 |
7 | 42223223126062430 |
oct | 4057640613726014 |
9 | 625844141074185 |
10 | 144023242124300 |
11 | 41987a06556900 |
12 | 141a08044708b8 |
13 | 62494447b0cb6 |
14 | 277ca953449c0 |
15 | 119b595b82035 |
hex | 82fd062fac0c |
144023242124300 has 216 divisors, whose sum is σ = 396487370788320. Its totient is φ = 44445899520000.
The previous prime is 144023242124273. The next prime is 144023242124341. The reversal of 144023242124300 is 3421242320441.
It is a happy number.
It is a super-3 number, since 3×1440232421243003 (a number of 43 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136916 + ... + 16972484.
Almost surely, 2144023242124300 is an apocalyptic number.
144023242124300 is a gapful number since it is divisible by the number (10) 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 144023242124300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198243685394160).
144023242124300 is an abundant number, since it is smaller than the sum of its proper divisors (252464128664020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144023242124300 is a wasteful number, since it uses less digits than its factorization.
144023242124300 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16835713 (or 16835695 counting only the distinct ones).
The product of its (nonzero) digits is 36864, while the sum is 32.
Adding to 144023242124300 its reverse (3421242320441), we get a palindrome (147444484444741).
The spelling of 144023242124300 in words is "one hundred forty-four trillion, twenty-three billion, two hundred forty-two million, one hundred twenty-four thousand, three hundred".
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