Base | Representation |
---|---|
bin | 100001110100100001000… |
… | …000001110011000000000 |
3 | 22020011222200112102000210 |
4 | 201310201000032120000 |
5 | 301034310014423034 |
6 | 4535405133314120 |
7 | 326625063444342 |
oct | 41644100163000 |
9 | 8204880472023 |
10 | 2324131014144 |
11 | 816727405185 |
12 | 316522935940 |
13 | 13b21a871574 |
14 | 806ba7b3292 |
15 | 406c8e0b8e9 |
hex | 21d2100e600 |
2324131014144 has 320 divisors, whose sum is σ = 6510938987520. Its totient is φ = 735308513280.
The previous prime is 2324131014119. The next prime is 2324131014181. The reversal of 2324131014144 is 4414101314232.
It is a happy number.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4295990514 + ... + 4295991054.
It is an arithmetic number, because the mean of its divisors is an integer number (20346684336).
Almost surely, 22324131014144 is an apocalyptic number.
2324131014144 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 2324131014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3255469493760).
2324131014144 is an abundant number, since it is smaller than the sum of its proper divisors (4186807973376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2324131014144 is a wasteful number, since it uses less digits than its factorization.
2324131014144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1301 (or 1285 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 30.
Adding to 2324131014144 its reverse (4414101314232), we get a palindrome (6738232328376).
The spelling of 2324131014144 in words is "two trillion, three hundred twenty-four billion, one hundred thirty-one million, fourteen thousand, one hundred forty-four".
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