Base | Representation |
---|---|
bin | 100010001011001011101… |
… | …000011011101001000000 |
3 | 22022111210210211200012202 |
4 | 202023023220123221000 |
5 | 301434130420024230 |
6 | 4554512130412332 |
7 | 331446145013423 |
oct | 42131350335100 |
9 | 8274723750182 |
10 | 2348468517440 |
11 | 825a86287671 |
12 | 31b1954310a8 |
13 | 1405c8a699a6 |
14 | 81948b859ba |
15 | 41150868a45 |
hex | 222cba1ba40 |
2348468517440 has 112 divisors (see below), whose sum is σ = 5641776920640. Its totient is φ = 931096995840.
The previous prime is 2348468517391. The next prime is 2348468517443. The reversal of 2348468517440 is 447158648432.
It is not an unprimeable number, because it can be changed into a prime (2348468517443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27223175 + ... + 27309305.
It is an arithmetic number, because the mean of its divisors is an integer number (50373008220).
Almost surely, 22348468517440 is an apocalyptic number.
2348468517440 is a gapful number since it is divisible by the number (20) 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 2348468517440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820888460320).
2348468517440 is an abundant number, since it is smaller than the sum of its proper divisors (3293308403200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2348468517440 is a wasteful number, since it uses less digits than its factorization.
2348468517440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86900 (or 86890 counting only the distinct ones).
The product of its (nonzero) digits is 20643840, while the sum is 56.
The spelling of 2348468517440 in words is "two trillion, three hundred forty-eight billion, four hundred sixty-eight million, five hundred seventeen thousand, four hundred forty".
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