| Base | Representation |
|---|---|
| bin | 101000111100000001110… |
| … | …111101000111000000000 |
| 3 | 100221221110011212021111000 |
| 4 | 220330001313220320000 |
| 5 | 332043001121111230 |
| 6 | 5552214324052000 |
| 7 | 410151404311140 |
| oct | 50740167507000 |
| 9 | 10857404767430 |
| 10 | 2813234941440 |
| 11 | 9950a4868a10 |
| 12 | 395282834000 |
| 13 | 175396481c31 |
| 14 | 9a23885a920 |
| 15 | 4d2a317db60 |
| hex | 28f01de8e00 |
2813234941440 has 3840 divisors, whose sum is σ = 13893053644800. Its totient is φ = 523409817600.
The previous prime is 2813234941427. The next prime is 2813234941481. The reversal of 2813234941440 is 441494323182.
2813234941440 is a `hidden beast` number, since 2 + 8 + 13 + 2 + 3 + 494 + 144 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (3840).
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
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 383 ways as a sum of consecutive naturals, for example, 47681948131 + ... + 47681948189.
It is an arithmetic number, because the mean of its divisors is an integer number (3617982720).
Almost surely, 22813234941440 is an apocalyptic number.
2813234941440 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 2813234941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6946526822400).
2813234941440 is an abundant number, since it is smaller than the sum of its proper divisors (11079818703360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2813234941440 is a wasteful number, since it uses less digits than its factorization.
2813234941440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 174 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 663552, while the sum is 45.
The spelling of 2813234941440 in words is "two trillion, eight hundred thirteen billion, two hundred thirty-four million, nine hundred forty-one thousand, four hundred forty".
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