| Base | Representation |
|---|---|
| bin | 10111101100110101011… |
| … | …11101110100000000000 |
| 3 | 2212211222002211100000000 |
| 4 | 23312122233232200000 |
| 5 | 101320234311141230 |
| 6 | 1422034400000000 |
| 7 | 112556141320656 |
| oct | 13663257564000 |
| 9 | 2784862740000 |
| 10 | 814345021440 |
| 11 | 2943a8597715 |
| 12 | 1119aa600000 |
| 13 | 5ba3bbba642 |
| 14 | 2b5b35b0dd6 |
| 15 | 162b2878b60 |
| hex | bd9abee800 |
814345021440 has 1728 divisors, whose sum is σ = 3342551546880. Its totient is φ = 189191946240.
The previous prime is 814345021433. The next prime is 814345021481. The reversal of 814345021440 is 44120543418.
814345021440 is a `hidden beast` number, since 8 + 1 + 4 + 3 + 4 + 502 + 144 + 0 = 666.
814345021440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (1728).
It is a super-2 number, since 2×8143450214402 (a number of 25 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 814345021395 and 814345021404.
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26269194225 + ... + 26269194255.
It is an arithmetic number, because the mean of its divisors is an integer number (1934346960).
Almost surely, 2814345021440 is an apocalyptic number.
814345021440 is a gapful number since it is divisible by the number (80) 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 814345021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671275773440).
814345021440 is an abundant number, since it is smaller than the sum of its proper divisors (2528206525440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
814345021440 is an equidigital number, since it uses as much as digits as its factorization.
814345021440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 122 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Adding to 814345021440 its reverse (44120543418), we get a palindrome (858465564858).
The spelling of 814345021440 in words is "eight hundred fourteen billion, three hundred forty-five million, twenty-one thousand, four hundred forty".
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