| Base | Representation |
|---|---|
| bin | 10100011110001001111… |
| … | …111000110010000000000 |
| 3 | 11222111010011200010201200 |
| 4 | 110132021333012100000 |
| 5 | 141022030421400211 |
| 6 | 2554132204501200 |
| 7 | 203431024652424 |
| oct | 24361177062000 |
| 9 | 4874104603650 |
| 10 | 1406769325056 |
| 11 | 4a2675678407 |
| 12 | 1a878424a800 |
| 13 | a28721a5564 |
| 14 | 4c13367ab84 |
| 15 | 268d75b0b56 |
| hex | 14789fc6400 |
1406769325056 has 264 divisors, whose sum is σ = 4359910687704. Its totient is φ = 435290112000.
The previous prime is 1406769325051. The next prime is 1406769325081. The reversal of 1406769325056 is 6505239676041.
1406769325056 is a `hidden beast` number, since 1 + 40 + 6 + 7 + 6 + 93 + 2 + 505 + 6 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 242442003456 + 1164327321600 = 492384^2 + 1079040^2 .
It is a junction number, because it is equal to n+sod(n) for n = 1406769324993 and 1406769325011.
It is not an unprimeable number, because it can be changed into a prime (1406769325051) 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 23 ways as a sum of consecutive naturals, for example, 11375556 + ... + 11498556.
It is an arithmetic number, because the mean of its divisors is an integer number (16514813211).
Almost surely, 21406769325056 is an apocalyptic number.
1406769325056 is a gapful number since it is divisible by the number (16) 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 1406769325056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179955343852).
1406769325056 is an abundant number, since it is smaller than the sum of its proper divisors (2953141362648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1406769325056 is a wasteful number, since it uses less digits than its factorization.
1406769325056 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 123117 (or 123096 counting only the distinct ones).
The product of its (nonzero) digits is 8164800, while the sum is 54.
The spelling of 1406769325056 in words is "one trillion, four hundred six billion, seven hundred sixty-nine million, three hundred twenty-five thousand, fifty-six".
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