| Base | Representation |
|---|---|
| bin | 1001011101100001011111… |
| … | …0000111111100101100000 |
| 3 | 1100211111110200101112100000 |
| 4 | 2113120113300333211200 |
| 5 | 2330414423213311430 |
| 6 | 34042552410500000 |
| 7 | 2122402213603260 |
| oct | 227302760774540 |
| 9 | 40744420345300 |
| 10 | 10402809510240 |
| 11 | 335089684a004 |
| 12 | 1200173a34600 |
| 13 | 5a5c99873754 |
| 14 | 27d6da4ad7a0 |
| 15 | 130903303e60 |
| hex | 97617c3f960 |
10402809510240 has 1152 divisors, whose sum is σ = 42726080517120. Its totient is φ = 2341196587008.
The previous prime is 10402809510229. The next prime is 10402809510241. The reversal of 10402809510240 is 4201590820401.
10402809510240 is a `hidden beast` number, since 1 + 0 + 40 + 2 + 80 + 9 + 510 + 24 + 0 = 666.
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 = 10402809510195 and 10402809510204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10402809510241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5132120107 + ... + 5132122133.
It is an arithmetic number, because the mean of its divisors is an integer number (37088611560).
Almost surely, 210402809510240 is an apocalyptic number.
10402809510240 is a gapful number since it is divisible by the number (10) 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 10402809510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21363040258560).
10402809510240 is an abundant number, since it is smaller than the sum of its proper divisors (32323271006880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10402809510240 is a wasteful number, since it uses less digits than its factorization.
10402809510240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2346 (or 2326 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 36.
The spelling of 10402809510240 in words is "ten trillion, four hundred two billion, eight hundred nine million, five hundred ten thousand, two hundred forty".
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