| Base | Representation |
|---|---|
| bin | 101111011111101010011… |
| … | …011011101101000000000 |
| 3 | 102120000110202102201001100 |
| 4 | 233133222123131220000 |
| 5 | 411433242142323230 |
| 6 | 10535213004534400 |
| 7 | 454542222562326 |
| oct | 57375233355000 |
| 9 | 12500422381040 |
| 10 | 3263813245440 |
| 11 | 10491a2542750 |
| 12 | 448670551400 |
| 13 | 1a8a126004b7 |
| 14 | b3d80089d16 |
| 15 | 59d750a1660 |
| hex | 2f7ea6dda00 |
3263813245440 has 960 divisors, whose sum is σ = 12910357684224. Its totient is φ = 754790400000.
The previous prime is 3263813245439. The next prime is 3263813245447. The reversal of 3263813245440 is 445423183623.
3263813245440 is a `hidden beast` number, since 3 + 2 + 6 + 3 + 81 + 3 + 24 + 544 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
It is a super-3 number, since 3×32638132454403 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (3263813245447) 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 95 ways as a sum of consecutive naturals, for example, 557818515 + ... + 557824365.
Almost surely, 23263813245440 is an apocalyptic number.
3263813245440 is a gapful number since it is divisible by the number (30) 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 3263813245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6455178842112).
3263813245440 is an abundant number, since it is smaller than the sum of its proper divisors (9646544438784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3263813245440 is a wasteful number, since it uses less digits than its factorization.
3263813245440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 5993 (or 5974 counting only the distinct ones).
The product of its (nonzero) digits is 1658880, while the sum is 45.
The spelling of 3263813245440 in words is "three trillion, two hundred sixty-three billion, eight hundred thirteen million, two hundred forty-five thousand, four hundred forty".
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