| Base | Representation |
|---|---|
| bin | 11001111001100111… |
| … | …01110100110000000 |
| 3 | 1022220001220000110000 |
| 4 | 30330303232212000 |
| 5 | 211434201020130 |
| 6 | 10215442240000 |
| 7 | 1001403233454 |
| oct | 147463564600 |
| 9 | 38801800400 |
| 10 | 13905095040 |
| 11 | 5996077791 |
| 12 | 2840956000 |
| 13 | 1407a604b5 |
| 14 | 95ca50664 |
| 15 | 565b38260 |
| hex | 33ccee980 |
13905095040 has 320 divisors, whose sum is σ = 49865135760. Its totient is φ = 3692556288.
The previous prime is 13905095021. The next prime is 13905095041. The reversal of 13905095040 is 4059050931.
13905095040 is a `hidden beast` number, since 13 + 90 + 50 + 9 + 504 + 0 = 666.
13905095040 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 (320).
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 = 13905094986 and 13905095004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (13905095041) 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 39 ways as a sum of consecutive naturals, for example, 17988094 + ... + 17988866.
Almost surely, 213905095040 is an apocalyptic number.
13905095040 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 13905095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24932567880).
13905095040 is an abundant number, since it is smaller than the sum of its proper divisors (35960040720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
13905095040 is an equidigital number, since it uses as much as digits as its factorization.
13905095040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1151 (or 1130 counting only the distinct ones).
The product of its (nonzero) digits is 24300, while the sum is 36.
The spelling of 13905095040 in words is "thirteen billion, nine hundred five million, ninety-five thousand, forty".
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