Base | Representation |
---|---|
bin | 1100101111010010011100… |
… | …1011011110111000100000 |
3 | 1211121000100020202122010000 |
4 | 3023310213023132320200 |
5 | 3313440401143030020 |
6 | 45442303535340000 |
7 | 2643640154561403 |
oct | 313644713367040 |
9 | 54530306678100 |
10 | 14006545673760 |
11 | 4510162979222 |
12 | 16a268b981600 |
13 | 7a7a720a6ca3 |
14 | 365cc5921d3a |
15 | 1945208c2090 |
hex | cbd272dee20 |
14006545673760 has 1920 divisors, whose sum is σ = 53960009241600. Its totient is φ = 3415201284096.
The previous prime is 14006545673759. The next prime is 14006545673863. The reversal of 14006545673760 is 6737654560041.
14006545673760 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 6 + 5 + 4 + 567 + 3 + 76 + 0 = 666.
It is a super-2 number, since 2×140065456737602 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 14006545673697 and 14006545673706.
It is an unprimeable number.
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 319 ways as a sum of consecutive naturals, for example, 94003662166 + ... + 94003662314.
It is an arithmetic number, because the mean of its divisors is an integer number (28104171480).
Almost surely, 214006545673760 is an apocalyptic number.
14006545673760 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 14006545673760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26980004620800).
14006545673760 is an abundant number, since it is smaller than the sum of its proper divisors (39953463567840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14006545673760 is a wasteful number, since it uses less digits than its factorization.
14006545673760 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 400 (or 383 counting only the distinct ones).
The product of its (nonzero) digits is 12700800, while the sum is 54.
The spelling of 14006545673760 in words is "fourteen trillion, six billion, five hundred forty-five million, six hundred seventy-three thousand, seven hundred sixty".
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