| Base | Representation |
|---|---|
| bin | 1100110110010011110011… |
| … | …0101011000000000000000 |
| 3 | 1212000112200122001211000000 |
| 4 | 3031210330311120000000 |
| 5 | 3322424420010431230 |
| 6 | 50013533104000000 |
| 7 | 2655440252135220 |
| oct | 315447465300000 |
| 9 | 55015618054000 |
| 10 | 14127168061440 |
| 11 | 4557331092425 |
| 12 | 1701b34000000 |
| 13 | 7b62561c8095 |
| 14 | 36ba8979c080 |
| 15 | 197730318b60 |
| hex | cd93cd58000 |
14127168061440 has 1792 divisors, whose sum is σ = 59261301944640. Its totient is φ = 3164665282560.
The previous prime is 14127168061427. The next prime is 14127168061441. The reversal of 14127168061440 is 4416086172141.
14127168061440 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 71 + 6 + 80 + 61 + 440 = 666.
It is a tau number, because it is divible by the number of its divisors (1792).
It is a super-2 number, since 2×141271680614402 (a number of 27 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (14127168061441) 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 111 ways as a sum of consecutive naturals, for example, 51000606582 + ... + 51000606858.
Almost surely, 214127168061440 is an apocalyptic number.
14127168061440 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 14127168061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29630650972320).
14127168061440 is an abundant number, since it is smaller than the sum of its proper divisors (45134133883200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
14127168061440 is an frugal number, since it uses more digits than its factorization.
14127168061440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 398 (or 355 counting only the distinct ones).
The product of its (nonzero) digits is 258048, while the sum is 45.
The spelling of 14127168061440 in words is "fourteen trillion, one hundred twenty-seven billion, one hundred sixty-eight million, sixty-one thousand, four hundred forty".
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