| Base | Representation |
|---|---|
| bin | 11000101001101010000110… |
| … | …11110100111100000000000 |
| 3 | 21002221020002202100220100000 |
| 4 | 30110311003132213200000 |
| 5 | 24101120302032424100 |
| 6 | 311142434433200000 |
| 7 | 14263251436242630 |
| oct | 1424650336474000 |
| 9 | 232836082326300 |
| 10 | 54207914342400 |
| 11 | 162aa4a14a34a5 |
| 12 | 60b5a34a00000 |
| 13 | 2432a273bc400 |
| 14 | d55969b966c0 |
| 15 | 640113cb9900 |
| hex | 314d437a7800 |
54207914342400 has 5184 divisors, whose sum is σ = 259770173644800. Its totient is φ = 10955933614080.
The previous prime is 54207914342381. The next prime is 54207914342401. The reversal of 54207914342400 is 424341970245.
54207914342400 is a `hidden beast` number, since 5 + 4 + 207 + 9 + 1 + 4 + 34 + 2 + 400 = 666.
It is a tau number, because it is divible by the number of its divisors (5184).
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 (54207914342401) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 426833971137 + ... + 426833971263.
It is an arithmetic number, because the mean of its divisors is an integer number (50109987200).
Almost surely, 254207914342400 is an apocalyptic number.
54207914342400 is a gapful number since it is divisible by the number (50) 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 54207914342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129885086822400).
54207914342400 is an abundant number, since it is smaller than the sum of its proper divisors (205562259302400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
54207914342400 is a wasteful number, since it uses less digits than its factorization.
54207914342400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 236 (or 186 counting only the distinct ones).
The product of its (nonzero) digits is 967680, while the sum is 45.
The spelling of 54207914342400 in words is "fifty-four trillion, two hundred seven billion, nine hundred fourteen million, three hundred forty-two thousand, four hundred".
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