| Base | Representation |
|---|---|
| bin | 10000000110010011010… |
| … | …100101000011001000000 |
| 3 | 10220202111102201010100000 |
| 4 | 100012103110220121000 |
| 5 | 121111124213113034 |
| 6 | 2204114530200000 |
| 7 | 142632415002330 |
| oct | 20062324503100 |
| 9 | 3822442633300 |
| 10 | 1106278254144 |
| 11 | 397196263288 |
| 12 | 15a4a2423000 |
| 13 | 804246c9b5b |
| 14 | 3b7892290c0 |
| 15 | 1db9bc4e599 |
| hex | 10193528640 |
1106278254144 has 336 divisors, whose sum is σ = 3921566358528. Its totient is φ = 302336229888.
The previous prime is 1106278254143. The next prime is 1106278254181. The reversal of 1106278254144 is 4414528726011.
1106278254144 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 27 + 82 + 541 + 4 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (336).
It is a self number, because there is not a number n which added to its sum of digits gives 1106278254144.
It is not an unprimeable number, because it can be changed into a prime (1106278254143) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2282959 + ... + 2724785.
It is an arithmetic number, because the mean of its divisors is an integer number (11671328448).
Almost surely, 21106278254144 is an apocalyptic number.
1106278254144 is a gapful number since it is divisible by the number (14) 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 1106278254144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960783179264).
1106278254144 is an abundant number, since it is smaller than the sum of its proper divisors (2815288104384).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1106278254144 is an equidigital number, since it uses as much as digits as its factorization.
1106278254144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 441884 (or 441862 counting only the distinct ones).
The product of its (nonzero) digits is 430080, while the sum is 45.
The spelling of 1106278254144 in words is "one trillion, one hundred six billion, two hundred seventy-eight million, two hundred fifty-four thousand, one hundred forty-four".
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