| Base | Representation |
|---|---|
| bin | 100000111011001011101110… |
| … | …110011101010101010100000 |
| 3 | 200222201011210221110221101000 |
| 4 | 200323023232303222222200 |
| 5 | 122434434141142020343 |
| 6 | 1231550141243312000 |
| 7 | 42333532224656640 |
| oct | 4073135663525240 |
| 9 | 628634727427330 |
| 10 | 144804533938848 |
| 11 | 421592923a8a03 |
| 12 | 142a810951b600 |
| 13 | 62a50168b3044 |
| 14 | 27a8810bb4520 |
| 15 | 11b1a7182ced3 |
| hex | 83b2eeceaaa0 |
144804533938848 has 192 divisors, whose sum is σ = 482733302123520. Its totient is φ = 41368307786496.
The previous prime is 144804533938807. The next prime is 144804533938849. The reversal of 144804533938848 is 848839335408441.
144804533938848 is a `hidden beast` number, since 1 + 4 + 4 + 8 + 0 + 4 + 533 + 9 + 3 + 8 + 84 + 8 = 666.
144804533938848 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (144804533938849) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55596211 + ... + 58142477.
It is an arithmetic number, because the mean of its divisors is an integer number (2514235948560).
Almost surely, 2144804533938848 is an apocalyptic number.
144804533938848 is a gapful number since it is divisible by the number (18) 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 144804533938848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241366651061760).
144804533938848 is an abundant number, since it is smaller than the sum of its proper divisors (337928768184672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144804533938848 is a wasteful number, since it uses less digits than its factorization.
144804533938848 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2555696 (or 2555682 counting only the distinct ones).
The product of its (nonzero) digits is 1274019840, while the sum is 72.
The spelling of 144804533938848 in words is "one hundred forty-four trillion, eight hundred four billion, five hundred thirty-three million, nine hundred thirty-eight thousand, eight hundred forty-eight".
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