| Base | Representation |
|---|---|
| bin | 1000011010000011110… |
| … | …0001010010100100000 |
| 3 | 111210210212010202201000 |
| 4 | 2012200330022110200 |
| 5 | 4331300103434430 |
| 6 | 150204014512000 |
| 7 | 13302132064551 |
| oct | 2064074122440 |
| 9 | 453725122630 |
| 10 | 144434046240 |
| 11 | 56288287770 |
| 12 | 23baa805600 |
| 13 | 1080a3b58b3 |
| 14 | 6dc248a328 |
| 15 | 3b55132e60 |
| hex | 21a0f0a520 |
144434046240 has 384 divisors, whose sum is σ = 554694739200. Its totient is φ = 34809937920.
The previous prime is 144434046181. The next prime is 144434046241. The reversal of 144434046240 is 42640434441.
144434046240 is a `hidden beast` number, since 1 + 4 + 4 + 4 + 3 + 404 + 6 + 240 = 666.
It is a super-2 number, since 2×1444340462402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 144434046195 and 144434046204.
It is not an unprimeable number, because it can be changed into a prime (144434046241) 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 63 ways as a sum of consecutive naturals, for example, 8212176 + ... + 8229744.
It is an arithmetic number, because the mean of its divisors is an integer number (1444517550).
Almost surely, 2144434046240 is an apocalyptic number.
144434046240 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 144434046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277347369600).
144434046240 is an abundant number, since it is smaller than the sum of its proper divisors (410260692960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
144434046240 is a wasteful number, since it uses less digits than its factorization.
144434046240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17777 (or 17763 counting only the distinct ones).
The product of its (nonzero) digits is 147456, while the sum is 36.
The spelling of 144434046240 in words is "one hundred forty-four billion, four hundred thirty-four million, forty-six thousand, two hundred forty".
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