| Base | Representation |
|---|---|
| bin | 10010110000101100… |
| … | …100111101000000000 |
| 3 | 1220222220011022020100 |
| 4 | 102300230213220000 |
| 5 | 312223423341330 |
| 6 | 13130523242400 |
| 7 | 1312124125260 |
| oct | 226054475000 |
| 9 | 56886138210 |
| 10 | 20144355840 |
| 11 | 85a7a66774 |
| 12 | 3aa2379400 |
| 13 | 1b9057b7ab |
| 14 | d915417a0 |
| 15 | 7cd783060 |
| hex | 4b0b27a00 |
20144355840 has 960 divisors, whose sum is σ = 85028486400. Its totient is φ = 4310433792.
The previous prime is 20144355839. The next prime is 20144355871. The reversal of 20144355840 is 4855344102.
It is a happy number.
20144355840 is a `hidden beast` number, since 2 + 0 + 1 + 44 + 35 + 584 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (960).
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 = 20144355795 and 20144355804.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 275950044 + ... + 275950116.
It is an arithmetic number, because the mean of its divisors is an integer number (88571340).
Almost surely, 220144355840 is an apocalyptic number.
20144355840 is a gapful number since it is divisible by the number (20) 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 20144355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42514243200).
20144355840 is an abundant number, since it is smaller than the sum of its proper divisors (64884130560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
20144355840 is a wasteful number, since it uses less digits than its factorization.
20144355840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 197 (or 178 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
Adding to 20144355840 its reverse (4855344102), we get a palindrome (24999699942).
The spelling of 20144355840 in words is "twenty billion, one hundred forty-four million, three hundred fifty-five thousand, eight hundred forty".
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