| Base | Representation |
|---|---|
| bin | 10011011101000001… |
| … | …01111100111110100 |
| 3 | 222221212020210010000 |
| 4 | 21232200233213310 |
| 5 | 132342131341040 |
| 6 | 4444203231300 |
| 7 | 516545431431 |
| oct | 115640574764 |
| 9 | 28855223100 |
| 10 | 10444012020 |
| 11 | 447a4108a2 |
| 12 | 2035818530 |
| 13 | ca599b790 |
| 14 | 711102b88 |
| 15 | 411d67130 |
| hex | 26e82f9f4 |
10444012020 has 240 divisors, whose sum is σ = 35384746320. Its totient is φ = 2563467264.
The previous prime is 10444012013. The next prime is 10444012079. The reversal of 10444012020 is 2021044401.
10444012020 is a `hidden beast` number, since 104 + 440 + 120 + 2 + 0 = 666.
It can be written as a sum of positive squares in 8 ways, for example, as 1693157904 + 8750854116 = 41148^2 + 93546^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 10444011984 and 10444012002.
It is a congruent number.
It is an unprimeable number.
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 79 ways as a sum of consecutive naturals, for example, 12909376 + ... + 12910184.
It is an arithmetic number, because the mean of its divisors is an integer number (147436443).
Almost surely, 210444012020 is an apocalyptic number.
10444012020 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 10444012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17692373160).
10444012020 is an abundant number, since it is smaller than the sum of its proper divisors (24940734300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10444012020 is a wasteful number, since it uses less digits than its factorization.
10444012020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1456 (or 1445 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 10444012020 its reverse (2021044401), we get a palindrome (12465056421).
The spelling of 10444012020 in words is "ten billion, four hundred forty-four million, twelve thousand, twenty".
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