| Base | Representation |
|---|---|
| bin | 1100111101101101000… |
| … | …11101101000110000000 |
| 3 | 1120120202210022100100112 |
| 4 | 12132312203231012000 |
| 5 | 24244232234211134 |
| 6 | 540345004210452 |
| 7 | 44116346206661 |
| oct | 6366643550600 |
| 9 | 1516683270315 |
| 10 | 445444444544 |
| 11 | 161a0385a190 |
| 12 | 723b6539a28 |
| 13 | 3300b652608 |
| 14 | 177b9885368 |
| 15 | b8c13791ce |
| hex | 67b68ed180 |
445444444544 has 128 divisors (see below), whose sum is σ = 978374142720. Its totient is φ = 200327178240.
The previous prime is 445444444519. The next prime is 445444444553.
445444444544 is nontrivially palindromic in base 10.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×4454444445442 (a number of 24 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 445444444492 and 445444444501.
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 15 ways as a sum of consecutive naturals, for example, 168281429 + ... + 168284075.
It is an arithmetic number, because the mean of its divisors is an integer number (7643547990).
Almost surely, 2445444444544 is an apocalyptic number.
445444444544 is a gapful number since it is divisible by the number (44) 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 445444444544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489187071360).
445444444544 is an abundant number, since it is smaller than the sum of its proper divisors (532929698176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
445444444544 is a wasteful number, since it uses less digits than its factorization.
445444444544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3896 (or 3884 counting only the distinct ones).
The product of its digits is 26214400, while the sum is 50.
It can be divided in two parts, 445444 and 444544, that added together give a palindrome (889988).
The spelling of 445444444544 in words is "four hundred forty-five billion, four hundred forty-four million, four hundred forty-four thousand, five hundred forty-four".
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