| Base | Representation |
|---|---|
| bin | 1100111101101000011… |
| … | …11001010010000100000 |
| 3 | 1120120200002000222201022 |
| 4 | 12132310033022100200 |
| 5 | 24244142302121134 |
| 6 | 540341053425012 |
| 7 | 44115364215200 |
| oct | 6366417122040 |
| 9 | 1516602028638 |
| 10 | 445405504544 |
| 11 | 161993882a70 |
| 12 | 723a549b168 |
| 13 | 3300356a3b0 |
| 14 | 177b462a400 |
| 15 | b8bcc3652e |
| hex | 67b43ca420 |
445405504544 has 288 divisors, whose sum is σ = 1261475208000. Its totient is φ = 151753512960.
The previous prime is 445405504541. The next prime is 445405504547.
445405504544 is nontrivially palindromic in base 10.
It is an interprime number because it is at equal distance from previous prime (445405504541) and next prime (445405504547).
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a junction number, because it is equal to n+sod(n) for n = 445405504495 and 445405504504.
It is not an unprimeable number, because it can be changed into a prime (445405504541) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4207982 + ... + 4312530.
It is an arithmetic number, because the mean of its divisors is an integer number (4380122250).
Almost surely, 2445405504544 is an apocalyptic number.
445405504544 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 445405504544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630737604000).
445405504544 is an abundant number, since it is smaller than the sum of its proper divisors (816069703456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
445405504544 is a wasteful number, since it uses less digits than its factorization.
445405504544 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 104616 (or 104601 counting only the distinct ones).
The product of its (nonzero) digits is 2560000, while the sum is 44.
It can be divided in two parts, 445405 and 504544, that added together give a palindrome (949949).
The spelling of 445405504544 in words is "four hundred forty-five billion, four hundred five million, five hundred four thousand, five hundred forty-four".
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