Base | Representation |
---|---|
bin | 1100111101101110000… |
… | …01011111110101010000 |
3 | 1120120210100000010122210 |
4 | 12132313001133311100 |
5 | 24244241234121134 |
6 | 540345443432120 |
7 | 44116502455443 |
oct | 6366701376520 |
9 | 1516710003583 |
10 | 445452254544 |
11 | 161a08203a30 |
12 | 723b9085640 |
13 | 3301015840b |
14 | 177ba91965a |
15 | b8c1dbd2e9 |
hex | 67b705fd50 |
445452254544 has 160 divisors (see below), whose sum is σ = 1310382987264. Its totient is φ = 129073584640.
The previous prime is 445452254543. The next prime is 445452254561.
445452254544 is nontrivially palindromic in base 10.
It is a super-2 number, since 2×4454522545442 (a number of 24 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a junction number, because it is equal to n+sod(n) for n = 445452254493 and 445452254502.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (445452254543) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64396174 + ... + 64403090.
Almost surely, 2445452254544 is an apocalyptic number.
445452254544 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 445452254544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655191493632).
445452254544 is an abundant number, since it is smaller than the sum of its proper divisors (864930732720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
445452254544 is a wasteful number, since it uses less digits than its factorization.
445452254544 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 12265 (or 12259 counting only the distinct ones).
The product of its digits is 10240000, while the sum is 48.
It can be divided in two parts, 445452 and 254544, that added together give a palindrome (699996).
The spelling of 445452254544 in words is "four hundred forty-five billion, four hundred fifty-two million, two hundred fifty-four thousand, five hundred forty-four".
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