Base | Representation |
---|---|
bin | 10111111110011011110001… |
… | …101010000011111101110000 |
3 | 111211100111021022000021210000 |
4 | 113332123301222003331300 |
5 | 102310104341332432034 |
6 | 1012132554501310000 |
7 | 31132120552566330 |
oct | 2776336152037560 |
9 | 454314238007700 |
10 | 105445501452144 |
11 | 3066420567a537 |
12 | b9b0065105300 |
13 | 46ab6115cc709 |
14 | 1c0783783d0c0 |
15 | c2cd2d37b599 |
hex | 5fe6f1a83f70 |
105445501452144 has 800 divisors, whose sum is σ = 361577946280320. Its totient is φ = 29043471974400.
The previous prime is 105445501452143. The next prime is 105445501452191. The reversal of 105445501452144 is 441254105544501.
105445501452144 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 4 + 5 + 50 + 1 + 452 + 144 = 666.
It is a super-2 number, since 2×1054455014521442 (a number of 29 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 105445501452144.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105445501452143) by changing a digit.
It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 50476543452 + ... + 50476545540.
Almost surely, 2105445501452144 is an apocalyptic number.
105445501452144 is a gapful number since it is divisible by the number (14) 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 105445501452144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180788973140160).
105445501452144 is an abundant number, since it is smaller than the sum of its proper divisors (256132444828176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105445501452144 is a wasteful number, since it uses less digits than its factorization.
105445501452144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3951 (or 3936 counting only the distinct ones).
The product of its (nonzero) digits is 1280000, while the sum is 45.
Adding to 105445501452144 its reverse (441254105544501), we get a palindrome (546699606996645).
The spelling of 105445501452144 in words is "one hundred five trillion, four hundred forty-five billion, five hundred one million, four hundred fifty-two thousand, one hundred forty-four".
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