Base | Representation |
---|---|
bin | 1100111101100000111… |
… | …10000110000001101000 |
3 | 1120120111200010101210022 |
4 | 12132300132012001220 |
5 | 24244030112414004 |
6 | 540330515140012 |
7 | 44113666116050 |
oct | 6366036060150 |
9 | 1516450111708 |
10 | 445342310504 |
11 | 161961140393 |
12 | 723882a4608 |
13 | 32cc3442680 |
14 | 177aa09a560 |
15 | b8b74022be |
hex | 67b0786068 |
445342310504 has 128 divisors (see below), whose sum is σ = 1065904250880. Its totient is φ = 169686316800.
The previous prime is 445342310503. The next prime is 445342310509. The reversal of 445342310504 is 405013243544.
It is a super-4 number, since 4×4453423105044 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is not an unprimeable number, because it can be changed into a prime (445342310503) 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 31 ways as a sum of consecutive naturals, for example, 4715087 + ... + 4808609.
It is an arithmetic number, because the mean of its divisors is an integer number (8327376960).
Almost surely, 2445342310504 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 445342310504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532952125440).
445342310504 is an abundant number, since it is smaller than the sum of its proper divisors (620561940376).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
445342310504 is a wasteful number, since it uses less digits than its factorization.
445342310504 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93791 (or 93787 counting only the distinct ones).
The product of its (nonzero) digits is 115200, while the sum is 35.
The spelling of 445342310504 in words is "four hundred forty-five billion, three hundred forty-two million, three hundred ten thousand, five hundred four".
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