Base | Representation |
---|---|
bin | 10011010011001110110101… |
… | …11001110100100011010100 |
3 | 12120021102211222201020211100 |
4 | 21221213122321310203110 |
5 | 21030333204034123244 |
6 | 230133410430310100 |
7 | 11640231245222166 |
oct | 1151473271644324 |
9 | 176242758636740 |
10 | 42442244442324 |
11 | 12583722580001 |
12 | 4915711958330 |
13 | 1a8b3955118ac |
14 | a6a303824936 |
15 | 4d9048174b69 |
hex | 2699dae748d4 |
42442244442324 has 18 divisors (see below), whose sum is σ = 107284562340410. Its totient is φ = 14147414814096.
The previous prime is 42442244442277. The next prime is 42442244442371. The reversal of 42442244442324 is 42324444224424.
42442244442324 is a `hidden beast` number, since 4 + 2 + 4 + 42 + 244 + 4 + 42 + 324 = 666.
It is an interprime number because it is at equal distance from previous prime (42442244442277) and next prime (42442244442371).
It can be written as a sum of positive squares in only one way, i.e., 38709550890000 + 3732693552324 = 6221700^2 + 1932018^2 .
It is a tau number, because it is divible by the number of its divisors (18).
It is a super-2 number, since 2×424422444423242 (a number of 28 digits) contains 22 as substring.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 42442244442324.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 589475617219 + ... + 589475617290.
Almost surely, 242442244442324 is an apocalyptic number.
It is an amenable number.
42442244442324 is an abundant number, since it is smaller than the sum of its proper divisors (64842317898086).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42442244442324 is a wasteful number, since it uses less digits than its factorization.
42442244442324 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1178951234519 (or 1178951234514 counting only the distinct ones).
The product of its digits is 6291456, while the sum is 45.
Adding to 42442244442324 its reverse (42324444224424), we get a palindrome (84766688666748).
The spelling of 42442244442324 in words is "forty-two trillion, four hundred forty-two billion, two hundred forty-four million, four hundred forty-two thousand, three hundred twenty-four".
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