Base | Representation |
---|---|
bin | 10011010011001111001101… |
… | …01101000011001110011000 |
3 | 12120021110100210020121201020 |
4 | 21221213212231003032120 |
5 | 21030334110224434034 |
6 | 230133442221522440 |
7 | 11640236201061003 |
oct | 1151474655031630 |
9 | 176243323217636 |
10 | 42442442421144 |
11 | 12583814302467 |
12 | 4915768113420 |
13 | 1a8b3c753bc1c |
14 | a6a321c3c53a |
15 | 4d905a730249 |
hex | 2699e6b43398 |
42442442421144 has 64 divisors (see below), whose sum is σ = 110762349868800. Its totient is φ = 13527125352576.
The previous prime is 42442442421131. The next prime is 42442442421161. The reversal of 42442442421144 is 44112424424424.
42442442421144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 42442442421096 and 42442442421105.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13483039 + ... + 16330254.
It is an arithmetic number, because the mean of its divisors is an integer number (1730661716700).
Almost surely, 242442442421144 is an apocalyptic number.
It is an amenable number.
42442442421144 is an abundant number, since it is smaller than the sum of its proper divisors (68319907447656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
42442442421144 is a wasteful number, since it uses less digits than its factorization.
42442442421144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29815904 (or 29815900 counting only the distinct ones).
The product of its digits is 1048576, while the sum is 42.
Adding to 42442442421144 its reverse (44112424424424), we get a palindrome (86554866845568).
The spelling of 42442442421144 in words is "forty-two trillion, four hundred forty-two billion, four hundred forty-two million, four hundred twenty-one thousand, one hundred forty-four".
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