3102: Reading a Big Number

2025-06-14T03:57:20Z

2601:600:837F:E017:0:0:0:56: /* Explanation */ Add some more insights for the interpretation of the double-quote as implying an escaped string

{{comic
| number = 3102
| date = June 13, 2025
| title = Reading a Big Number
| image = reading_a_big_number_2x.png
| imagesize = 740x438px
| noexpand = true
| titletext = [desperately] Maybe this is from some country where they use commas as decimal points, and also as digit separators after the decimal, and also use random other characters for decoration???
}}

==Explanation==
{{incomplete|This page was created recently by An Accidentally Escaped Quotation Mark. Don't remove this notice too soon.}}

This comic expresses [[Randall]]'s reactions to reading {{w|large number}}s. It starts with normal digits and commas you would find in a large number, but gradually becomes more and more chaotic. It turns out that this is not a number at all, but some sort of printing error in whatever Randall is reading.

The very start of the comic is a bit absurd. In most cases, you can tell that a number like this is very large because of how long it is when written out; you wouldn't have to completely reinterpret it at the end of ''every'' group of digits. However, to tell exactly which "-illion" the number falls into, you would have to count the groups, and the scale of such a large number would grow less familiar as you try to keep track of how large it even is. Certain sizes of numbers tend to show up in specific contexts, like {{w|astronomy}}. So, rather than literally showing Randall's developing thoughts on the evidently massive size of this number, the comic also shows how he tends to interpret numbers at each possible "-illion" scale.

{| class="wikitable"
! Number fragment !! Thought !! Explanation
|-
| 54 || 54! Great! I know that number. Solid start. || 54 is a number with some real-world familiarity for most people. It is small enough to appear on digital clocks, and has enough factors to be listed on standard multiplication tables as 6 × 9.

Randall pretending to reckon with the start of such a large number is probably meant to draw attention to the meaninglessness of doing so. Unless the exact value is somehow important, most readers wouldn't find much of a meaningful difference between "54 zillion" or "over 50 zillion", or even "zillions and zillions". In practice, the brain {{w|Approximate number system|can only approximate}} numbers this large; the {{w|Just-noticeable difference|threshold needed to tell the difference}} between the amounts that they represent is too high. Randall expresses a similar sentiment once he gets to the trillions and quadrillions.
|-
| ,000 (thousand) || Oh, a comma and some zeros. Cool. Must be at least 54 thousand. || Underselling how long the number is with the "at least a thousand", but is a fair thought from the POV of not being able to know how long the number is.
|-
| ,000 (million) || A second comma! I wonder if we're talking population or money. || Excitement from how large the number must be. {{w|Population}}s (like the number of people in a region) and large sums of money are both often measured in millions.
|-
| ,000 (billion) || Yikes! If this is money, it's a lot of money. || Three commas means a number in the billions. That's a lot of money for one person to have. Big decisions by large corporations, such as {{w|megamerger}}s, are often measured in billions of dollars in costs.
|-
| ,000,000 (quadrillion) || Why am I reading this? Whatever this number is, I'm not going to be able to visualize it. || Five commas is a number in the quadrillions. At this point the number is too big for human minds to comprehend.
|-
| ,000 (quintillion) || All right, either someone made a unit conversion error or this is one of those incomprehensible astronomy numbers. || Astronomy often deals with extremely large numbers due to the incredible scale of the universe. For example, the distance to the Andromeda galaxy in kilometers could be numbered in quintillions. Alternatively, the person calculating the number made a mistake.
|-
| ,0000 (!?) || Oh no. Is this a misplaced comma or an extra zero? I guess we'll see if the next group has two zeros or three. If it's two, we can at least hope the digits are right. || Commas are placed every three digits in {{w|Decimal separator#Digit grouping|typical western usage}} (although not necessarily in various other {{w|Indian numbering system#Decimal formatting|cultures}}), so something is wrong. However, it might simply be that someone misplaced the comma to the right, meaning that this group has four digits and the next one would likely have two (the next comma in the 'correct' place). If the next group is three, then either the commas are now ''all'' misplaced or possibly someone/something just doubled up a zero by accident. A mistake of any kind makes one think that the number may not actually be accurate but, if the former, at least it might just be a relatively unimportant transposition.
|-
| ,0000 || Oh no. || A second group of four zeroes means it's not a typo. Something is seriously wrong. Note that some countries like [https://www.aceninja.sg/insights/2025/01/01/understanding-chinese-cultural-nuances-numerals China] or [https://www.kanpai-japan.com/learn-japanese/how-to-count-in-japanese Japan] (where 4-digit groupings are common) or [https://www.cuemath.com/numbers/indian-place-value-chart/ India] (which uses a unique 2- and 3-digit mixed system) may use non 3-digit groupings, but have their own rules for number groupings.
|-
| ,054 || What is happening. || Big numbers are normally rounded, so it's very strange to see a non-zero value this far down in the place values. Also, "54" matches the digits at the start of the number so it could indicate the number was copied incorrectly. The non-zero digits here imply that all of the digits so far, including the zeroes, are {{w|significant figures}}; the number is not only extremely large, but implausibly precise with at least 30 sig figs. By way of comparison, the diameter of the observable universe is about 4.4 × 10<sup>26</sup> m, and if that measurement had 30 sigfigs, it would be precise to about half a millimeter.
|-
| ,000"000 || Someone messed up real bad. || The arcsecond mark " indicates that this number is an angle or a distance in inches. For an angle, even accounting for how small an arcsecond is (1/3600th of a degree), this angle would be a huge number rotations. As for inches, it would represent a distance much larger than the observable universe, it is also uncommon to use customary units like inches in conjunction with large numbers. Alternatively, this could be "to-the-11th-power", which would make the already extremely large number extremely ridiculously big. This could also be a sign of bad copy-pasting, where the quotation mark " was accidentally copied along with the large number but not with a matching one. Or if this number was being printed from a computer program, the mark may be a sign that the closing quote around a computer string was accidentally escaped, causing it to become present in the string rather than indicating the end of the string.
|-
| ,00c2ef46 || Someone messed up real bad and I hope it wasn't me. || Numbers normally only use the digits 0-9. The use of letters suggest that this is a hexadecimal number. Angles are not normally expressed in hexadecimal. Hexadecimal is mostly used by computers, so Randall, as a programmer, might be worried that the hexadecimal appearing is his fault. Seeing a long string of unexpected characters may indicate a memory bug, such as a ''{{w|buffer overflow}}''. These bugs can lead to crashes, data corruption and security vulnerabilities, and Randall would rather not be responsible for it.
|-
| (title text) || [desperately] Maybe this is from some country where they use commas as decimal points, and also as digit separators after the decimal, and also use random other characters for decoration??? || In the United States, UK, India, China, Korea, Japan, and other countries, the dot is used to separate the integer part of a number from its fractional part. However, most of mainland Europe and South America uses the comma for this purpose. In some places, one may also see the period used to group digits. Since the final number is unreadable and potentially infinite, this implies that Randall has, naturally, made up an explanation instead of trying to figure out what was really happening.
|-
|}

There are a few possible explanations for seeing a number like this appear in a software application. It may have appeared due to an out-of-bounds read operation where the computer tries to interpret unrelated data as text. Another possible explanation is misuse of the {{w|printf}} function in the {{w|C programming language}}. If strings passed to printf do not contain a {{w|null byte}} to terminate the string, it will go further into memory, again into unrelated data. Or the programmer might have several printf statements back to back, forgetting that printf doesn't add newlines (like the println function in other programming languages), so all their debug information gets printed on the same line.

==Transcript==
{{incomplete transcript|Don't remove this notice too soon.}}

:Thought Process While Reading a Big Number
:54,000,000,000,000,000,000,0000,0000,054,000"000,00c2ef46 [continuing off the edge of the comic]
:[At various points on the number, a line is connected from the number to a note]

:[Before first comma] 54! Great! I know that number. Solid start.
:[After first comma] Oh, a comma and some zeros. Cool. Must be at least 54 thousand.
:[After second comma] A second comma! I wonder if we're talking population or money.
:[After third comma] Yikes! If this is money, it's a '''''lot''''' of money.
:[After fifth comma] Why am I reading this? Whatever this number is, I'm not going to be able to visualize it.
:[After sixth comma] All right, either someone made a unit conversion error or this is one of those incomprehensible astronomy numbers.
:[After seventh comma (first group of 4 zeros)] Oh no. Is this a misplaced comma or an extra zero? I guess we'll see if the next group has two zeros or three. If it's two, we can at least hope the digits are right.
:[After eighth comma (second group of 4 zeros)] Oh '''''no'''''.
:[After ninth comma (second 54)] What is happening.
:[By quotation mark] Someone messed up real bad.
:[By mixed alphanumeric numbers] Someone messed up real bad and I hope it wasn't me.

{{comic discussion}}<noinclude>

[[Category:Math]]

explain xkcd - User contributions [en]

3102: Reading a Big Number