Summary for Integer Information

Some users have stated that having information about numbers would be useful; that way, they could look up a number and see information about it. Following this intro is a sample of output for the integer 5040.

I have come up with a list of things that could be useful to know about a given integer. Please /msg me or post a writeup stating any opinions you may have, and/or information to add.

Questions (and their answers)

Instead of noding all of these numbers, why don't you just embed it into the Everything engine?
Finding some things, such as the prime factorization, is computationally expensive. Its easier to just calculate everything once, then use it like a lookup table.


Example for 5040

Information about the integer 5040. For information about the notation used in this writeup, see [???].
(the following information would be in another writeup)
Except where indicated otherwise, all numbers are in decimal.
Exponents are represented two ways; for example, 2 to the 3rd power is shown as 23 and 2^3 .
Multiplication is shown via a *; for example, 2 times 3 is shown as 2 * 3 .
Division is shown via a /; for example, 2 divided by 3 is shown as 2/3 .
Numbers written in scientific notation denote the * 10m, or 10^m, via a small capital E; for example, 0.000001234 would be displayed as 1.234E-6, which is the same as 1.234 * 10-6 or 1.234 * 10^-6 .
(the previous information would be in another writeup)

5040

5040

= 7! (of course, this is only shown on integers that are factorials)
= 24 * 32 * 5 * 7
= 2^4 * 3^2 * 5 * 7
= 2 * 2 * 2 * 2 * 3 * 3 * 5 * 7
= 1*5040 = 2*2520 = 3*1680 = 4*1260 = 5*1008 = 6*840 = 7*720 = 8*630 = 9*560 = 10*504 = 12*420 = 14*360 = 15*336 = 16*315 = 18*280 = 20*252 = 21*240 = 24*210 = 28*180 = 30*168 = 35*144 = 36*140 = 40*126 = 42*120 = 45*112 = 48*105 = 56*90 = 60*84 = 63*80 = 70*72 = 72*70 = 80*63 = 84*60 = 90*56 = 105*48 = 112*45 = 120*42 = 126*40 = 140*36 = 144*35 = 168*30 = 180*28 = 210*24 = 240*21 = 252*20 = 280*18 = 315*16 = 336*15 = 360*14 = 420*12 = 504*10 = 560*9 = 630*8 = 720*7 = 840*6 = 1008*5 = 1260*4 = 1680*3 = 2520*2 = 5040*1

note: in the real writeups, the accuracy will be improved by having more digits
inverse of 5040 = 1/5040 = approximately 1.98412698412E-4
square root of 5040 = 50401/2 = 5040^0.5 = approximately 70.992957397
cube root of 5040 = 50401/3 = 5040^(1/3) = approximately 17.1452377646
fourth root of 5040 = 50401/4 = 5040^0.25 = approximately 8.42573186122
fifth root of 5040 = 50401/5 = 5040^0.2 = approximately 5.501563211967
base 2 log of 5040 = lg 5040 = log2 5040 = approximately 12.299208
natural log 5040 = loge 5040 = ln 5040 = approximately 8.52516136
base 10 log of 5040 = log 5040 = approximately 3.7024305

50402 = 5040^2 = 25401600
5040e = 5040^e = approximately 11594436552.47860861810699
50403 = 5040^3 = 128024064000
5040pi = 5040^pi = 5040π = 5040^π = approximately 428083583747.19 50404 = 5040^4 = 645241282560000
50405 = 5040^5 = 3252016064102400000

e5040 = e^5040 = approximately 6.98535999046338054998523E2188
25040 = 2^5040 = 15530239 2568755602 9547037916 4511750917 1853024379 8295260539 4191497986 9764308014 1371015808 5370325731 6967419024 4753012195 2923542649 9580989700 4924711175 9213067957 8703743169 6432694656 0172134854 1513593756 4615762856 9334333532 3948307757 4607149481 1230079973 9460308904 9208020969 5440994291 3408096419 4320334127 3606277264 3941590080 4468533732 5236463496 9631941189 9956195181 9888452071 4851905373 6737863018 0381899243 7528114546 9028935241 0969361993 4375650827 4029742833 6444363916 6789257783 5582877545 4415276207 2425073758 0738740876 7385374949 1025245350 7593702022 8819864175 6277483105 2868551264 5244518643 3581045273 7853952162 1877430213 7457946970 2418870404 2377876950 7844532372 3951269143 3435041006 0838193463 4677017582 5912273726 2877689997 2544460288 9462744150 7215258630 0831498232 1402191469 1630385344 7303601243 7024624610 1179225617 1713599482 5550282072 4998630578 4145634337 7173403988 5865200126 6408495814 1810161759 0256731549 9741800117 9854181028 7432442790 2846511500 6840636236 5126351529 0583747819 9801731760 5130002324 3598378015 7806389831 8531549204 8016790973 2711228164 3491227164 4051471125 7273644360 6882046580 3634875490 5862126201 1237393353 2065394630 4783432274 0801769791 9314084465 6592570147 0542859326 5489925332 9968375713 5685782623 4919099774 9669920837 8601007696 4382961908 8495655892 3555954397 5323010180 2443018624 0362810108 2847859096 8738909016 1977695156 9195300835 8960551715 7247030242 1657058750 8706228365 6720276403 7909042868 7296308797 2571265678 9453867720 2056376326 3215540821 7640491920 7113480657 1089438720 1827034340 6058859359 3872862671 0447324424 6781310098 3236427776 = approximately 1.55302392568755602954703791E1517

5040

= GVK (?????) does anybody know a name for this? where A=1, B=2, etc., Z=26, AA=27, etc.
= VXL Roman Numerals (legal)
= VXL Roman Numerals (short)
= five thousand forty (English)
= five zero four zero (English digits)
= cinco mil cuarenta (Spanish)
= cinco cero cuatro cero (Spanish digits)

5040

= 1 0011 1011 00002 = 1 0011 1011 0000 base 2 (binary)
= 202202003 = 20220200 base 3
= 116608 = 11660 base 8 (octal)
= 504010 = 5040 base 10 (decimal)
= 13B016 = 13B0 base 16 (hexadecimal, "hex")


here would be a list of things that are commonly used by this integer; for example, 7 would list "days in a week", "oceans in the world", and other similar things)


Closing
That concludes the sample. Again, either send me (N-Wing) a message or post a writeup here with your thoughts. Thank you.

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