138351217701200
138,351,217,701,200 is an even composite number composed of six prime numbers multiplied together.
138351217701200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred forty divisors.
Prime factorization of 138351217701200:
24 × 52 × 72 × 17 × 61 × 26092
(2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 17 × 61 × 2609 × 2609)See below for interesting mathematical facts about the number 138351217701200 from the Numbermatics database.
Names of 138351217701200
- Cardinal: 138351217701200 can be written as One hundred thirty-eight trillion, three hundred fifty-one billion, two hundred seventeen million, seven hundred one thousand, two hundred.
Scientific notation
- Scientific notation: 1.383512177012 × 1014
Factors of 138351217701200
Divisors of 138351217701200
- Number of divisors d(n): 540
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 49 50 56 61 68 70 80 85 98 100 112 119 122 136 140 170 175 196 200 238 244 245 272 280 305 340 350 392 400 425 427 476 488 490 560 595 610 680 700 784 833 850 854 952 976 980 1037 1190 1220 1225 1360 1400 1525 1666 1700 1708 1904 1960 2074 2135 2380 2440 2450 2609 2800 2975 2989 3050 3332 3400 3416 3920 4148 4165 4270 4760 4880 4900 5185 5218 5950 5978 6100 6664 6800 6832 7259 8296 8330 8540 9520 9800 10370 10436 10675 11900 11956 12200 13045 13328 14518 14945 16592 16660 17080 18263 19600 20740 20825 20872 21350 23800 23912 24400 25925 26090 29036 29890 33320 34160 36295 36526 41480 41650 41744 42700 44353 47600 47824 50813 51850 52180 58072 59780 65225 66640 72590 73052 74725 82960 83300 85400 88706 91315 101626 103700 104360 116144 119560 127841 130450 145180 146104 149450 159149 166600 170800 177412 181475 182630 203252 207400 208720 221765 239120 254065 255682 260900 290360 292208 298900 310471 318298 333200 354824 362950 365260 406504 414800 443530 456575 508130 511364 521800 580720 597800 620942 636596 639205 709648 725900 730520 795745 813008 887060 913150 1016260 1022728 1043600 1108825 1114043 1195600 1241884 1270325 1273192 1278410 1451800 1461040 1552355 1591490 1774120 1826300 2032520 2045456 2173297 2217650 2228086 2483768 2540650 2546384 2556820 2705533 2903600 3104710 3182980 3196025 3548240 3652600 3978725 4065040 4346594 4435300 4456172 4967536 5081300 5113640 5411066 5570215 6209420 6365960 6392050 6806881 7305200 7761775 7798301 7957450 8693188 8870600 8912344 10162600 10227280 10822132 10866485 11140430 12418840 12731920 12784100 13527665 13613762 15523550 15596602 15914900 17386376 17741200 17824688 18938731 20325200 21644264 21732970 22280860 24837680 25568200 27055330 27227524 27851075 31047100 31193204 31829800 34034405 34772752 37877462 38991505 43288528 43465940 44561720 47648167 51136400 54110660 54332425 54455048 55702150 62094200 62386408 63659600 67638325 68068810 75754924 77983010 86931880 89123440 94693655 95296334 108221320 108664850 108910096 111404300 115716977 124188400 124772816 132571117 135276650 136137620 151509848 155966020 170172025 173863760 189387310 190592668 194957525 216442640 217329700 222808600 231433954 238240835 265142234 270553300 272275240 303019696 311932040 333537169 340344050 378774620 381185336 389915050 415219741 434659400 445617200 462867908 473468275 476481670 530284468 541106600 544550480 578584885 623864080 662855585 667074338 680688100 757549240 762370672 779830100 810018839 830439482 869318800 925735816 946936550 952963340 1060568936 1082213200 1157169770 1191204175 1325711170 1334148676 1361376200 1515098480 1559660200 1620037678 1660878964 1667685845 1851471632 1893873100 1905926680 2076098705 2121137872 2314339540 2382408350 2651422340 2668297352 2722752400 2892924425 2906538187 3119320400 3240075356 3314277925 3321757928 3335371690 3787746200 3811853360 4050094195 4152197410 4628679080 4764816700 5302844680 5336594704 5670131873 5785848850 5813076374 6480150712 6628555850 6643515856 6670743380 7058735597 7575492400 8100188390 8304394820 8338429225 9257358160 9529633400 10380493525 10605689360 11340263746 11571697700 11626152748 12960301424 13257111700 13341486760 14117471194 14532690935 16200376780 16608789640 16676858450 19059266800 20250470975 20345767309 20760987050 22680527492 23143395400 23252305496 26514223400 26682973520 28234942388 28350659365 29065381870 32400753560 33217579280 33353716900 35293677985 40500941950 40691534618 41521974100 45361054984 46286790800 46504610992 49411149179 53028446800 56469884776 56701318730 58130763740 64801507120 66707433800 70587355970 72663454675 81001883900 81383069236 83043948200 90722109968 98822298358 101728836545 112939769552 113402637460 116261527480 133414867600 141174711940 141753296825 145326909350 162003767800 162766138472 166087896400 176468389925 197644596716 203457673090 226805274920 232523054960 247055745895 282349423880 283506593650 290653818700 324007535600 325532276944 345878044253 352936779850 395289193432 406915346180 453610549840 494111491790 508644182725 564698847760 567013187300 581307637400 691756088506 705873559700 790578386864 813830692360 988222983580 1017288365450 1134026374600 1162615274800 1235278729475 1383512177012 1411747119400 1627661384720 1729390221265 1976445967160 2034576730900 2268052749200 2470557458950 2767024354024 2823494238800 3458780442530 3952891934320 4069153461800 4941114917900 5534048708048 6917560885060 8138306923600 8646951106325 9882229835800 13835121770120 17293902212650 19764459671600 27670243540240 34587804425300 69175608850600 138351217701200
- Sum of all divisors σ(n): 416271893173812
- Sum of proper divisors (its aliquot sum) s(n): 277920675472612
- 138351217701200 is an abundant number, because the sum of its proper divisors (277920675472612) is greater than itself. Its abundance is 139569457771412
Bases of 138351217701200
- Binary: 111110111010100011001110010111101110001010100002
- Hexadecimal: 0x7DD4672F7150
- Base-36: 1D1HO6WA4W
Squares and roots of 138351217701200
- 138351217701200 squared (1383512177012002) is 19141059439404836212481440000
- 138351217701200 cubed (1383512177012003) is 2648188881532707724593148966104465728000000
-
The
square root of 138351217701200 is 11762279.4432541857 -
The
cube root of 138351217701200 is 51720.2952369497
Scales and comparisons
How big is 138351217701200?- 138,351,217,701,200 seconds is equal to 4,399,140 years, 40 weeks, 1 day, 21 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,351,217,701,200 would take you about ten million, nine hundred ninety-seven thousand, eight hundred fifty-one years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 138351217701200 cubic inches would be around 4310 feet tall.
Recreational maths with 138351217701200
- 138351217701200 backwards is 002107712153831
- The number of decimal digits it has is: 15
- The sum of 138351217701200's digits is 41
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138351217701200 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
APA style:
Numbermatics. (2024). Number 138351217701200 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/138351217701200/
Chicago style:
Numbermatics. 2024. "Number 138351217701200 - Facts about the integer". https://numbermatics.com/n/138351217701200/
The information we have on file for 138351217701200 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 138351217701200, math, Factors of 138351217701200, curriculum, school, college, exams, university, Prime factorization of 138351217701200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, three hundred fifty-one billion, two hundred seventeen million, seven hundred one thousand, two hundred.