130135746571200
130,135,746,571,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 130135746571200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 840 divisors.
130135746571200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred forty divisors.
Prime factorization of 130135746571200:
26 × 34 × 52 × 331 × 677 × 4481
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 331 × 677 × 4481)See below for interesting mathematical facts about the number 130135746571200 from the Numbermatics database.
Names of 130135746571200
- Cardinal: 130135746571200 can be written as One hundred thirty trillion, one hundred thirty-five billion, seven hundred forty-six million, five hundred seventy-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.301357465712 × 1014
Factors of 130135746571200
Divisors of 130135746571200
- Number of divisors d(n): 840
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 135 144 150 160 162 180 192 200 216 225 240 270 288 300 320 324 331 360 400 405 432 450 480 540 576 600 648 662 675 677 720 800 810 864 900 960 993 1080 1200 1296 1324 1350 1354 1440 1600 1620 1655 1728 1800 1986 2025 2031 2160 2400 2592 2648 2700 2708 2880 2979 3240 3310 3385 3600 3972 4050 4062 4320 4481 4800 4965 5184 5296 5400 5416 5958 6093 6480 6620 6770 7200 7944 8100 8124 8275 8640 8937 8962 9930 10155 10592 10800 10832 11916 12186 12960 13240 13443 13540 14400 14895 15888 16200 16248 16550 16925 17874 17924 18279 19860 20310 21184 21600 21664 22405 23832 24372 24825 25920 26480 26811 26886 27080 29790 30465 31776 32400 32496 33100 33850 35748 35848 36558 39720 40329 40620 43200 43328 44685 44810 47664 48744 49650 50775 52960 53622 53772 54160 54837 59580 60930 63552 64800 64992 66200 67215 67700 71496 71696 73116 74475 79440 80658 81240 89370 89620 91395 95328 97488 99300 101550 105920 107244 107544 108320 109674 112025 119160 120987 121860 129600 129984 132400 134055 134430 135400 142992 143392 146232 148950 152325 158880 161316 162480 178740 179240 182790 190656 194976 198600 201645 203100 214488 215088 216640 219348 223425 224050 224087 238320 241974 243720 264800 268110 268860 270800 274185 285984 286784 292464 297900 304650 317760 322632 324960 336075 357480 358480 362961 365580 389952 397200 403290 406200 428976 430176 438696 446850 448100 448174 456975 476640 483948 487440 529600 536220 537720 541600 548370 571968 584928 595800 604935 609300 645264 649920 670275 672150 672261 714960 716960 725922 731160 794400 806580 812400 857952 860352 877392 893700 896200 896348 913950 953280 967896 974880 1008225 1072440 1075440 1083200 1096740 1120435 1169856 1191600 1209870 1218600 1290528 1340550 1344300 1344522 1370925 1429920 1433920 1451844 1462320 1483211 1588800 1613160 1624800 1715904 1754784 1787400 1792400 1792696 1814805 1827900 1935792 1949760 2016450 2016783 2144880 2150880 2193480 2240870 2383200 2419740 2437200 2581056 2681100 2688600 2689044 2741850 2859840 2903688 2924640 2966422 3024675 3033637 3226320 3249600 3361305 3509568 3574800 3584800 3585392 3629610 3655800 3871584 4032900 4033566 4289760 4301760 4386960 4449633 4481740 4766400 4839480 4874400 5362200 5377200 5378088 5483700 5602175 5807376 5849280 5932844 6049350 6050349 6067274 6452640 6722610 7149600 7169600 7170784 7259220 7311600 7416055 7743168 8065800 8067132 8579520 8773920 8899266 8963480 9074025 9100911 9678960 9748800 10083915 10724400 10754400 10756176 10967400 11204350 11614752 11865688 12098700 12100698 12134548 12905280 13348899 13445220 14299200 14341568 14518440 14623200 14832110 15168185 16131600 16134264 16806525 17547840 17798532 17926960 18148050 18151047 18201822 19357920 20167830 21448800 21508800 21512352 21934800 22248165 22408700 23229504 23731376 24197400 24201396 24269096 26697798 26890440 27302733 29036880 29246400 29664220 30251745 30336370 32263200 32268528 33613050 35597064 35853920 36296100 36302094 36403644 37080275 38715840 40046697 40335660 42897600 43024704 43869600 44496330 44817400 45504555 47462752 48394800 48402792 48538192 50419575 53395596 53780880 54605466 58073760 59328440 60503490 60672740 64526400 64537056 66744495 67226100 71194128 71707840 72592200 72604188 72807288 74160550 75840925 80093394 80671320 81908199 87739200 88992660 89634800 90755235 91009110 94925504 96789600 96805584 97076384 100839150 106791192 107561760 109210932 111240825 116147520 118656880 120140091 121006980 121345480 129074112 133488990 134452200 136513665 142388256 145184400 145208376 145614576 148321100 151258725 151681850 160186788 161342640 163816398 177985320 179269600 181510470 182018220 193579200 193611168 194152768 200233485 201678300 213582384 215123520 218421864 222481650 227522775 237313760 240280182 242013960 242690960 245724597 266977980 268904400 273027330 284776512 290368800 290416752 291229152 296642200 302517450 303363700 320373576 322685280 327632796 333722475 355970640 358539200 363020940 364036440 387222336 400466970 403356600 409540995 427164768 436843728 444963300 453776175 455045550 474627520 480560364 484027920 485381920 491449194 533955960 537808800 546054660 580737600 580833504 582458304 593284400 600700455 605034900 606727400 640747152 645370560 655265592 667444950 682568325 711941280 726041880 728072880 800933940 806713200 819081990 854329536 873687456 889926600 907552350 910091100 961120728 968055840 970763840 982898388 1001167425 1004133847 1067911920 1075617600 1092109320 1161667008 1186568800 1201400910 1210069800 1213454800 1228622985 1281494304 1310531184 1334889900 1365136650 1423882560 1452083760 1456145760 1601867880 1613426400 1638163980 1747374912 1779853200 1815104700 1820182200 1922241456 1936111680 1965796776 2002334850 2008267694 2047704975 2135823840 2184218640 2373137600 2402801820 2420139600 2426909600 2457245970 2562988608 2621062368 2669779800 2730273300 2904167520 2912291520 3003502275 3012401541 3203735760 3226852800 3276327960 3559706400 3630209400 3640364400 3844482912 3931593552 4004669700 4016535388 4095409950 4271647680 4368437280 4805603640 4840279200 4853819200 4914491940 5020669235 5242124736 5339559600 5460546600 5808335040 6007004550 6024803082 6143114925 6407471520 6552655920 7119412800 7260418800 7280728800 7688965824 7863187104 8009339400 8033070776 8190819900 8736874560 9037204623 9611207280 9680558400 9828983880 10041338470 10679119200 10921093200 12014009100 12049606164 12286229850 12814943040 13105311840 14520837600 14561457600 15062007705 15726374208 16018678800 16066141552 16381639800 18074409246 19222414560 19657967760 20082676940 21358238400 21842186400 24028018200 24099212328 24572459700 25103346175 26210623680 27111613869 29041675200 30124015410 32037357600 32132283104 32763279600 36148818492 38444829120 39315935520 40165353880 43684372800 45186023115 48056036400 48198424656 49144919400 50206692350 54223227738 60248030820 64074715200 64264566208 65526559200 72297636984 75310038525 78631871040 80330707760 81334841607 90372046230 96112072800 96396849312 98289838800 100413384700 108446455476 120496061640 131053118400 135558069345 144595273968 150620077050 160661415520 162669683214 180744092460 192224145600 192793698624 196579677600 200826769400 216892910952 225930115575 240992123280 271116138690 289190547936 301240154100 321322831040 325339366428 361488184920 393159355200 401653538800 406674208035 433785821904 451860231150 481984246560 542232277380 578381095872 602480308200 650678732856 677790346725 722976369840 803307077600 813348416070 867571643808 903720462300 963968493120 1084464554760 1204960616400 1301357465712 1355580693450 1445952739680 1606614155200 1626696832140 1735143287616 1807440924600 2033371040175 2168929109520 2409921232800 2602714931424 2711161386900 2891905479360 3253393664280 3614881849200 4066742080350 4337858219040 4819842465600 5205429862848 5422322773800 6506787328560 7229763698400 8133484160700 8675716438080 10844645547600 13013574657120 14459527396800 16266968321400 21689291095200 26027149314240 32533936642800 43378582190400 65067873285600 130135746571200
- Sum of all divisors σ(n): 480607357334544
- Sum of proper divisors (its aliquot sum) s(n): 350471610763344
- 130135746571200 is an abundant number, because the sum of its proper divisors (350471610763344) is greater than itself. Its abundance is 220335864192144
Bases of 130135746571200
- Binary: 111011001011011100101101111001001101011110000002
- Hexadecimal: 0x765B96F26BC0
- Base-36: 1A4NJBI400
Squares and roots of 130135746571200
- 130135746571200 squared (1301357465712002) is 16935312535643592556669440000
- 130135746571200 cubed (1301357465712003) is 2203889540242581027841844918171824128000000
-
The
square root of 130135746571200 is 11407705.5787393111 -
The
cube root of 130135746571200 is 50675.5964823005
Scales and comparisons
How big is 130135746571200?- 130,135,746,571,200 seconds is equal to 4,137,914 years, 10 weeks, 4 days, 12 hours.
-
To count from 1 to 130,135,746,571,200 would take you about ten million, three hundred forty-four thousand, seven hundred eighty-five 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 130135746571200 cubic inches would be around 4223 feet tall.
Recreational maths with 130135746571200
- 130135746571200 backwards is 002175647531031
- 130135746571200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 130135746571200's digits is 45
- 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 130135746571200 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
APA style:
Numbermatics. (2024). Number 130135746571200 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/130135746571200/
Chicago style:
Numbermatics. 2024. "Number 130135746571200 - Facts about the integer". https://numbermatics.com/n/130135746571200/
The information we have on file for 130135746571200 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 130135746571200, math, Factors of 130135746571200, curriculum, school, college, exams, university, Prime factorization of 130135746571200, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty trillion, one hundred thirty-five billion, seven hundred forty-six million, five hundred seventy-one thousand, two hundred.