13026956378380800
13,026,956,378,380,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13026956378380800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
13026956378380800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 13026956378380800:
29 × 3 × 52 × 37 × 47 × 1093 × 178481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 37 × 47 × 1093 × 178481)See below for interesting mathematical facts about the number 13026956378380800 from the Numbermatics database.
Names of 13026956378380800
- Cardinal: 13026956378380800 can be written as Thirteen quadrillion, twenty-six trillion, nine hundred fifty-six billion, three hundred seventy-eight million, three hundred eighty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.30269563783808 × 1016
Factors of 13026956378380800
Divisors of 13026956378380800
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 47 48 50 60 64 74 75 80 94 96 100 111 120 128 141 148 150 160 185 188 192 200 222 235 240 256 282 296 300 320 370 376 384 400 444 470 480 512 555 564 592 600 640 705 740 752 768 800 888 925 940 960 1093 1110 1128 1175 1184 1200 1280 1410 1480 1504 1536 1600 1739 1776 1850 1880 1920 2186 2220 2256 2350 2368 2400 2560 2775 2820 2960 3008 3200 3279 3478 3525 3552 3700 3760 3840 4372 4440 4512 4700 4736 4800 5217 5465 5550 5640 5920 6016 6400 6558 6956 7050 7104 7400 7520 7680 8695 8744 8880 9024 9400 9472 9600 10434 10930 11100 11280 11840 12032 12800 13116 13912 14100 14208 14800 15040 16395 17390 17488 17760 18048 18800 18944 19200 20868 21860 22200 22560 23680 24064 26085 26232 27325 27824 28200 28416 29600 30080 32790 34780 34976 35520 36096 37600 38400 40441 41736 43475 43720 44400 45120 47360 51371 52170 52464 54650 55648 56400 56832 59200 60160 65580 69560 69952 71040 72192 75200 80882 81975 83472 86950 87440 88800 90240 94720 102742 104340 104928 109300 111296 112800 118400 120320 121323 130425 131160 139120 139904 142080 150400 154113 161764 163950 166944 173900 174880 177600 178481 180480 202205 205484 208680 209856 218600 222592 225600 236800 242646 256855 260850 262320 278240 279808 284160 300800 308226 323528 327900 333888 347800 349760 355200 356962 360960 404410 410968 417360 419712 437200 445184 451200 473600 485292 513710 521700 524640 535443 556480 559616 601600 606615 616452 647056 655800 667776 695600 699520 710400 713924 770565 808820 821936 834720 839424 874400 890368 892405 902400 970584 1011025 1027420 1043400 1049280 1070886 1112960 1213230 1232904 1284275 1294112 1311600 1335552 1391200 1399040 1420800 1427848 1541130 1617640 1643872 1669440 1678848 1748800 1784810 1804800 1900727 1941168 2022050 2054840 2086800 2098560 2141772 2225920 2426460 2465808 2568550 2588224 2623200 2671104 2677215 2782400 2798080 2855696 3033075 3082260 3235280 3287744 3338880 3497600 3569620 3801454 3852825 3882336 4044100 4109680 4173600 4197120 4283544 4451840 4462025 4852920 4931616 5137100 5176448 5246400 5354430 5564800 5702181 5711392 6066150 6164520 6470560 6575488 6603797 6677760 6995200 7139240 7602908 7705650 7764672 8088200 8219360 8347200 8388607 8394240 8567088 8924050 9503635 9705840 9863232 10274200 10352896 10492800 10708860 11129600 11404362 11422784 12132300 12329040 12941120 13150976 13207594 13355520 13386075 13990400 14278480 15205816 15411300 15529344 16176400 16438720 16694400 16777214 17134176 17848100 19007270 19411680 19726464 19811391 20548400 20705792 20985600 21417720 22259200 22808724 22845568 24264600 24658080 25165821 25882240 26301952 26415188 26772150 28510905 28556960 30411632 30822600 31058688 32352800 32877440 33018985 33388800 33554428 34268352 35696200 38014540 38823360 39452928 39622782 41096800 41943035 41971200 42835440 45617448 45691136 47518175 48529200 49316160 50331642 51764480 52830376 53544300 57021810 57113920 60823264 61645200 62117376 64705600 65754880 66037970 66777600 67108856 68536704 71392400 76029080 77646720 78905856 79245564 82193600 83886070 85670880 91234896 91382272 95036350 97058400 98632320 99056955 100663284 103528960 105660752 107088600 114043620 114227840 121646528 123290400 125829105 129411200 131509760 132075940 134217712 137073408 142554525 142784800 152058160 155293440 158491128 164387200 165094925 167772140 171341760 182469792 190072700 194116800 195079733 197264640 198113910 201326568 209715175 211321504 214177200 228087240 228455680 243293056 246580800 251658210 258822400 264151880 268435424 274146816 285109050 285569600 304116320 310378459 310586880 316982256 328774400 330189850 335544280 342683520 364939584 380145400 388233600 390159466 394529280 396227820 402653136 419430350 422643008 428354400 456174480 456911360 486586112 493161600 495284775 503316420 517644800 528303760 536870848 570218100 571139200 585239199 608232640 620756918 629145525 633964512 657548800 660379700 671088560 685367040 729879168 760290800 776467200 780318932 792455640 805306272 838860700 845286016 856708800 912348960 931135377 973172224 975398665 986323200 990569550 1006632840 1056607520 1073741696 1140436200 1142278400 1170478398 1216465280 1241513836 1258291050 1267929024 1320759400 1342177120 1370734080 1459758336 1520581600 1551892295 1552934400 1560637864 1584911280 1610612544 1677721400 1690572032 1713417600 1824697920 1862270754 1950797330 1972646400 1981139100 2013265680 2113215040 2147483392 2280872400 2284556800 2340956796 2432930560 2483027672 2516582100 2535858048 2641518800 2684354240 2919516672 2926195995 3041163200 3103784590 3121275728 3169822560 3221225088 3355442800 3381144064 3426835200 3649395840 3724541508 3901594660 3962278200 4026531360 4226430080 4294966784 4561744800 4655676885 4681913592 4865861120 4876993325 4966055344 5033164200 5071716096 5283037600 5368708480 5852391990 6082326400 6207569180 6242551456 6339645120 6442450176 6710885600 6853670400 7217950121 7298791680 7449083016 7759461475 7803189320 7924556400 8053062720 8452860160 9123489600 9168747451 9311353770 9363827184 9753986650 9932110688 10066328400 10143432192 10566075200 10737416960 11704783980 12164652800 12415138360 12485102912 12679290240 12884900352 13421771200 14435900242 14597583360 14630979975 14898166032 15518922950 15606378640 15849112800 16106125440 16905720320 18246979200 18337494902 18622707540 18727654368 19507973300 19864221376 20132656800 21132150400 21474833920 21653850363 23278384425 23409567960 24329305600 24830276720 24970205824 25358580480 26843542400 27506242353 28871800484 29261959950 29796332064 31037845900 31212757280 31698225600 32212250880 36089750605 36493958400 36674989804 37245415080 37455308736 39015946600 39728442752 40265313600 42264300800 43307700726 45843737255 46556768850 46819135920 49660553440 49940411648 50717160960 53687084800 55012484706 57743600968 58523919900 59592664128 62075691800 62425514560 63396451200 64424501760 72179501210 72987916800 73349979608 74490830160 74910617472 78031893200 79456885504 80530627200 84528601600 86615401452 91687474510 93113537700 93638271840 99321106880 99880823296 107374169600 108269251815 110024969412 115487201936 117047839800 119185328256 124151383600 124851029120 126792902400 137531211765 144359002420 146699959216 148981660320 149821234944 156063786400 158913771008 161061254400 173230802904 180448753025 183374949020 186227075400 187276543680 198642213760 216538503630 220049938824 229218686275 230974403872 234095679600 238370656512 248302767200 249702058240 253585804800 275062423530 288718004840 293399918432 297963320640 299642469888 312127572800 322122508800 339243655687 346461605808 360897506050 366749898040 372454150800 374553087360 397284427520 433077007260 440099877648 458437372550 461948807744 468191359200 476741313024 496605534400 499404116480 541346259075 550124847060 577436009680 586799836864 595926641280 624255145600 678487311374 687656058825 692923211616 721795012100 733499796080 744908301600 749106174720 794568855040 866154014520 880199755296 916874745100 923897615488 936382718400 993211068800 1017730967061 1082692518150 1100249694120 1154872019360 1173599673728 1191853282560 1248510291200 1356974622748 1375312117650 1385846423232 1443590024200 1466999592160 1489816603200 1498212349440 1696218278435 1732308029040 1760399510592 1833749490200 1847795230976 1872765436800 1986422137600 2035461934122 2165385036300 2200499388240 2309744038720 2347199347456 2383706565120 2497020582400 2713949245496 2750624235300 2771692846464 2887180048400 2933999184320 2979633206400 3392436556870 3464616058080 3520799021184 3667498980400 3695590461952 3745530873600 3972844275200 4070923868244 4330770072600 4400998776480 4619488077440 4694398694912 5088654835305 5427898490992 5501248470600 5543385692928 5774360096800 5867998368640 5959266412800 6784873113740 6929232116160 7041598042368 7334997960800 7491061747200 8141847736488 8481091392175 8661540145200 8801997552960 9238976154880 10177309670610 10855796981984 11002496941200 11086771385856 11548720193600 11735996737280 11918532825600 13569746227480 13858464232320 14083196084736 14669995921600 16283695472976 16962182784350 17323080290400 17603995105920 18477952309760 20354619341220 21711593963968 22004993882400 23097440387200 23471993474560 25443274176525 27139492454960 27716928464640 29339991843200 32567390945952 33924365568700 34646160580800 35207990211840 40709238682440 43423187927936 44009987764800 46194880774400 50886548353050 54278984909920 55433856929280 58679983686400 65134781891904 67848731137400 69292321161600 70415980423680 81418477364880 86846375855872 88019975529600 92389761548800 101773096706100 108557969819840 117359967372800 130269563783808 135697462274800 138584642323200 162836954729760 173692751711744 176039951059200 203546193412200 217115939639680 260539127567616 271394924549600 277169284646400 325673909459520 352079902118400 407092386824400 434231879279360 521078255135232 542789849099200 651347818919040 814184773648800 868463758558720 1085579698198400 1302695637838080 1628369547297600 2171159396396800 2605391275676160 3256739094595200 4342318792793600 6513478189190400 13026956378380800
- Sum of all divisors σ(n): 45178717538870784
- Sum of proper divisors (its aliquot sum) s(n): 32151761160489984
- 13026956378380800 is an abundant number, because the sum of its proper divisors (32151761160489984) is greater than itself. Its abundance is 19124804782109184
Bases of 13026956378380800
- Binary: 1011100100011111110010101000110111000000011010000000002
- Hexadecimal: 0x2E47F2A3701A00
- Base-36: 3K9O555N3EO
Squares and roots of 13026956378380800
- 13026956378380800 squared (130269563783808002) is 169701592484236208861629808640000
- 13026956378380800 cubed (130269563783808003) is 2210695242633900111906545703472276137050112000000
-
The
square root of 13026956378380800 is 114135692.8326139351 -
The
cube root of 13026956378380800 is 235295.8782796993
Scales and comparisons
How big is 13026956378380800?- 13,026,956,378,380,800 seconds is equal to 414,216,917 years, 42 weeks, 1 day, 2 hours, 40 minutes.
-
To count from 1 to 13,026,956,378,380,800 would take you about one billion, two hundred forty-two million, six hundred fifty thousand, seven hundred fifty-three 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 13026956378380800 cubic inches would be around 19608 feet tall.
Recreational maths with 13026956378380800
- 13026956378380800 backwards is 00808387365962031
- The number of decimal digits it has is: 17
- The sum of 13026956378380800's digits is 69
- More coming soon!
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The information we have on file for 13026956378380800 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!
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