13870131724848000
13,870,131,724,848,000 is an even composite number composed of six prime numbers multiplied together.
13870131724848000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13870131724848000:
27 × 3 × 53 × 72 × 412 × 18732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 41 × 41 × 1873 × 1873)See below for interesting mathematical facts about the number 13870131724848000 from the Numbermatics database.
Names of 13870131724848000
- Cardinal: 13870131724848000 can be written as Thirteen quadrillion, eight hundred seventy trillion, one hundred thirty-one billion, seven hundred twenty-four million, eight hundred forty-eight thousand.
Scientific notation
- Scientific notation: 1.3870131724848 × 1016
Factors of 13870131724848000
Divisors of 13870131724848000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 49 50 56 60 64 70 75 80 82 84 96 98 100 105 112 120 123 125 128 140 147 150 160 164 168 175 192 196 200 205 210 224 240 245 246 250 280 287 294 300 320 328 336 350 375 384 392 400 410 420 448 480 490 492 500 525 560 574 588 600 615 640 656 672 700 735 750 784 800 820 840 861 875 896 960 980 984 1000 1025 1050 1120 1148 1176 1200 1225 1230 1312 1344 1400 1435 1470 1500 1568 1600 1640 1680 1681 1722 1750 1873 1920 1960 1968 2000 2009 2050 2100 2240 2296 2352 2400 2450 2460 2624 2625 2688 2800 2870 2940 3000 3075 3136 3200 3280 3360 3362 3444 3500 3675 3746 3920 3936 4000 4018 4100 4200 4305 4480 4592 4704 4800 4900 4920 5043 5125 5248 5250 5600 5619 5740 5880 6000 6027 6125 6150 6272 6560 6720 6724 6888 7000 7175 7350 7492 7840 7872 8000 8036 8200 8400 8405 8610 9184 9365 9408 9600 9800 9840 10045 10086 10250 10500 11200 11238 11480 11760 11767 12000 12054 12250 12300 13111 13120 13440 13448 13776 14000 14350 14700 14984 15375 15680 15744 16000 16072 16400 16800 16810 17220 18368 18375 18730 18816 19600 19680 20090 20172 20500 21000 21525 22400 22476 22960 23520 23534 24000 24108 24500 24600 25215 26222 26240 26896 27552 28000 28095 28700 29400 29968 30135 30750 31360 32144 32800 33600 33620 34440 35301 35875 36736 36750 37460 39200 39333 39360 40180 40344 41000 42000 42025 43050 44952 45920 46825 47040 47068 48000 48216 49000 49200 50225 50430 52444 53792 55104 56000 56190 57400 58800 58835 59936 60270 61500 64288 65555 65600 67200 67240 68880 70602 71750 73500 74920 76793 78400 78666 78720 80360 80688 82000 82369 84000 84050 86100 89904 91777 91840 93650 94080 94136 96432 98000 98400 100450 100860 104888 107584 107625 110208 112000 112380 114800 117600 117670 119872 120540 123000 126075 128576 131110 131200 134480 137760 140475 141204 143500 147000 149840 150675 153586 156800 157332 160720 161376 164000 164738 168000 168100 172200 176505 179808 183554 183680 187300 188272 192864 196000 196665 196800 200900 201720 209776 210125 215168 215250 224760 229600 230379 234125 235200 235340 239744 241080 246000 247107 251125 252150 257152 262220 268960 275331 275520 280950 282408 287000 294000 294175 299680 301350 307172 314664 321440 322752 327775 328000 329476 336000 336200 344400 353010 359616 367108 374600 376544 383965 385728 392000 393330 393600 401800 403440 411845 419552 420250 430500 449520 458885 459200 460758 468250 470400 470680 482160 492000 494214 502250 504300 524440 537551 537920 550662 551040 561900 564816 574000 588000 588350 599360 602700 614344 629328 630375 642880 645504 655550 656000 658952 672400 688800 702375 706020 719232 734216 749200 753088 753375 767930 771456 784000 786660 803600 806880 823690 839104 840500 861000 882525 899040 917770 918400 921516 936500 941360 964320 983325 984000 988428 1004500 1008600 1048880 1075102 1075840 1101324 1123800 1129632 1148000 1151895 1176000 1176700 1198720 1205400 1228688 1235535 1258656 1260750 1285760 1311100 1317904 1344800 1376655 1377600 1404750 1412040 1468432 1470875 1498400 1506176 1506750 1535860 1573320 1607200 1612653 1613760 1638875 1647380 1678208 1681000 1722000 1765050 1798080 1835540 1843032 1873000 1882720 1919825 1928640 1966650 1968000 1976856 2009000 2017200 2059225 2097760 2150204 2202648 2247600 2259264 2294425 2296000 2303790 2352000 2353400 2410800 2457376 2471070 2517312 2521500 2622200 2635808 2687755 2689600 2753310 2755200 2809500 2824080 2936864 2941750 2996800 3013500 3071720 3146640 3148513 3214400 3225306 3227520 3277750 3294760 3362000 3444000 3508129 3530100 3596160 3671080 3686064 3746000 3762857 3765440 3839650 3857280 3933300 3953712 4018000 4034400 4118450 4195520 4300408 4405296 4412625 4495200 4518528 4588850 4592000 4607580 4706800 4821600 4914752 4916625 4942140 5034624 5043000 5244400 5271616 5375510 5379200 5506620 5619000 5648160 5759475 5873728 5883500 5993600 6027000 6143440 6177675 6293280 6297026 6428800 6450612 6555500 6589520 6724000 6883275 6888000 7016258 7060200 7342160 7372128 7492000 7525714 7530880 7679300 7866600 7907424 8036000 8063265 8068800 8236900 8391040 8600816 8810592 8825250 8990400 9177700 9215160 9413600 9445539 9599125 9643200 9829504 9833250 9884280 10086000 10296125 10488800 10524387 10543232 10751020 11013240 11238000 11288571 11296320 11472125 11518950 11747456 11767000 12054000 12286880 12355350 12586560 12594052 12901224 13111000 13179040 13438775 13448000 13766550 13776000 14032516 14120400 14684320 14744256 14984000 15051428 15358600 15733200 15742565 15814848 16072000 16126530 16137600 16473800 17201632 17540645 17621184 17650500 17980800 18355400 18430320 18814285 18827200 18891078 19198250 19286400 19666500 19768560 20172000 20592250 20977600 21048774 21502040 22026480 22039591 22476000 22577142 22592640 22944250 23037900 23534000 24108000 24556903 24573760 24710700 25173120 25188104 25802448 26222000 26358080 26877550 26896000 27533100 28065032 28240800 28797375 29368640 29488512 29968000 30102856 30717200 30888375 31466400 31485130 31629696 32144000 32253060 32947600 34403264 34416375 35081290 35242368 35301000 36710800 36860640 37628570 37654400 37782156 38396500 39333000 39537120 40316325 40344000 41184500 41955200 42097548 43004080 44052960 44079182 44952000 45154284 45888500 46075800 47068000 47227695 48216000 49113806 49147520 49421400 50376208 51604896 52444000 52621935 52716160 53755100 55066200 56130064 56442855 56481600 57594750 58737280 60205712 61434400 61776750 62932800 62970260 64506120 65895200 66118773 67193875 68806528 68832750 70162580 70602000 73421600 73670709 73721280 75257140 75564312 76793000 78666000 78712825 79074240 80632650 80688000 82369000 84195096 86008160 87703225 88105920 88158364 89904000 90308568 91777000 92151600 94071425 94136000 94455390 96432000 98227612 98842800 100752416 103209792 104888000 105243870 107510200 110132400 110197955 112260128 112885710 112963200 115189500 120411424 122784515 122868800 123553500 125865600 125940520 129012240 131790400 132237546 134387750 137665500 140325160 141204000 143833289 146843200 147341418 147442560 150514280 151128624 153586000 154277137 157332000 157425650 158148480 161265300 164738000 168390192 171898321 172016320 175406450 176211840 176316728 180617136 183554000 184303200 188142850 188272000 188910780 196455224 197685600 201504832 201581625 206419584 209776000 210487740 215020400 220264800 220395910 224520256 225771420 230379000 236138475 240822848 245569030 245737600 247107000 251881040 258024480 263109675 263580800 264475092 268775500 275331000 280650320 282214275 282408000 287666578 293686400 294682836 301028560 302257248 307172000 308554274 314664000 314851300 322530600 329476000 330593865 336780384 343796642 344032640 350812900 352633456 361234272 367108000 368353545 368606400 376285700 377821560 392910448 393564125 395371200 403009664 403163250 420975480 430040800 431499867 438516125 440529600 440791820 449040512 451542840 460758000 462831411 470357125 472276950 481645696 491138060 494214000 503762080 515694963 516048960 526219350 528950184 537551000 550662000 550989775 561300640 564428550 564816000 575333156 589365672 602057120 604514496 613922575 614344000 617108548 629328000 629702600 645061200 658952000 661187730 673560768 687593284 701625800 705266912 719166445 722468544 734216000 736707090 737212800 752571400 755643120 771385685 785820896 787128250 790742400 806326500 841950960 859491605 860081600 862999734 877032250 881059200 881583640 903085680 921516000 925662822 940714250 944553900 982276120 988428000 1006833023 1007524160 1031389926 1032097920 1052438700 1057900368 1075102000 1101324000 1101979550 1122601280 1128857100 1150666312 1178731344 1180692375 1204114240 1209028992 1227845150 1228688000 1234217096 1259405200 1290122400 1315548375 1317904000 1322375460 1347121536 1375186568 1403251600 1410533824 1411071375 1438332890 1444937088 1468432000 1473414180 1505142800 1511286240 1542771370 1571641792 1574256500 1612653000 1652969325 1683901920 1718983210 1720163200 1725999468 1754064500 1763167280 1806171360 1841767725 1843032000 1851325644 1881428500 1889107800 1964552240 1976856000 2013666046 2015048320 2062779852 2104877400 2115800736 2150204000 2157499335 2202648000 2203959100 2245202560 2257714200 2301332624 2314157055 2357462688 2361384750 2408228480 2455690300 2468434192 2518810400 2578474815 2580244800 2631096750 2644750920 2750373136 2754948875 2806503200 2821067648 2822142750 2876665780 2946828360 3010285600 3020499069 3022572480 3069612875 3085542740 3143283584 3148513000 3225306000 3305938650 3367803840 3437966420 3451998936 3508129000 3526334560 3595832225 3612342720 3683535450 3686064000 3702651288 3762857000 3778215600 3856928425 3929104480 3953712000 4027332092 4125559704 4209754800 4231601472 4297458025 4300408000 4314998670 4405296000 4407918200 4515428400 4602665248 4628314110 4714925376 4722769500 4911380600 4936868384 5034165115 5037620800 5156949630 5160489600 5262193500 5289501840 5500746272 5509897750 5613006400 5644285500 5753331560 5893656720 5897164849 6020571200 6040998138 6045144960 6139225750 6171085480 6297026000 6450612000 6611877300 6735607680 6875932840 6903997872 7016258000 7047831161 7052669120 7191664450 7224685440 7367070900 7405302576 7525714000 7556431200 7713856850 7858208960 8054664184 8251119408 8264846625 8419509600 8463202944 8594916050 8600816000 8629997340 8815836400 9030856800 9205330496 9208838625 9256628220 9429850752 9445539000 9822761200 9873736768 10068330230 10075241600 10313899260 10524387000 10579003680 10787496675 11001492544 11019795500 11226012800 11288571000 11506663120 11570785275 11787313440 11794329698 12041142400 12081996276 12278451500 12342170960 12594052000 12892374075 12901224000 13223754600 13751865680 13807995744 14032516000 14095662322 14105338240 14383328900 14734141800 14810605152 15051428000 15102495345 15112862400 15427713700 15716417920 16109328368 16502238816 16529693250 16839019200 17189832100 17259994680 17631672800 17691494547 17979161125 18061713600 18410660992 18417677250 18513256440 18891078000 19284642125 19645522400 19747473536 20136660460 20627798520 21048774000 21143493483 21158007360 21487290125 21574993350 22002985088 22039591000 22577142000 23013326240 23141570550 23574626880 23588659396 24163992552 24556903000 24684341920 25170825575 25188104000 25784748150 25802448000 26447509200 27503731360 27615991488 28065032000 28191324644 28766657800 29468283600 29485824245 29621210304 30102856000 30204990690 30225724800 30855427400 32218656736 33004477632 33059386500 33678038400 34379664200 34519989360 35239155805 35263345600 35382989094 35958322250 36123427200 36835354500 37026512880 37782156000 38569284250 39291044800 40273320920 41255597040 41280153943 42097548000 42286986966 42316014720 42974580250 43149986700 44079182000 45154284000 46026652480 46283141100 47149253760 47177318792 48327985104 49113806000 49368683840 50341651150 50376208000 51569496300 52895018400 53937483375 55007462720 55231982976 56130064000 56382649288 57533315600 57853926375 58936567200 58971648490 59242420608 60205712000 60409981380 61710854800 64437313472 64461870375 66008955264 66118773000 68759328400 69039978720 70478311610 70526691200 70765978188 71916644500 73670709000 74053025760 75512476725 75564312000 77138568500 78582089600 80546641840 82511194080 82560307886 84195096000 84573973932 85949160500 86299973400 88158364000 88457472735 90308568000 92053304960 92566282200 94354637584 96655970208 98227612000 98737367680 100683302300 103138992600 105717467415 105790036800 107874966750 110014925440 112765298576 115066631200 115707852750 117873134400 117943296980 120819962760 123421709600 123840461829 125854127875 128874626944 128923740750 132237546000 137518656800 138079957440 140956623220 141531956376 143833289000 147341418000 147429121225 148106051520 151024953450 151128624000 154277137000 161093283680 165022388160 165120615772 168390192000 169147947864 171898321000 172599946800 176195779025 176316728000 176914945470 180617136000 185132564400 188709275168 193311940416 196455224000 201366604600 206277985200 206400769715 211434934830 211580073600 215749933500 225530597152 230133262400 231415705500 235746268800 235886593960 241639925520 246843419200 247680923658 251708255750 257847481500 264475092000 275037313600 276159914880 281913246440 283063912752 287666578000 288961077601 294682836000 294858242450 296212103040 302049906900 308554274000 322186567360 330044776320 330241231544 338295895728 343796642000 345199893600 352391558050 352633456000 353829890940 370265128800 377418550336 377562383625 386623880832 392910448000 402733209200 412555970400 412801539430 422869869660 431499867000 442287363675 451061194304 460266524800 462831411000 471773187920 483279851040 493686838400 495361847316 503416511500 515694963000 528587337075 528950184000 550074627200 563826492880 566127825504 575333156000 577922155202 589365672000 589716484900 604099813800 617108548000 619202309145 644373134720 660482463088 676591791456 687593284000 690399787200 704783116100 707659781880 737145606125 740530257600 754837100672 755124767250 805466418400 825111940800 825603078860 845739739320 862999734000 866883232803 880978895125 884574727350 902122388608 925662822000 943546375840 966559702080 990723694632 1006833023000 1031389926000 1032003848575 1057174674150 1057900368000 1127652985760 1132255651008 1150666312000 1155844310404 1178731344000 1179432969800 1208199627600 1234217096000 1238404618290 1320964926176 1353183582912 1375186568000 1380799574400 1409566232200 1415319563760 1444805388005 1474291212250 1481060515200 1510249534500 1610932836800 1650223881600 1651206157720 1691479478640 1725999468000 1733766465606 1761957790250 1769149454700 1851325644000 1887092751680 1933119404160 1981447389264 2013666046000 2062779852000 2064007697150 2114349348300 2211436818375 2255305971520 2264511302016 2301332624000 2311688620808 2358865939600 2416399255200 2468434192000 2476809236580 2641929852352 2642936685375 2706367165824 2750373136000 2819132464400 2830639127520 2889610776010 2948582424500 3020499069000 3096011545725 3221865673600 3302412315440 3382958957280 3451998936000 3467532931212 3523915580500 3538298909400 3702651288000 3774185503360 3962894778528 4027332092000 4125559704000 4128015394300 4228698696600 4334416164015 4422873636750 4510611943040 4623377241616 4717731879200 4832798510400 4953618473160 5160019242875 5283859704704 5285873370750 5638264928800 5661278255040 5779221552020 5897164849000 6040998138000 6192023091450 6604824630880 6765917914560 6903997872000 6935065862424 7047831161000 7076597818800 7224026940025 7405302576000 7925789557056 8054664184000 8251119408000 8256030788600 8457397393200 8668832328030 8845747273500 9246754483232 9435463758400 9665597020800 9907236946320 10320038485750 10571746741500 11276529857600 11322556510080 11558443104040 11794329698000 12081996276000 12384046182900 13209649261760 13531835829120 13870131724848 14095662322000 14153195637600 14448053880050 15480057728625 15851579114112 16109328368000 16512061577200 16914794786400 17337664656060 17691494547000 18493508966464 18870927516800 19814473892640 20640076971500 21143493483000 21672080820075 22553059715200 23116886208080 23588659396000 24163992552000 24768092365800 26419298523520 27740263449696 28191324644000 28306391275200 28896107760100 30960115457250 33024123154400 33829589572800 34675329312120 35382989094000 36120134700125 36987017932928 39628947785280 41280153943000 42286986966000 43344161640150 46233772416160 47177318792000 48327985104000 49536184731600 55480526899392 56382649288000 56612782550400 57792215520200 61920230914500 66048246308800 67659179145600 69350658624240 70765978188000 72240269400250 79257895570560 82560307886000 84573973932000 86688323280300 92467544832320 94354637584000 99072369463200 108360404100375 110961053798784 112765298576000 115584431040400 123840461829000 132096492617600 138701317248480 141531956376000 144480538800500 165120615772000 169147947864000 173376646560600 184935089664640 198144738926400 216720808200750 231168862080800 247680923658000 277402634496960 283063912752000 288961077601000 330241231544000 338295895728000 346753293121200 396289477852800 433441616401500 462337724161600 495361847316000 554805268993920 577922155202000 660482463088000 693506586242400 866883232803000 924675448323200 990723694632000 1155844310404000 1387013172484800 1733766465606000 1981447389264000 2311688620808000 2774026344969600 3467532931212000 4623377241616000 6935065862424000 13870131724848000
- Sum of all divisors σ(n): 54851990345202960
- Sum of proper divisors (its aliquot sum) s(n): 40981858620354960
- 13870131724848000 is an abundant number, because the sum of its proper divisors (40981858620354960) is greater than itself. Its abundance is 27111726895506960
Bases of 13870131724848000
- Binary: 1100010100011011001111101100100111001010001011100000002
- Hexadecimal: 0x3146CFB2728B80
- Base-36: 3SKJUJSSADC
Squares and roots of 13870131724848000
- 13870131724848000 squared (138701317248480002) is 192380554064634955580623104000000
- 13870131724848000 cubed (138701317248480003) is 2668343626175729153724941796810119688192000000000
-
The
square root of 13870131724848000 is 117771523.4037838197 -
The
cube root of 13870131724848000 is 240266.6695877471
Scales and comparisons
How big is 13870131724848000?- 13,870,131,724,848,000 seconds is equal to 441,027,285 years, 37 weeks, 1 day, 13 hours, 20 minutes.
-
To count from 1 to 13,870,131,724,848,000 would take you about one billion, three hundred twenty-three million, eighty-one thousand, eight hundred fifty-seven 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 13870131724848000 cubic inches would be around 20022.2 feet tall.
Recreational maths with 13870131724848000
- 13870131724848000 backwards is 00084842713107831
- The number of decimal digits it has is: 17
- The sum of 13870131724848000's digits is 57
- 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 13870131724848000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 September 2024.
APA style:
Numbermatics. (2024). Number 13870131724848000 - Facts about the integer. Retrieved 21 September 2024, from https://numbermatics.com/n/13870131724848000/
Chicago style:
Numbermatics. 2024. "Number 13870131724848000 - Facts about the integer". https://numbermatics.com/n/13870131724848000/
The information we have on file for 13870131724848000 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 13870131724848000, math, Factors of 13870131724848000, curriculum, school, college, exams, university, Prime factorization of 13870131724848000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, eight hundred seventy trillion, one hundred thirty-one billion, seven hundred twenty-four million, eight hundred forty-eight thousand.