13960501968000
13,960,501,968,000 is an even composite number composed of eight prime numbers multiplied together.
What does the number 13960501968000 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2048 divisors.
13960501968000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 13960501968000:
27 × 3 × 53 × 7 × 37 × 41 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 37 × 41 × 61 × 449)See below for interesting mathematical facts about the number 13960501968000 from the Numbermatics database.
Names of 13960501968000
- Cardinal: 13960501968000 can be written as Thirteen trillion, nine hundred sixty billion, five hundred one million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.3960501968 × 1013
Factors of 13960501968000
Divisors of 13960501968000
- Number of divisors d(n): 2048
-
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 37 40 41 42 48 50 56 60 61 64 70 74 75 80 82 84 96 100 105 111 112 120 122 123 125 128 140 148 150 160 164 168 175 183 185 192 200 205 210 222 224 240 244 246 250 259 280 287 296 300 305 320 328 336 350 366 370 375 384 400 410 420 427 444 448 449 480 488 492 500 518 525 555 560 574 592 600 610 615 640 656 672 700 732 740 750 777 800 820 840 854 861 875 888 896 898 915 925 960 976 984 1000 1025 1036 1050 1110 1120 1148 1184 1200 1220 1230 1281 1295 1312 1344 1347 1400 1435 1464 1480 1500 1517 1525 1554 1600 1640 1680 1708 1722 1750 1776 1796 1830 1850 1920 1952 1968 2000 2050 2072 2100 2135 2220 2240 2245 2257 2296 2368 2400 2440 2460 2501 2562 2590 2624 2625 2688 2694 2775 2800 2870 2928 2960 3000 3034 3050 3075 3108 3143 3200 3280 3360 3416 3444 3500 3552 3592 3660 3700 3885 3904 3936 4000 4100 4144 4200 4270 4305 4440 4480 4490 4514 4551 4575 4592 4625 4736 4800 4880 4920 5002 5124 5125 5180 5248 5250 5388 5550 5600 5740 5856 5920 6000 6068 6100 6150 6216 6286 6405 6475 6560 6720 6735 6771 6832 6888 7000 7104 7175 7184 7320 7400 7503 7585 7625 7770 7808 7872 8000 8200 8288 8400 8540 8610 8880 8980 9028 9102 9150 9184 9250 9429 9600 9760 9840 10004 10248 10250 10360 10500 10619 10675 10776 11100 11200 11225 11285 11480 11712 11840 12000 12136 12200 12300 12432 12505 12572 12810 12950 13120 13440 13470 13542 13664 13776 13875 14000 14208 14350 14368 14640 14800 15006 15170 15250 15375 15540 15715 15744 15799 16000 16400 16576 16613 16800 17080 17220 17507 17760 17960 18056 18204 18300 18368 18409 18500 18858 19425 19520 19680 20008 20496 20500 20720 21000 21238 21350 21525 21552 22200 22400 22450 22570 22755 22875 22960 23424 23680 24000 24272 24400 24600 24864 25010 25144 25620 25900 26240 26940 27084 27328 27389 27552 27750 28000 28700 28736 29280 29600 30012 30340 30500 30750 31080 31430 31598 31857 32025 32375 32800 33152 33226 33600 33675 33855 34160 34440 35014 35520 35875 35920 36112 36408 36600 36736 36818 37000 37515 37716 37925 38850 39040 39360 40016 40992 41000 41440 42000 42476 42700 43050 43104 44400 44900 45140 45510 45750 45920 47145 47397 48000 48544 48800 49200 49728 49839 50020 50288 51240 51800 52521 53095 53375 53880 54168 54656 54778 55104 55227 55500 56000 56125 56425 57400 57472 58560 59200 60024 60680 61000 61500 62160 62525 62860 63196 63714 64050 64750 65600 66452 67200 67350 67710 68320 68880 70028 71040 71750 71840 72224 72816 73200 73636 74000 75030 75432 75850 77700 78575 78720 78995 80032 81984 82000 82167 82880 83065 84000 84952 85400 86100 86208 87535 88800 89800 90280 91020 91500 91840 92045 92537 94290 94794 97088 97125 97600 98400 99456 99678 100040 100576 102480 103600 105042 106190 106750 107625 107760 108336 109556 110208 110454 111000 112000 112250 112850 113775 114800 116291 117120 118400 120048 121360 122000 123000 124320 125050 125720 126392 127428 128100 128863 129500 131200 132904 134700 135420 136640 136945 137760 140056 143500 143680 144448 145632 146400 147272 148000 150060 150864 151700 155400 157150 157990 159285 160064 160125 163968 164000 164334 165760 166130 168000 168375 169275 169904 170800 172200 172416 175070 177600 179600 180560 182040 183000 183680 184090 185074 187575 188580 189588 189625 191723 194176 194250 195200 196800 199356 200080 201152 204960 207200 210084 212380 213500 215250 215520 216672 219112 220908 222000 224500 225700 227550 229600 232582 235725 236985 240096 242720 244000 246000 248640 249195 250100 251440 252784 254856 256200 257726 259000 262605 265475 265808 269400 270840 273280 273890 275520 276135 277611 280112 282125 287000 287360 288896 291264 292800 294544 296000 300120 301728 303400 310800 312625 314300 315980 318570 320128 320250 328000 328668 332260 336000 336750 338550 339808 341600 344400 348873 350140 355200 359200 361120 364080 366000 368180 370148 375150 377160 379176 379250 383446 386589 388500 392875 393600 394975 398712 400160 402304 409920 410835 414400 415325 420168 424760 427000 430500 431040 433344 437675 438224 441816 444000 449000 451400 455100 459200 460225 462685 465164 471450 473970 480192 485440 488000 492000 497280 498390 500200 502880 505568 509712 512400 515452 518000 525210 530950 531616 538800 541680 547780 551040 552270 555222 560224 564250 568875 574000 575169 581455 582528 585600 589088 592000 600240 603456 606800 621600 625250 628600 631960 637140 640500 644315 647759 656000 657336 664520 673500 677100 679616 681133 683200 684725 688800 697746 700280 718400 722240 728160 732000 736360 740296 750300 754320 758352 758500 766892 773178 777000 785750 789950 796425 797424 800320 819840 821670 828800 830650 840336 846375 849520 854000 861000 862080 866688 875350 876448 883632 888000 898000 902800 910200 918400 920450 925370 930328 937875 942900 947940 958615 960384 970880 976000 984000 996780 1000400 1005760 1011136 1013393 1019424 1024800 1030904 1036000 1050420 1061900 1063232 1077600 1083360 1095560 1104540 1110444 1120448 1122949 1128500 1137750 1148000 1150338 1162910 1178176 1178625 1184925 1200480 1206912 1213600 1243200 1245975 1250500 1257200 1263920 1274280 1281000 1288630 1295518 1313025 1314672 1327375 1329040 1347000 1354200 1359232 1362266 1366400 1369450 1377600 1380675 1388055 1395492 1400560 1436800 1444480 1456320 1464000 1472720 1480592 1500600 1508640 1516704 1517000 1533784 1546356 1554000 1571500 1579900 1592850 1594848 1600640 1643340 1661300 1680672 1692750 1699040 1708000 1722000 1744365 1750700 1752896 1767264 1776000 1796000 1805600 1820400 1840900 1850740 1860656 1875750 1885800 1895880 1917230 1932945 1943277 1968000 1974875 1993560 2000800 2011520 2022272 2026786 2038848 2043399 2049600 2054175 2061808 2072000 2076625 2100840 2123800 2126464 2155200 2166720 2188375 2191120 2209080 2220888 2240896 2245898 2257000 2275500 2296000 2300676 2301125 2313425 2325820 2356352 2357250 2369850 2400960 2427200 2486400 2491950 2501000 2514400 2527840 2548560 2562000 2577260 2591036 2626050 2629344 2654750 2658080 2694000 2708400 2724532 2738900 2755200 2761350 2776110 2790984 2801120 2875845 2907275 2912640 2928000 2945440 2961184 3001200 3017280 3033408 3034000 3040179 3067568 3092712 3108000 3143000 3159800 3185700 3189696 3221575 3238795 3286680 3322600 3361344 3368847 3385500 3398080 3405665 3416000 3423625 3444000 3488730 3501400 3505792 3534528 3592000 3611200 3640800 3681800 3701480 3721312 3751500 3771600 3791760 3834460 3865890 3886554 3949750 3982125 3987120 4001600 4053572 4077696 4086798 4099200 4108350 4123616 4144000 4153250 4201680 4247600 4310400 4333440 4376750 4382240 4418160 4441776 4491796 4514000 4551000 4592000 4601352 4602250 4626850 4651640 4714500 4739700 4767931 4793075 4801920 4854400 4983900 5002000 5028800 5055680 5066965 5097120 5124000 5154520 5182072 5252100 5258688 5309500 5316160 5388000 5416800 5449064 5477800 5522700 5552220 5581968 5602240 5614745 5751690 5814550 5890880 5922368 5924625 6002400 6034560 6066816 6068000 6080358 6135136 6185424 6216000 6229875 6286000 6319600 6371400 6379392 6443150 6477590 6565125 6573360 6645200 6722688 6737694 6771000 6796160 6811330 6832000 6847250 6888000 6903375 6940275 6977460 7002800 7069056 7093751 7184000 7222400 7281600 7363600 7402960 7442624 7503000 7543200 7583520 7668920 7731780 7773108 7860643 7899500 7964250 7974240 8003200 8107144 8173596 8216700 8247232 8306500 8403360 8495200 8721825 8753500 8764480 8836320 8883552 8983592 9028000 9102000 9202704 9204500 9253700 9303280 9429000 9479400 9535862 9586150 9664725 9716385 9967800 10004000 10057600 10111360 10133930 10194240 10216995 10248000 10270875 10309040 10364144 10504200 10517376 10619000 10632320 10776000 10833600 10898128 10955600 11045400 11104440 11163936 11204480 11229490 11503380 11567125 11629100 11781760 11844736 11849250 12004800 12136000 12160716 12270272 12370848 12432000 12459750 12572000 12639200 12742800 12886300 12955180 13130250 13146720 13290400 13475388 13542000 13622660 13694500 13776000 13806750 13880550 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30675680 30927120 31092432 31442572 31598000 31857000 31896960 32215750 32387950 32428576 32694384 32866800 33226000 33613440 33688470 33980800 34056650 34701375 34887300 35014000 35345280 35468755 35534208 35934368 36112000 36408000 36810816 36818000 37014800 37213120 37716000 37917600 38143448 38344600 38658900 38865540 39303215 39871200 40016000 40535720 40867980 41083500 41236160 41456576 41549113 42016800 42476000 42562506 43592512 43609125 43822400 44181600 44417760 44655744 44917960 46013520 46268500 46516400 47163858 47397000 47679310 47930750 48323625 48581925 48642864 49483392 49839000 50288000 50556800 50669650 50971200 51084975 51545200 51820720 52521000 52586880 53161600 53901552 54168000 54490640 54778000 55227000 55522200 55819680 56022400 56147450 56750008 57215172 57516900 58145500 58908800 59223680 60024000 60803580 61351360 61854240 62184864 62885144 63196000 63714000 64431500 64775900 64857152 65388768 65733600 66452000 67376940 68113300 69402750 69774600 70028000 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159484800 161939750 162142880 163471920 164334000 166196452 168067200 168442350 169904000 170250024 170283250 174436500 176726400 177343775 177671040 179671840 184054080 185074000 186065600 188655432 189588000 190717240 191723000 193294500 194327700 194571456 196516075 199356000 202678600 204339900 206180800 207282880 207745565 210084000 212812530 215606208 217962560 219112000 220908000 222088800 223278720 224589800 227000032 228860688 230067600 232582000 235819290 238396550 242909625 243214320 247416960 248739456 249294678 251540576 252784000 253348250 254856000 255424875 257726000 259103600 261555072 262934400 265808000 269507760 272453200 277611000 279098400 280112000 280737250 283750040 286075860 287584500 290843791 294544000 296118400 304017900 305147584 306756800 309271200 310924320 314425720 323879500 324285760 326943840 328668000 332392904 336884700 340500048 340566500 348873000 354687550 357594825 359343680 368108160 370148000 372131200 377310864 379176000 380022375 381434480 383446000 386589000 388655400 389142912 393032150 398712000 405357200 408679800 412361600 414565760 415491130 420168000 421105875 425625060 431212416 435925120 438224000 441816000 444177600 449179600 454000064 457721376 460135200 465164000 471638580 476793100 485819250 486428640 498589356 503081152 506696500 509712000 510849750 515452000 518207200 532031325 539015520 544906400 555222000 558196800 561474500 567500080 572151720 575169000 581687582 589548225 595991375 608035800 610295168 613513600 618542400 621848640 623236695 628851440 647759000 648571520 653887680 657336000 664785808 673769400 681000096 681133000 697746000 709375100 715189650 718687360 740296000 754621728 758352000 760044750 762868960 766892000 773178000 777310800 786064300 797424000 810714400 817359600 830982260 840336000 842211750 851250120 872531373 883632000 886718875 888355200 898359200 908000128 915442752 920270400 930328000 943277160 953586200 971638500 972857280 982580375 997178712 1006162304 1013393000 1021699500 1030904000 1036414400 1038727825 1064062650 1078031040 1089812800 1110444000 1116393600 1122949000 1135000160 1144303440 1150338000 1163375164 1179096450 1191982750 1216071600 1237084800 1243697280 1246473390 1257702880 1295518000 1307775360 1314672000 1329571616 1347538800 1362000192 1362266000 1395492000 1418750200 1430379300 1454218955 1480592000 1509243456 1520089500 1525737920 1533784000 1546356000 1554621600 1572128600 1621428800 1634719200 1661964520 1684423500 1702500240 1745062746 1773437750 1787974125 1796718400 1830885504 1840540800 1860656000 1886554320 1907172400 1943277000 1945714560 1965160750 1994357424 2026786000 2043399000 2061808000 2072828800 2077455650 2128125300 2156062080 2179625600 2220888000 2245898000 2270000320 2288606880 2300676000 2326750328 2358192900 2383965500 2432143200 2492946780 2515405760 2591036000 2659143232 2660156625 2695077600 2724000384 2724532000 2790984000 2837500400 2860758600 2908437910 2947741125 3018486912 3040179000 3051475840 3067568000 3092712000 3109243200 3116183475 3144257200 3242857600 3269438400 3323929040 3368847000 3405000480 3490125492 3546875500 3575948250 3593436800 3773108640 3814344800 3886554000 3930321500 3988714848 4053572000 4086798000 4154911300 4256250600 4362656865 4441776000 4491796000 4540000640 4577213760 4601352000 4653500656 4716385800 4767931000 4864286400 4985893560 5030811520 5182072000 5193639125 5318286464 5320313250 5390155200 5449064000 5581968000 5675000800 5721517200 5816875820 5895482250 6080358000 6185424000 6218486400 6232366950 6288514400 6538876800 6647858080 6737694000 6810000960 6980250984 7093751000 7151896500 7271094775 7546217280 7628689600 7773108000 7860643000 7977429696 8107144000 8173596000 8309822600 8512501200 8725313730 8983592000 9154427520 9202704000 9307001312 9432771600 9535862000 9728572800 9971787120 10364144000 10387278250 10640626500 10780310400 10898128000 11350001600 11443034400 11633751640 11790964500 12160716000 12464733900 12577028800 13295716160 13475388000 13620001920 13960501968 14187502000 14303793000 14542189550 15092434560 15257379200 15546216000 15580917375 15721286000 15954859392 16214288000 16347192000 16619645200 17025002400 17450627460 17967184000 18614002624 18865543200 19071724000 19943574240 20774556500 21281253000 21813284325 22700003200 22886068800 23267503280 23581929000 24321432000 24929467800 25154057600 26591432320 26950776000 27921003936 28375004000 28607586000 29084379100 31092432000 31161834750 31442572000 32694384000 33239290400 34050004800 34901254920 36355473875 37228005248 37731086400 38143448000 39887148480 41549113000 42562506000 43626568650 45772137600 46535006560 47163858000 48642864000 49858935600 53901552000 55842007872 56750008000 57215172000 58168758200 62323669500 62885144000 66478580800 68100009600 69802509840 72710947750 75462172800 76286896000 79774296960 83098226000 85125012000 87253137300 93070013120 94327716000 99717871200 109066421625 111684015744 113500016000 114430344000 116337516400 124647339000 125770288000 132957161600 139605019680 145421895500 166196452000 170250024000 174506274600 186140026240 188655432000 199435742400 218132843250 228860688000 232675032800 249294678000 279210039360 290843791000 332392904000 340500048000 349012549200 377310864000 398871484800 436265686500 465350065600 498589356000 558420078720 581687582000 664785808000 698025098400 872531373000 930700131200 997178712000 1163375164000 1396050196800 1745062746000 1994357424000 2326750328000 2792100393600 3490125492000 4653500656000 6980250984000 13960501968000
- Sum of all divisors σ(n): 56682872064000
- Sum of proper divisors (its aliquot sum) s(n): 42722370096000
- 13960501968000 is an abundant number, because the sum of its proper divisors (42722370096000) is greater than itself. Its abundance is 28761868128000
Bases of 13960501968000
- Binary: 110010110010011011101100001010111100100000002
- Hexadecimal: 0xCB26EC2BC80
- Base-36: 4Y5D6F79C
Squares and roots of 13960501968000
- 13960501968000 squared (139605019680002) is 194895615198531873024000000
- 13960501968000 cubed (139605019680003) is 2720840619533674924062278111232000000000
-
The
square root of 13960501968000 is 3736375.5121775435 -
The
cube root of 13960501968000 is 24078.7356079775
Scales and comparisons
How big is 13960501968000?- 13,960,501,968,000 seconds is equal to 443,900 years, 40 weeks, 3 days, 21 hours, 20 minutes.
-
To count from 1 to 13,960,501,968,000 would take you about one million, one hundred nine thousand, seven 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 13960501968000 cubic inches would be around 2006.6 feet tall.
Recreational maths with 13960501968000
- 13960501968000 backwards is 00086910506931
- 13960501968000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13960501968000's digits is 48
- More coming soon!
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MLA style:
"Number 13960501968000 - Facts about the integer". Numbermatics.com. 2024. Web. 15 May 2024.
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Numbermatics. (2024). Number 13960501968000 - Facts about the integer. Retrieved 15 May 2024, from https://numbermatics.com/n/13960501968000/
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The information we have on file for 13960501968000 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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