106996873984000
106,996,873,984,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106996873984000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1536 divisors.
106996873984000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 106996873984000:
211 × 53 × 7 × 11 × 13 × 31 × 13469
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 11 × 13 × 31 × 13469)See below for interesting mathematical facts about the number 106996873984000 from the Numbermatics database.
Names of 106996873984000
- Cardinal: 106996873984000 can be written as One hundred six trillion, nine hundred ninety-six billion, eight hundred seventy-three million, nine hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.06996873984 × 1014
Factors of 106996873984000
Divisors of 106996873984000
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 31 32 35 40 44 50 52 55 56 62 64 65 70 77 80 88 91 100 104 110 112 124 125 128 130 140 143 154 155 160 175 176 182 200 208 217 220 224 248 250 256 260 275 280 286 308 310 320 325 341 350 352 364 385 400 403 416 434 440 448 455 496 500 512 520 550 560 572 616 620 640 650 682 700 704 715 728 770 775 800 806 832 868 875 880 896 910 992 1000 1001 1024 1040 1085 1100 1120 1144 1232 1240 1280 1300 1364 1375 1400 1408 1430 1456 1540 1550 1600 1612 1625 1664 1705 1736 1750 1760 1792 1820 1925 1984 2000 2002 2015 2048 2080 2170 2200 2240 2275 2288 2387 2464 2480 2560 2600 2728 2750 2800 2816 2821 2860 2912 3080 3100 3200 3224 3250 3328 3410 3472 3500 3520 3575 3584 3640 3850 3875 3968 4000 4004 4030 4160 4340 4400 4433 4480 4550 4576 4774 4928 4960 5005 5120 5200 5425 5456 5500 5600 5632 5642 5720 5824 6160 6200 6400 6448 6500 6656 6820 6944 7000 7040 7150 7168 7280 7700 7750 7936 8000 8008 8060 8320 8525 8680 8800 8866 8960 9100 9152 9548 9625 9856 9920 10010 10075 10240 10400 10850 10912 11000 11200 11264 11284 11375 11440 11648 11935 12320 12400 12800 12896 13000 13312 13469 13640 13888 14000 14080 14105 14300 14336 14560 15400 15500 15872 16000 16016 16120 16640 17050 17360 17600 17732 17875 17920 18200 18304 19096 19250 19712 19840 20020 20150 20800 21700 21824 22000 22165 22400 22528 22568 22750 22880 23296 23870 24640 24800 25025 25600 25792 26000 26624 26938 27125 27280 27776 28000 28160 28210 28600 29120 30800 31000 31031 31744 32000 32032 32240 33280 34100 34720 35200 35464 35750 35840 36400 36608 38192 38500 39424 39680 40040 40300 41600 42625 43400 43648 44000 44330 44800 45136 45500 45760 46592 47740 49280 49600 50050 50375 51200 51584 52000 53876 54250 54560 55552 56000 56320 56420 57200 58240 59675 61600 62000 62062 63488 64000 64064 64480 66560 67345 68200 69440 70400 70525 70928 71500 71680 72800 73216 76384 77000 78848 79360 80080 80600 83200 85250 86800 87296 88000 88660 89600 90272 91000 91520 93184 94283 95480 98560 99200 100100 100750 103168 104000 107752 108500 109120 110825 111104 112000 112640 112840 114400 116480 119350 123200 124000 124124 125125 128000 128128 128960 133120 134690 136400 138880 140800 141050 141856 143000 145600 146432 148159 152768 154000 155155 157696 158720 160160 161200 166400 170500 173600 174592 175097 176000 177320 179200 180544 182000 183040 186368 188566 190960 197120 198400 200200 201500 206336 208000 215504 217000 218240 221650 222208 224000 225680 228800 232960 238700 246400 248000 248248 250250 256000 256256 257920 269380 272800 277760 281600 282100 283712 286000 291200 292864 296318 298375 305536 308000 310310 317440 320320 322400 332800 336725 341000 347200 349184 350194 352000 352625 354640 358400 361088 364000 366080 377132 381920 394240 396800 400400 403000 412672 416000 417539 431008 434000 436480 443300 444416 448000 451360 457600 465920 471415 477400 492800 496000 496496 500500 512512 515840 538760 545600 554125 555520 563200 564200 567424 572000 582400 592636 596750 611072 616000 620620 640640 644800 665600 673450 682000 694400 698368 700388 704000 705250 709280 722176 728000 732160 740795 754264 763840 775775 788480 793600 800800 806000 825344 832000 835078 862016 868000 872960 875485 886600 896000 902720 915200 931840 942830 954800 985600 992000 992992 1001000 1025024 1031680 1037113 1077520 1091200 1108250 1111040 1128400 1134848 1144000 1164800 1185272 1193500 1222144 1225679 1232000 1241240 1281280 1289600 1346900 1364000 1388800 1400776 1408000 1410500 1418560 1444352 1456000 1464320 1481590 1508528 1527680 1551550 1587200 1601600 1612000 1664000 1670156 1683625 1724032 1736000 1745920 1750970 1773200 1792000 1805440 1830400 1885660 1909600 1926067 1971200 1984000 1985984 2002000 2050048 2063360 2074226 2087695 2155040 2182400 2216500 2222080 2256800 2269696 2288000 2329600 2357075 2370544 2387000 2444288 2451358 2464000 2482480 2562560 2579200 2693800 2728000 2777600 2801552 2816000 2821000 2837120 2888704 2912000 2922773 2963180 3017056 3055360 3103100 3203200 3224000 3328000 3340312 3367250 3448064 3472000 3491840 3501940 3546400 3610880 3660800 3703975 3771320 3819200 3852134 3878875 3942400 3968000 3971968 4004000 4126720 4148452 4175390 4310080 4364800 4377425 4433000 4513600 4539392 4576000 4592929 4659200 4714150 4741088 4774000 4888576 4902716 4928000 4964960 5125120 5158400 5185565 5387600 5428007 5456000 5555200 5603104 5642000 5674240 5777408 5824000 5845546 5926360 6034112 6110720 6128395 6206200 6406400 6448000 6680624 6734500 6896128 6944000 7003880 7092800 7221760 7321600 7407950 7542640 7638400 7704268 7757750 7936000 7943936 8008000 8296904 8350780 8620160 8729600 8754850 8866000 9027200 9078784 9152000 9185858 9428300 9482176 9548000 9630335 9805432 9856000 9929920 10250240 10316800 10371130 10438475 10775200 10856014 10912000 11110400 11206208 11284000 11348480 11648000 11691092 11785375 11852720 12068224 12221440 12256790 12412400 12812800 12896000 13361248 13469000 13482469 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198598400 207422600 208769500 213779968 215504000 215719504 217120280 224124160 226969600 229646450 233821840 237054400 238832308 240758375 241364480 245135800 246536576 248248000 256256000 257204024 259278250 265500928 267224960 269649380 271400350 280155200 283712000 292277300 293947456 296318000 298540385 301705600 303429632 303968392 305536000 306419750 308170720 313773824 317757440 321505030 331876160 334031200 337061725 344806400 347392448 350194000 358598656 361088000 365346625 367434320 374114944 377132000 379287040 379960490 385213400 392217280 397196800 414845200 417539000 417956539 427559936 431008000 431439008 434240560 448248320 459292900 467643680 474108800 477664616 481516750 482728960 490271600 493073152 496496000 514408048 518556500 531001856 534449920 539298760 542800700 560310400 567424000 574116125 584554600 587894912 592636000 597080770 603411200 607936784 611072000 612839500 616341440 627547648 643010060 663752320 668062400 674123450 678500875 689612800 694784896 700388000 722176000 730693250 734868640 748229888 754264000 758574080 759920980 770426800 784434560 794393600 803762575 829690400 835078000 835913078 855119872 862016000 862878016 868481120 896496640 918585800 935287360 948217600 949901225 955329232 963033500 965457920 980543200 986146304 992992000 1028816096 1037113000 1062003712 1068899840 1078597520 1085601400 1120620800 1134848000 1148232250 1169109200 1175789824 1185272000 1194161540 1206822400 1215873568 1225679000 1232682880 1255095296 1286020120 1327504640 1336124800 1348246900 1357001750 1389569792 1400776000 1461386500 1469737280 1492701925 1496459776 1508528000 1517148160 1519841960 1540853600 1568869120 1588787200 1607525150 1659380800 1670156000 1671826156 1685308625 1724032000 1725756032 1736962240 1792993280 1837171600 1870574720 1896435200 1899802450 1910658464 1926067000 1961086400 1972292608 1985984000 2057632192 2074226000 2089782695 2124007424 2137799680 2157195040 2171202800 2241241600 2296464500 2338218400 2351579648 2370544000 2388323080 2413644800 2431747136 2451358000 2465365760 2510190592 2572040240 2655009280 2672249600 2696493800 2714003500 2779139584 2801552000 2922773000 2939474560 2985403850 2992919552 3017056000 3039683920 3081707200 3137738240 3215050300 3318761600 3340312000 3343652312 3370617250 3448064000 3451512064 3473924480 3674343200 3741149440 3792870400 3799604900 3821316928 3852134000 3922172800 3944585216 3971968000 4018812875 4115264384 4148452000 4179565390 4275599360 4314390080 4342405600 4482483200 4592929000 4676436800 4703159296 4741088000 4749506125 4776646160 4827289600 4863494272 4902716000 4930731520 5144080480 5310018560 5344499200 5392987600 5428007000 5558279168 5603104000 5845546000 5878949120 5970807700 5985839104 6034112000 6079367840 6163414400 6275476480 6430100600 6637523200 6680624000 6687304624 6741234500 6903024128 6947848960 7348686400 7463509625 7482298880 7585740800 7599209800 7642633856 7704268000 7844345600 7943936000 8037625750 8230528768 8296904000 8359130780 8628780160 8684811200 8964966400 9185858000 9352873600 9406318592 9482176000 9499012250 9553292320 9726988544 9805432000 9861463040 10288160960 10448913475 10620037120 10688998400 10785975200 10856014000 11116558336 11206208000 11691092000 11757898240 11941615400 12068224000 12158735680 12326828800 12550952960 12860201200 13275046400 13361248000 13374609248 13482469000 13806048256 13895697920 14697372800 14927019250 14964597760 15198419600 15285267712 15408536000 15688691200 16075251500 16461057536 16593808000 16718261560 17257560320 17369622400 18371716000 18705747200 18964352000 18998024500 19106584640 19453977088 19610864000 19722926080 20576321920 20897826950 21377996800 21571950400 21712028000 22412416000 23382184000 23515796480 23883230800 24136448000 24317471360 24653657600 25720402400 26550092800 26722496000 26749218496 26964938000 27612096512 27791395840 29394745600 29854038500 29929195520 30396839200 30570535424 30817072000 31377382400 32150503000 32922115072 33187616000 33436523120 34515120640 34739244800 36743432000 37411494400 37928704000 37996049000 38213169280 38907954176 39221728000 41152643840 41795653900 43143900800 43424056000 44824832000 46764368000 47031592960 47766461600 48634942720 49307315200 51440804800 52244567375 53100185600 53444992000 53498436992 53929876000 55582791680 58789491200 59708077000 60793678400 61141070848 61634144000 62754764800 64301006000 65844230144 66375232000 66873046240 69030241280 69478489600 73486864000 74822988800 75992098000 76426338560 77815908352 78443456000 82305287680 83591307800 86287801600 86848112000 93528736000 95532923200 97269885440 98614630400 102881609600 104489134750 106889984000 106996873984 107859752000 117578982400 119416154000 121587356800 122282141696 123268288000 128602012000 132750464000 133746092480 138060482560 138956979200 146973728000 149645977600 151984196000 152852677120 156886912000 164610575360 167182615600 172575603200 173696224000 187057472000 191065846400 194539770880 205763219200 208978269500 213993747968 215719504000 235157964800 238832308000 243174713600 246536576000 257204024000 265500928000 267492184960 277913958400 293947456000 303968392000 305705354240 313773824000 329221150720 334365231200 345151206400 347392448000 374114944000 382131692800 389079541760 411526438400 417956539000 427987495936 431439008000 477664616000 486349427200 493073152000 514408048000 534984369920 587894912000 607936784000 611410708480 668730462400 690302412800 694784896000 748229888000 764263385600 823052876800 835913078000 855974991872 862878016000 955329232000 972698854400 1028816096000 1069968739840 1175789824000 1215873568000 1337460924800 1389569792000 1528526771200 1646105753600 1671826156000 1725756032000 1910658464000 1945397708800 2057632192000 2139937479680 2431747136000 2674921849600 3057053542400 3343652312000 3451512064000 3821316928000 4115264384000 4279874959360 4863494272000 5349843699200 6687304624000 7642633856000 8230528768000 9726988544000 10699687398400 13374609248000 15285267712000 21399374796800 26749218496000 53498436992000 106996873984000
- Sum of all divisors σ(n): 370079771443200
- Sum of proper divisors (its aliquot sum) s(n): 263082897459200
- 106996873984000 is an abundant number, because the sum of its proper divisors (263082897459200) is greater than itself. Its abundance is 156086023475200
Bases of 106996873984000
- Binary: 110000101010000001001101010101001111000000000002
- Hexadecimal: 0x615026AA7800
- Base-36: 11XDOO6XOG
Squares and roots of 106996873984000
- 106996873984000 squared (1069968739840002) is 11448331042347976032256000000
- 106996873984000 cubed (1069968739840003) is 1224935633865221759000747551227904000000000
-
The
square root of 106996873984000 is 10343929.3299983445 -
The
cube root of 106996873984000 is 47474.1316556837
Scales and comparisons
How big is 106996873984000?- 106,996,873,984,000 seconds is equal to 3,402,169 years, 32 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 106,996,873,984,000 would take you about eight million, five hundred five thousand, four hundred twenty-four 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 106996873984000 cubic inches would be around 3956.2 feet tall.
Recreational maths with 106996873984000
- 106996873984000 backwards is 000489378699601
- 106996873984000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106996873984000's digits is 70
- More coming soon!
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The information we have on file for 106996873984000 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 106996873984000, math, Factors of 106996873984000, curriculum, school, college, exams, university, Prime factorization of 106996873984000, STEM, science, technology, engineering, physics, economics, calculator, one hundred six trillion, nine hundred ninety-six billion, eight hundred seventy-three million, nine hundred eighty-four thousand.