13682169696000
13,682,169,696,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13682169696000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1728 divisors.
13682169696000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 13682169696000:
28 × 3 × 53 × 132 × 41 × 67 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 41 × 67 × 307)See below for interesting mathematical facts about the number 13682169696000 from the Numbermatics database.
Names of 13682169696000
- Cardinal: 13682169696000 can be written as Thirteen trillion, six hundred eighty-two billion, one hundred sixty-nine million, six hundred ninety-six thousand.
Scientific notation
- Scientific notation: 1.3682169696 × 1013
Factors of 13682169696000
Divisors of 13682169696000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 41 48 50 52 60 64 65 67 75 78 80 82 96 100 104 120 123 125 128 130 134 150 156 160 164 169 192 195 200 201 205 208 240 246 250 256 260 268 300 307 312 320 325 328 335 338 375 384 390 400 402 410 416 480 492 500 507 520 533 536 600 614 615 624 640 650 656 670 676 750 768 780 800 804 820 832 845 871 921 960 975 984 1000 1005 1014 1025 1040 1066 1072 1200 1228 1230 1248 1280 1300 1312 1340 1352 1500 1535 1560 1599 1600 1608 1625 1640 1664 1675 1690 1742 1842 1920 1950 1968 2000 2010 2028 2050 2080 2132 2144 2400 2456 2460 2496 2535 2600 2613 2624 2665 2680 2704 2747 3000 3070 3075 3120 3198 3200 3216 3250 3280 3328 3350 3380 3484 3684 3840 3900 3936 3991 4000 4020 4056 4100 4160 4225 4264 4288 4355 4605 4800 4875 4912 4920 4992 5025 5070 5125 5200 5226 5248 5330 5360 5408 5494 6000 6140 6150 6240 6396 6400 6432 6500 6560 6700 6760 6929 6968 7368 7675 7800 7872 7982 7995 8000 8040 8112 8200 8241 8320 8375 8450 8528 8576 8710 9210 9600 9750 9824 9840 9984 10050 10140 10250 10400 10452 10496 10660 10720 10816 10988 11323 11973 12000 12280 12300 12480 12587 12675 12792 12864 13000 13065 13120 13325 13400 13520 13735 13858 13936 14736 15350 15375 15600 15744 15964 15990 16000 16080 16224 16400 16482 16640 16750 16900 17056 17152 17420 18420 19200 19500 19648 19680 19955 20100 20280 20500 20569 20787 20800 20904 21125 21320 21440 21632 21775 21976 22646 23025 23946 24000 24560 24600 24960 25125 25174 25350 25584 25728 26000 26130 26240 26650 26800 27040 27470 27716 27872 29472 30700 30750 31200 31488 31928 31980 32000 32160 32448 32800 32964 33500 33800 33969 34112 34645 34840 35711 36840 37761 38375 39000 39296 39360 39910 39975 40200 40560 41000 41138 41205 41574 41600 41808 42250 42640 42880 43264 43550 43952 45292 46050 47892 48000 49120 49200 49920 50250 50348 50700 51168 51456 51883 52000 52260 52480 53300 53600 54080 54940 55432 55744 56615 58944 59865 61400 61500 61707 62400 62935 63375 63856 63960 64320 64896 65325 65600 65928 66625 67000 67600 67938 68224 68675 69290 69680 71422 73680 75522 76750 78000 78592 78720 79820 79950 80400 81120 82000 82276 82410 83148 83200 83616 84500 85280 85760 87100 87904 90584 92100 95784 96000 98240 98400 99775 100500 100696 101400 102336 102845 103766 103935 104000 104520 106600 107133 107200 108160 108875 109880 110864 111488 113230 115125 117888 119730 122800 123000 123414 124800 125870 126750 127712 127920 128640 129792 130650 131200 131856 133250 134000 135200 135876 136448 137350 138580 139360 142844 147360 151044 153500 155649 156000 157440 159640 159900 160800 162240 163631 164000 164552 164820 166296 167232 169000 169845 170560 173225 174200 175808 178555 181168 184200 188805 191568 196480 196800 199550 199875 201000 201392 202800 204672 205690 206025 207532 207870 208000 209040 213200 214266 214400 216320 217750 219760 221728 222976 226460 230250 235776 239460 245600 246000 246828 249600 251740 253500 255424 255840 257280 259415 261300 262400 263712 266500 267397 268000 270400 271752 274700 277160 278720 283075 285688 294720 299325 302088 307000 308535 311298 312000 314675 319280 319800 321600 324480 326625 327262 328000 329104 329640 332592 334464 338000 339690 341120 343375 346450 348400 351616 357110 362336 368400 377610 383136 392960 393600 399100 399750 402000 402784 405600 409344 411380 412050 415064 415740 416000 418080 426400 428532 428800 435500 439520 443456 452920 460500 464243 478920 490893 491200 492000 493656 498875 503480 507000 510848 511680 514225 518830 519675 522600 527424 533000 534794 535665 536000 540800 543504 549400 554320 557440 566150 571376 589440 598650 604176 614000 617070 622596 624000 629350 638560 639600 643200 648960 653250 654524 656000 658208 659280 665184 668928 676000 679380 682240 686750 692900 696800 703232 714220 724672 736800 755220 766272 778245 787200 798200 799500 802191 804000 805568 811200 818155 822760 824100 830128 831480 836160 843329 849225 852800 857064 866125 871000 879040 886912 892775 905840 921000 928486 944025 957840 981786 982400 984000 987312 997750 1006960 1014000 1021696 1023360 1028450 1030125 1037660 1039350 1045200 1054848 1066000 1069588 1071330 1072000 1081600 1087008 1098800 1108640 1114880 1132300 1142752 1178880 1197300 1208352 1228000 1234140 1245192 1248000 1258700 1277120 1279200 1286400 1297075 1306500 1309048 1312000 1316416 1318560 1330368 1336985 1352000 1358760 1373500 1385800 1392729 1393600 1415375 1428440 1449344 1473600 1496625 1510440 1532544 1542675 1556490 1573375 1596400 1599000 1604382 1608000 1611136 1622400 1636310 1645520 1648200 1660256 1662960 1672320 1686658 1698450 1705600 1714128 1732250 1742000 1758080 1773824 1785550 1811680 1842000 1856972 1888050 1915680 1963572 1964800 1968000 1974624 1995500 2013920 2028000 2046720 2056900 2060250 2075320 2078700 2090400 2109696 2127203 2132000 2139176 2142660 2144000 2174016 2197600 2217280 2264600 2285504 2321215 2394600 2416704 2454465 2456000 2468280 2490384 2517400 2529987 2554240 2558400 2571125 2594150 2598375 2613000 2618096 2632832 2637120 2660736 2673970 2678325 2704000 2717520 2747000 2771600 2785458 2787200 2830750 2856880 2898688 2947200 2993250 3020880 3065088 3085350 3112980 3146750 3192800 3198000 3208764 3216000 3222272 3244800 3272620 3291040 3296400 3320512 3325920 3344640 3373316 3396900 3411200 3428256 3464500 3476161 3484000 3516160 3571100 3623360 3684000 3713944 3776100 3831360 3891225 3927144 3936000 3949248 3991000 4010955 4027840 4056000 4090775 4113800 4120500 4150640 4157400 4180800 4216645 4246125 4254406 4264000 4278352 4285320 4348032 4395200 4434560 4463875 4529200 4571008 4642430 4720125 4789200 4833408 4908930 4912000 4936560 4980768 5034800 5059974 5108480 5116800 5142250 5188300 5196750 5226000 5236192 5265664 5274240 5321472 5347940 5356650 5408000 5435040 5494000 5543200 5570916 5574400 5661500 5713760 5894400 5986500 6041760 6170700 6225960 6293500 6381609 6385600 6396000 6417528 6432000 6485375 6545240 6582080 6592800 6641024 6651840 6684925 6746632 6793800 6856512 6929000 6952322 6963645 6968000 7142200 7246720 7368000 7427888 7552200 7662720 7713375 7782450 7854288 7898496 7982000 8021910 8055680 8112000 8181550 8227600 8241000 8301280 8314800 8361600 8433290 8492250 8508812 8528000 8556704 8570640 8696064 8790400 8869120 8927750 9058400 9142016 9284860 9440250 9578400 9666816 9817860 9824000 9873120 9961536 10069600 10119948 10233600 10284500 10376600 10393500 10428483 10452000 10472384 10548480 10636015 10695880 10713300 10870080 10963277 10988000 11086400 11141832 11323000 11427520 11606075 11973000 12083520 12272325 12341400 12451920 12587000 12649935 12763218 12771200 12792000 12835056 12970750 13090480 13164160 13185600 13282048 13303680 13369850 13391625 13493264 13587600 13713024 13858000 13904644 13927290 13936000 14284400 14493440 14736000 14855776 15104400 15325440 15426750 15564900 15708576 15796992 15964000 16043820 16111360 16224000 16363100 16455200 16482000 16602560 16629600 16723200 16866580 16984500 17017624 17056000 17113408 17141280 17380805 17580800 17855500 18116800 18569720 18880500 19156800 19456125 19635720 19746240 19923072 20054775 20139200 20239896 20453875 20569000 20753200 20787000 20856966 20904000 20944768 21083225 21272030 21391760 21426600 21740160 21926554 21976000 22172800 22283664 22646000 22855040 23212150 23946000 24167040 24544650 24682800 24903840 25174000 25299870 25526436 25542400 25584000 25670112 25941500 26180960 26328320 26371200 26607360 26739700 26783250 26986528 27175200 27426048 27716000 27809288 27854580 27872000 28568800 29472000 29711552 30208800 30853500 31129800 31417152 31908045 31928000 32087640 32726200 32889831 32910400 32964000 33205120 33259200 33424625 33733160 33969000 34035248 34226816 34282560 34761610 34818225 35711000 36233600 37139440 37761000 38313600 38912250 39271440 39492480 39846144 40109550 40278400 40479792 40907750 41138000 41506400 41574000 41713932 41808000 41889536 42166450 42544060 42783520 42853200 43480320 43853108 43952000 44345600 44567328 45292000 45710080 46424300 47892000 48334080 49089300 49365600 49807680 50348000 50599740 51052872 51168000 51340224 51883000 52142415 52361920 52742400 53180075 53479400 53566500 53973056 54350400 54816385 55432000 55618576 55709160 57137600 58030375 59423104 60417600 61361625 61707000 62259600 62834304 63249675 63816090 63856000 64175280 65452400 65779662 65820800 65928000 66410240 66518400 66849250 67466320 67938000 68070496 68453632 68565120 69523220 69636450 71422000 72467200 74278880 75522000 76627200 77824500 78542880 78984960 80219100 80556800 80959584 81815500 82276000 83012800 83148000 83427864 83616000 84332900 85088120 85567040 85706400 86904025 87706216 87904000 89134656 90584000 92848600 95784000 98178600 98731200 99615360 100273875 100696000 101199480 102105744 102680448 103766000 104284830 104723840 105416125 106360150 106958800 107133000 107946112 108700800 109632770 110864000 111237152 111418320 114275200 116060750 118846208 120835200 122723250 123414000 124519200 125668608 126499350 127632180 127712000 128350560 130904800 131559324 131641600 131856000 133036800 133698500 134932640 135876000 136140992 137130240 139046440 139272900 142522601 142844000 148557760 151044000 155649000 157085760 159540225 160438200 161919168 163631000 164449155 164552000 166025600 166296000 166855728 168665800 170176240 171134080 171412800 173808050 174091125 175412432 178269312 181168000 185697200 191568000 196357200 197462400 199230720 200547750 201392000 202398960 204211488 205360896 207532000 208569660 209447680 210832250 212720300 213917600 214266000 215892224 217401600 219265540 221728000 222474304 222836640 228550400 232121500 241670400 245446500 246828000 249038400 252998700 255264360 256701120 260712075 261809600 263118648 263712000 265900375 267397000 269865280 271752000 272281984 274081925 278092880 278545800 285045202 285688000 297115520 302088000 311298000 314171520 316248375 319080450 320876400 323838336 327262000 328898310 329104000 332051200 332592000 333711456 337331600 340352480 342268160 342825600 347616100 348182250 350824864 356538624 362336000 371394400 383136000 392714400 394924800 401095500 402784000 404797920 408422976 415064000 417139320 421664500 425440600 427567803 427835200 428532000 434520125 438531080 444948608 445673280 464243000 490893000 493656000 498076800 505997400 510528720 513402240 521424150 523619200 526237296 531800750 534794000 539730560 543504000 544563968 548163850 556185760 557091600 570090404 571376000 594231040 604176000 622596000 628343040 632496750 638160900 641752800 647676672 654524000 657796620 658208000 665184000 667422912 674663200 680704960 685651200 695232200 696364500 701649728 712613005 742788800 785428800 797701125 802191000 809595840 816845952 822245775 830128000 834278640 843329000 850881200 855135606 855670400 857064000 869040250 877062160 889897216 891346560 928486000 981786000 987312000 996153600 1011994800 1021057440 1026804480 1042848300 1047238400 1052474592 1063601500 1069588000 1079461120 1087008000 1096327700 1112371520 1114183200 1140180808 1142752000 1208352000 1245192000 1264993500 1276321800 1283505600 1303560375 1309048000 1315593240 1334845824 1349326400 1361409920 1370409625 1390464400 1392729000 1403299456 1425226010 1485577600 1570857600 1595402250 1604382000 1619191680 1633691904 1644491550 1660256000 1668557280 1686658000 1701762400 1710271212 1711340800 1714128000 1738080500 1754124320 1782693120 1856972000 1963572000 1974624000 2023989600 2042114880 2085696600 2104949184 2127203000 2137839015 2139176000 2192655400 2224743040 2228366400 2280361616 2490384000 2529987000 2552643600 2567011200 2607120750 2618096000 2631186480 2669691648 2698652800 2722819840 2740819250 2780928800 2785458000 2806598912 2850452020 2971155200 3141715200 3190804500 3208764000 3238383360 3288983100 3337114560 3373316000 3403524800 3420542424 3428256000 3476161000 3508248640 3563065025 3713944000 3927144000 4047979200 4084229760 4111228875 4171393200 4209898368 4254406000 4275678030 4278352000 4385310800 4449486080 4456732800 4560723232 4980768000 5059974000 5105287200 5134022400 5214241500 5236192000 5262372960 5397305600 5481638500 5561857600 5570916000 5700904040 6381609000 6417528000 6577966200 6674229120 6746632000 6807049600 6841084848 6952322000 7016497280 7126130050 7427888000 7854288000 8095958400 8168459520 8222457750 8342786400 8419796736 8508812000 8551356060 8556704000 8770621600 8913465600 9121446464 10119948000 10210574400 10428483000 10524745920 10689195075 10963277000 11123715200 11141832000 11401808080 12763218000 12835056000 13155932400 13348458240 13493264000 13614099200 13682169696 13904644000 14032994560 14252260100 14855776000 15708576000 16191916800 16444915500 16685572800 17017624000 17102712120 17541243200 17815325125 18242892928 20239896000 20421148800 20856966000 21049491840 21378390150 21926554000 22247430400 22283664000 22803616160 25526436000 25670112000 26311864800 26986528000 27364339392 27809288000 28504520200 32889831000 33371145600 34035248000 34205424240 35082486400 35630650250 36485785856 40479792000 40842297600 41713932000 42098983680 42756780300 43853108000 44567328000 45607232320 51052872000 52623729600 53445975375 54728678784 55618576000 57009040400 65779662000 66742291200 68070496000 68410848480 70164972800 71261300500 80959584000 83427864000 85513560600 87706216000 91214464640 102105744000 105247459200 106891950750 109457357568 111237152000 114018080800 131559324000 136821696960 142522601000 166855728000 171027121200 175412432000 182428929280 204211488000 210494918400 213783901500 228036161600 263118648000 273643393920 285045202000 333711456000 342054242400 350824864000 427567803000 456072323200 526237296000 547286787840 570090404000 684108484800 855135606000 912144646400 1052474592000 1140180808000 1368216969600 1710271212000 2280361616000 2736433939200 3420542424000 4560723232000 6841084848000 13682169696000
- Sum of all divisors σ(n): 51329318616576
- Sum of proper divisors (its aliquot sum) s(n): 37647148920576
- 13682169696000 is an abundant number, because the sum of its proper divisors (37647148920576) is greater than itself. Its abundance is 23964979224576
Bases of 13682169696000
- Binary: 110001110001101000001101110101001111000000002
- Hexadecimal: 0xC71A0DD4F00
- Base-36: 4ULI2KNPC
Squares and roots of 13682169696000
- 13682169696000 squared (136821696960002) is 187201767590140732416000000
- 13682169696000 cubed (136821696960003) is 2561326351559458477437440065536000000000
-
The
square root of 13682169696000 is 3698941.6994594549 -
The
cube root of 13682169696000 is 23917.6399687971
Scales and comparisons
How big is 13682169696000?- 13,682,169,696,000 seconds is equal to 435,050 years, 35 weeks, 13 hours, 20 minutes.
-
To count from 1 to 13,682,169,696,000 would take you about one million, eighty-seven thousand, six hundred twenty-six 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 13682169696000 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13682169696000
- 13682169696000 backwards is 00069696128631
- The number of decimal digits it has is: 14
- The sum of 13682169696000's digits is 57
- More coming soon!
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"Number 13682169696000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
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Numbermatics. (2024). Number 13682169696000 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/13682169696000/
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The information we have on file for 13682169696000 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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