12946492416000
12,946,492,416,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 12946492416000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1344 divisors.
12946492416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, three hundred forty-four divisors.
Prime factorization of 12946492416000:
213 × 3 × 53 × 11 × 132 × 2267
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 2267)See below for interesting mathematical facts about the number 12946492416000 from the Numbermatics database.
Names of 12946492416000
- Cardinal: 12946492416000 can be written as Twelve trillion, nine hundred forty-six billion, four hundred ninety-two million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.2946492416 × 1013
Factors of 12946492416000
Divisors of 12946492416000
- Number of divisors d(n): 1344
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 25 26 30 32 33 39 40 44 48 50 52 55 60 64 65 66 75 78 80 88 96 100 104 110 120 125 128 130 132 143 150 156 160 165 169 176 192 195 200 208 220 240 250 256 260 264 275 286 300 312 320 325 330 338 352 375 384 390 400 416 429 440 480 500 507 512 520 528 550 572 600 624 640 650 660 676 704 715 750 768 780 800 825 832 845 858 880 960 975 1000 1014 1024 1040 1056 1100 1144 1200 1248 1280 1300 1320 1352 1375 1408 1430 1500 1536 1560 1600 1625 1650 1664 1690 1716 1760 1859 1920 1950 2000 2028 2048 2080 2112 2145 2200 2267 2288 2400 2496 2535 2560 2600 2640 2704 2750 2816 2860 3000 3072 3120 3200 3250 3300 3328 3380 3432 3520 3575 3718 3840 3900 4000 4056 4096 4125 4160 4224 4225 4290 4400 4534 4576 4800 4875 4992 5070 5120 5200 5280 5408 5500 5577 5632 5720 6000 6144 6240 6400 6500 6600 6656 6760 6801 6864 7040 7150 7436 7680 7800 8000 8112 8192 8250 8320 8448 8450 8580 8800 9068 9152 9295 9600 9750 9984 10140 10240 10400 10560 10725 10816 11000 11154 11264 11335 11440 12000 12288 12480 12675 12800 13000 13200 13312 13520 13602 13728 14080 14300 14872 15360 15600 16000 16224 16500 16640 16896 16900 17160 17600 17875 18136 18304 18590 19200 19500 19968 20280 20480 20800 21120 21125 21450 21632 22000 22308 22528 22670 22880 24000 24576 24937 24960 25350 25600 26000 26400 26624 27040 27204 27456 27885 28160 28600 29471 29744 30720 31200 32000 32448 33000 33280 33792 33800 34005 34320 35200 35750 36272 36608 37180 38400 39000 39936 40560 40960 41600 42240 42250 42900 43264 44000 44616 45056 45340 45760 46475 48000 49874 49920 50700 51200 52000 52800 53248 53625 54080 54408 54912 55770 56320 56675 57200 58942 59488 61440 62400 63375 64000 64896 66000 66560 67584 67600 68010 68640 70400 71500 72544 73216 74360 74811 76800 78000 79872 81120 83200 84480 84500 85800 86528 88000 88413 89232 90112 90680 91520 92950 96000 99748 99840 101400 102400 104000 105600 106496 107250 108160 108816 109824 111540 112640 113350 114400 117884 118976 122880 124685 124800 126750 128000 129792 132000 133120 135168 135200 136020 137280 139425 140800 143000 145088 146432 147355 148720 149622 153600 156000 159744 162240 166400 168960 169000 170025 171600 173056 176000 176826 178464 181360 183040 185900 192000 199496 199680 202800 204800 208000 211200 214500 216320 217632 219648 223080 225280 226700 228800 232375 235768 237952 249370 249600 253500 256000 259584 264000 266240 270336 270400 272040 274560 278850 281600 283375 286000 290176 292864 294710 297440 299244 307200 312000 319488 324181 324480 332800 337920 338000 340050 343200 346112 352000 353652 356928 362720 366080 371800 374055 383123 384000 398992 399360 405600 416000 422400 429000 432640 435264 439296 442065 446160 450560 453400 457600 464750 471536 475904 498740 499200 507000 512000 519168 528000 532480 540800 544080 549120 557700 563200 566750 572000 580352 585728 589420 594880 598488 614400 623425 624000 648362 648960 665600 675840 676000 680100 686400 692224 697125 704000 707304 713856 725440 732160 736775 743600 748110 766246 768000 797984 798720 811200 832000 844800 850125 858000 865280 870528 878592 884130 892320 906800 915200 929500 943072 951808 972543 997480 998400 1014000 1024000 1038336 1056000 1081600 1088160 1098240 1115400 1126400 1133500 1144000 1149369 1160704 1171456 1178840 1189760 1196976 1246850 1248000 1296724 1297920 1331200 1351680 1352000 1360200 1372800 1384448 1394250 1408000 1414608 1427712 1450880 1464320 1473550 1487200 1496220 1532492 1536000 1595968 1597440 1620905 1622400 1664000 1689600 1700250 1716000 1730560 1741056 1757184 1768260 1784640 1813600 1830400 1859000 1870275 1886144 1903616 1915615 1945086 1994960 1996800 2028000 2076672 2112000 2163200 2176320 2196480 2210325 2230800 2252800 2267000 2288000 2298738 2321408 2357680 2379520 2393952 2493700 2496000 2593448 2595840 2662400 2704000 2720400 2745600 2788500 2816000 2829216 2855424 2901760 2928640 2947100 2974400 2992440 3064984 3072000 3117125 3191936 3241810 3244800 3328000 3379200 3400500 3432000 3461120 3482112 3514368 3536520 3569280 3627200 3660800 3683875 3718000 3740550 3772288 3807232 3831230 3890172 3989920 3993600 4056000 4153344 4214353 4224000 4326400 4352640 4392960 4420650 4461600 4534000 4576000 4597476 4642816 4715360 4759040 4787904 4862715 4987400 4992000 5186896 5191680 5408000 5440800 5491200 5577000 5632000 5658432 5710848 5746845 5803520 5857280 5894200 5948800 5984880 6129968 6234250 6383872 6483620 6489600 6656000 6758400 6801000 6864000 6922240 6964224 7073040 7138560 7254400 7321600 7367750 7436000 7481100 7544576 7614464 7662460 7780344 7979840 7987200 8104525 8112000 8428706 8448000 8652800 8705280 8785920 8841300 8923200 9068000 9152000 9194952 9285632 9351375 9430720 9518080 9575808 9578075 9725430 9974800 9984000 10373792 10383360 10816000 10881600 10982400 11051625 11154000 11264000 11316864 11421696 11493690 11607040 11788400 11897600 11969760 12259936 12468500 12643059 12767744 12967240 12979200 13312000 13602000 13728000 13928448 14146080 14277120 14508800 14643200 14735500 14872000 14962200 15089152 15228928 15324920 15560688 15959680 16209050 16224000 16857412 16896000 17305600 17410560 17571840 17682600 17846400 18136000 18304000 18389904 18571264 18702750 18861440 19036160 19151616 19156150 19450860 19949600 19968000 20747584 20766720 21071765 21632000 21763200 21964800 22103250 22308000 22633728 22843392 22987380 23214080 23576800 23795200 23939520 24313575 24519872 24937000 25286118 25535488 25934480 25958400 27204000 27456000 27856896 28292160 28554240 28734225 29017600 29286400 29471000 29744000 29924400 30178304 30649840 31121376 31919360 32418100 32448000 33714824 33792000 34611200 34821120 35365200 35692800 36272000 36608000 36779808 37405500 37722880 38072320 38303232 38312300 38901720 39899200 39936000 40522625 41495168 42143530 43264000 43526400 43929600 44206500 44616000 45267456 45686784 45974760 46428160 47153600 47590400 47879040 47890375 48627150 49039744 49874000 50572236 51070976 51868960 51916800 54408000 54912000 55713792 56584320 57108480 57468450 58035200 58942000 59488000 59848800 60356608 61299680 62242752 63215295 63838720 64836200 64896000 67429648 69642240 70730400 71385600 72544000 73216000 73559616 74811000 75445760 76144640 76606464 76624600 77803440 79798400 81045250 82990336 84287060 86528000 87052800 87859200 88413000 89232000 90534912 91949520 92856320 94307200 95180800 95758080 95780750 97254300 98079488 99748000 101144472 102141952 103737920 103833600 105358825 108816000 109824000 113168640 114216960 114936900 116070400 117884000 118976000 119697600 120713216 121567875 122599360 124485504 126430590 127677440 129672400 129792000 134859296 139284480 141460800 142771200 143671125 145088000 146432000 147119232 149622000 150891520 153212928 153249200 155606880 159596800 162090500 165980672 168574120 173056000 174105600 176826000 178464000 181069824 183899040 188614400 190361600 191516160 191561500 194508600 196158976 199496000 202288944 204283904 207475840 210717650 217632000 219648000 226337280 228433920 229873800 232140800 235768000 237952000 239395200 241426432 243135750 245198720 248971008 252861180 255354880 259344800 259584000 269718592 278568960 282921600 285542400 287342250 290176000 294238464 299244000 301783040 306425856 306498400 311213760 316076475 319193600 324181000 331961344 337148240 348211200 353652000 356928000 362139648 367798080 377228800 380723200 383032320 383123000 389017200 392317952 398992000 404577888 414951680 421435300 435264000 439296000 452674560 459747600 464281600 471536000 475904000 478790400 486271500 490397440 497942016 505722360 510709760 518689600 519168000 526794125 539437184 565843200 571084800 574684500 580352000 588476928 598488000 603566080 612851712 612996800 622427520 632152950 638387200 648362000 663922688 674296480 696422400 707304000 713856000 724279296 735596160 754457600 766064640 766246000 778034400 784635904 797984000 809155776 829903360 842870600 870528000 905349120 919495200 943072000 951808000 957580800 972543000 980794880 995884032 1011444720 1021419520 1037379200 1053588250 1078874368 1131686400 1142169600 1149369000 1160704000 1176953856 1196976000 1207132160 1225993600 1244855040 1264305900 1276774400 1296724000 1327845376 1348592960 1392844800 1414608000 1427712000 1471192320 1508915200 1532129280 1532492000 1556068800 1569271808 1580382375 1595968000 1618311552 1659806720 1685741200 1741056000 1810698240 1838990400 1886144000 1903616000 1915161600 1945086000 1961589760 1991768064 2022889440 2074758400 2107176500 2157748736 2263372800 2298738000 2321408000 2353907712 2393952000 2451987200 2489710080 2528611800 2553548800 2593448000 2655690752 2697185920 2829216000 2855424000 2942384640 3017830400 3064258560 3064984000 3112137600 3138543616 3160764750 3191936000 3236623104 3319613440 3371482400 3482112000 3621396480 3677980800 3772288000 3830323200 3890172000 3923179520 3983536128 4045778880 4149516800 4214353000 4315497472 4526745600 4597476000 4707815424 4787904000 4903974400 4979420160 5057223600 5107097600 5186896000 5394371840 5658432000 5710848000 5884769280 6035660800 6129968000 6224275200 6321529500 6383872000 6473246208 6639226880 6742964800 6964224000 7355961600 7544576000 7660646400 7780344000 7846359040 7967072256 8091557760 8299033600 8428706000 8630994944 9053491200 9194952000 9415630848 9575808000 9807948800 9958840320 10114447200 10373792000 10788743680 11316864000 11769538560 12259936000 12448550400 12643059000 12767744000 12946492416 13278453760 13485929600 14711923200 15089152000 15321292800 15560688000 15692718080 16183115520 16598067200 16857412000 17261989888 18106982400 18389904000 19151616000 19615897600 19917680640 20228894400 20747584000 21577487360 22633728000 23539077120 24519872000 24897100800 25286118000 25535488000 25892984832 26971859200 29423846400 30178304000 31121376000 32366231040 33196134400 33714824000 34523979776 36779808000 38303232000 39231795200 39835361280 40457788800 41495168000 43154974720 45267456000 47078154240 49039744000 49794201600 50572236000 51785969664 53943718400 58847692800 62242752000 64732462080 66392268800 67429648000 73559616000 76606464000 78463590400 80915577600 82990336000 86309949440 90534912000 98079488000 99588403200 101144472000 103571939328 107887436800 117695385600 124485504000 129464924160 134859296000 147119232000 161831155200 165980672000 172619898880 196158976000 199176806400 202288944000 215774873600 235390771200 248971008000 258929848320 269718592000 294238464000 323662310400 331961344000 392317952000 404577888000 431549747200 497942016000 517859696640 539437184000 588476928000 647324620800 809155776000 863099494400 995884032000 1078874368000 1176953856000 1294649241600 1618311552000 2157748736000 2589298483200 3236623104000 4315497472000 6473246208000 12946492416000
- Sum of all divisors σ(n): 50915897899776
- Sum of proper divisors (its aliquot sum) s(n): 37969405483776
- 12946492416000 is an abundant number, because the sum of its proper divisors (37969405483776) is greater than itself. Its abundance is 25022913067776
Bases of 12946492416000
- Binary: 101111000110010101110001010011100000000000002
- Hexadecimal: 0xBC65714E000
- Base-36: 4L7JBBDHC
Squares and roots of 12946492416000
- 12946492416000 squared (129464924160002) is 167611665877545517056000000
- 12946492416000 cubed (129464924160003) is 2169983161116769021260302647296000000000
-
The
square root of 12946492416000 is 3598123.4575817435 -
The
cube root of 12946492416000 is 23481.0424541547
Scales and comparisons
How big is 12946492416000?- 12,946,492,416,000 seconds is equal to 411,658 years, 21 weeks, 3 days, 5 hours, 20 minutes.
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To count from 1 to 12,946,492,416,000 would take you about one million, twenty-nine thousand, one hundred forty-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 12946492416000 cubic inches would be around 1956.8 feet tall.
Recreational maths with 12946492416000
- 12946492416000 backwards is 00061429464921
- 12946492416000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 12946492416000's digits is 48
- More coming soon!
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The information we have on file for 12946492416000 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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