12961723968000
12,961,723,968,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12961723968000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1920 divisors.
12961723968000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, nine hundred twenty divisors.
Prime factorization of 12961723968000:
29 × 32 × 53 × 23 × 31 × 37 × 853
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 23 × 31 × 37 × 853)See below for interesting mathematical facts about the number 12961723968000 from the Numbermatics database.
Names of 12961723968000
- Cardinal: 12961723968000 can be written as Twelve trillion, nine hundred sixty-one billion, seven hundred twenty-three million, nine hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 1.2961723968 × 1013
Factors of 12961723968000
Divisors of 12961723968000
- Number of divisors d(n): 1920
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 30 31 32 36 37 40 45 46 48 50 60 62 64 69 72 74 75 80 90 92 93 96 100 111 115 120 124 125 128 138 144 148 150 155 160 180 184 185 186 192 200 207 222 225 230 240 248 250 256 276 279 288 296 300 310 320 333 345 360 368 370 372 375 384 400 414 444 450 460 465 480 496 500 512 552 555 558 575 576 592 600 620 640 666 690 713 720 736 740 744 750 768 775 800 828 851 853 888 900 920 925 930 960 992 1000 1035 1104 1110 1116 1125 1147 1150 1152 1184 1200 1240 1280 1332 1380 1395 1426 1440 1472 1480 1488 1500 1536 1550 1600 1656 1665 1702 1706 1725 1776 1800 1840 1850 1860 1920 1984 2000 2070 2139 2208 2220 2232 2250 2294 2300 2304 2325 2368 2400 2480 2553 2559 2560 2664 2760 2775 2790 2852 2875 2880 2944 2960 2976 3000 3100 3200 3312 3330 3404 3412 3441 3450 3552 3565 3600 3680 3700 3720 3840 3875 3968 4000 4140 4255 4265 4278 4416 4440 4464 4500 4588 4600 4608 4625 4650 4736 4800 4960 5106 5118 5175 5328 5520 5550 5580 5704 5735 5750 5760 5888 5920 5952 6000 6200 6400 6417 6624 6660 6808 6824 6882 6900 6975 7104 7130 7200 7360 7400 7440 7659 7677 7680 7750 7936 8000 8280 8325 8510 8530 8556 8625 8832 8880 8928 9000 9176 9200 9250 9300 9472 9600 9920 10212 10236 10323 10350 10656 10695 11040 11100 11160 11408 11470 11500 11520 11625 11776 11840 11904 12000 12400 12765 12795 12800 12834 13248 13320 13616 13648 13764 13800 13875 13950 14208 14260 14400 14720 14800 14880 15318 15354 15500 15872 16000 16560 16650 17020 17060 17112 17205 17250 17664 17760 17825 17856 18000 18352 18400 18500 18600 18944 19200 19619 19840 20424 20472 20646 20700 21275 21312 21325 21390 22080 22200 22320 22816 22940 23000 23040 23250 23680 23808 24000 24800 25530 25590 25668 25875 26381 26443 26496 26640 27232 27296 27528 27600 27750 27900 28416 28520 28675 28800 29440 29600 29760 30636 30708 31000 31561 32000 32085 33120 33300 34040 34120 34224 34410 34500 34875 35328 35520 35650 35712 36000 36704 36800 37000 37200 38295 38385 38400 39238 39680 40848 40944 41292 41400 41625 42550 42624 42650 42780 44160 44400 44640 45632 45880 46000 46500 47360 47616 48000 49600 51060 51180 51336 51615 51750 52762 52886 52992 53280 53475 54464 54592 55056 55200 55500 55800 56832 57040 57350 57600 58857 58880 59200 59520 61272 61416 62000 63122 63825 63975 64000 64170 66240 66600 68080 68240 68448 68820 69000 69750 71040 71300 71424 72000 73408 73600 74000 74400 76590 76770 78476 79143 79329 79360 81696 81888 82584 82800 83250 85100 85248 85300 85560 86025 88320 88800 89125 89280 91264 91760 92000 93000 94683 94720 96000 98095 99200 102120 102360 102672 103230 103500 105524 105772 105984 106375 106560 106625 106950 108928 109184 110112 110400 111000 111600 114080 114700 115200 117714 118400 119040 122544 122832 124000 126244 127650 127950 128340 131905 132215 132480 133200 136160 136480 136896 137640 138000 139500 142080 142600 142848 143375 144000 146816 147200 148000 148800 153180 153540 156952 157805 158286 158658 160425 163392 163776 165168 165600 166500 170200 170496 170600 171120 172050 176571 176640 177600 178250 178560 182528 183520 184000 186000 189366 191475 191925 192000 196190 198400 204240 204720 205344 206460 207000 211048 211544 212750 213120 213250 213900 217856 218368 220224 220800 222000 223200 228160 229400 235428 236800 237429 237987 238080 245088 245664 248000 252488 255300 255900 256680 258075 263810 264430 264960 266400 267375 272320 272960 273792 275280 276000 279000 284049 284160 285200 286750 288000 293632 294285 294400 296000 297600 306360 307080 313904 315610 316572 317316 319125 319875 320850 326784 327552 330336 331200 333000 340400 341200 342240 344100 353142 355200 356500 357120 365056 367040 368000 372000 378732 382950 383850 392380 395715 396645 396800 408480 409440 410688 412920 414000 422096 423088 425500 426240 426500 427800 430125 435712 436736 440448 441600 444000 446400 456320 458800 470856 473415 473600 474858 475974 490176 490475 491328 496000 504976 510600 511800 513360 516150 527620 528860 529920 532800 534750 544640 545920 547584 550560 552000 558000 568098 570400 573500 576000 587264 588570 592000 595200 608189 612720 614160 627808 631220 633144 634632 638250 639750 641700 653568 655104 659525 660672 661075 662400 666000 680800 682400 684480 688200 706284 710400 713000 714240 725903 734080 736000 744000 757464 765900 767700 784760 789025 791430 793290 802125 816960 818880 821376 825840 828000 844192 846176 851000 852480 853000 855600 860250 880896 882855 883200 888000 892800 912640 917600 941712 946830 949716 951948 957375 959625 978391 980352 980950 982656 992000 1009952 1021200 1023600 1026720 1032300 1055240 1057720 1065600 1069500 1089280 1091840 1095168 1101120 1104000 1116000 1136196 1140800 1147000 1177140 1184000 1187145 1189935 1190400 1216378 1225440 1228320 1255616 1262440 1266288 1269264 1276500 1279500 1283400 1290375 1307136 1310208 1319050 1321344 1322150 1324800 1332000 1361600 1364800 1368960 1376400 1412568 1420245 1420800 1426000 1451806 1468160 1471425 1472000 1488000 1514928 1531800 1535400 1569520 1578050 1582860 1586580 1604250 1633920 1637760 1642752 1651680 1656000 1688384 1692352 1702000 1706000 1711200 1720500 1761792 1765710 1776000 1785600 1824567 1825280 1835200 1883424 1893660 1899432 1903896 1914750 1919250 1956782 1960704 1961900 1965312 1978575 1983225 1984000 2019904 2042400 2047200 2053440 2064600 2110480 2115440 2131200 2139000 2177709 2178560 2183680 2202240 2208000 2232000 2272392 2281600 2294000 2354280 2367075 2368000 2374290 2379870 2432756 2450880 2452375 2456640 2511232 2524880 2532576 2538528 2553000 2559000 2566800 2580750 2638100 2642688 2644300 2649600 2664000 2723200 2729600 2737920 2752800 2825136 2840490 2852000 2903612 2935173 2936320 2942850 2976000 3029856 3040945 3063600 3070800 3139040 3156100 3165720 3173160 3208500 3267840 3275520 3285504 3297625 3303360 3305375 3312000 3376768 3384704 3404000 3412000 3422400 3441000 3531420 3552000 3571200 3629515 3649134 3670400 3766848 3787320 3798864 3807792 3829500 3838500 3913564 3921408 3923800 3930624 3945125 3957150 3966450 4039808 4084800 4094400 4106880 4129200 4220960 4230880 4262400 4278000 4355418 4404480 4414275 4416000 4464000 4544784 4563200 4588000 4708560 4734150 4748580 4759740 4865512 4891955 4901760 4904750 4913280 5022464 5049760 5065152 5077056 5106000 5118000 5133600 5161500 5276200 5285376 5288600 5328000 5446400 5459200 5473701 5475840 5505600 5650272 5680980 5704000 5807224 5870346 5885700 5935725 5949675 5952000 6059712 6081890 6127200 6141600 6278080 6312200 6331440 6346320 6417000 6533127 6535680 6551040 6595250 6606720 6610750 6624000 6753536 6769408 6808000 6824000 6844800 6882000 7062840 7101225 7104000 7259030 7298268 7340800 7357125 7533696 7574640 7597728 7615584 7659000 7677000 7827128 7847600 7890250 7914300 7932900 8079616 8169600 8188800 8213760 8258400 8441920 8461760 8556000 8710836 8805519 8808960 8828550 8928000 9089568 9122835 9126400 9176000 9417120 9468300 9497160 9519480 9731024 9783910 9803520 9809500 9826560 9892875 9916125 10044928 10099520 10130304 10154112 10212000 10236000 10267200 10323000 10552400 10577200 10656000 10888545 10892800 10918400 10947402 11011200 11300544 11361960 11408000 11614448 11740692 11771400 11835375 11871450 11899350 12119424 12163780 12254400 12283200 12556160 12624400 12662880 12692640 12834000 13066254 13190500 13213440 13221500 13248000 13507072 13538816 13616000 13648000 13689600 13764000 14125680 14202450 14518060 14596536 14675865 14681600 14714250 15067392 15149280 15195456 15204725 15231168 15318000 15354000 15654256 15695200 15780500 15828600 15865800 16159232 16339200 16377600 16427520 16516800 16883840 16923520 17112000 17421672 17611038 17657100 17856000 18147575 18179136 18245670 18352000 18834240 18936600 18994320 19038960 19462048 19567820 19607040 19619000 19653120 19785750 19832250 20199040 20260608 20308224 20424000 20472000 20534400 20646000 21104800 21154400 21312000 21777090 21894804 22022400 22071375 22502993 22601088 22723920 22816000 23228896 23481384 23542800 23670750 23742900 23798700 24238848 24327560 24459775 24508800 24566400 25112320 25248800 25325760 25385280 25668000 26132508 26381000 26426880 26443000 27232000 27296000 27368505 27379200 27528000 28251360 28404900 29036120 29193072 29351730 29428500 29678625 29748375 30134784 30298560 30390912 30409450 30462336 30636000 30708000 31308512 31390400 31561000 31657200 31731600 32665635 32678400 32755200 33033600 33767680 33847040 34224000 34843344 35222076 35314200 35506125 36295150 36358272 36491340 36704000 37668480 37873200 37988640 38077920 38924096 39135640 39238000 39571500 39664500 40398080 40521216 40616448 40848000 40944000 41068800 41292000 42209600 42308800 43554180 43789608 44027595 44044800 44142750 45005986 45202176 45447840 45614175 45632000 46457792 46962768 47085600 47341500 47485800 47597400 48477696 48655120 48919550 49017600 49132800 50224640 50497600 50651520 50770560 51336000 52265016 52762000 52886000 54442725 54464000 54592000 54737010 55056000 56502720 56809800 58072240 58386144 58703460 58857000 59357250 59496750 60597120 60781824 60818900 60924672 61272000 61416000 62617024 62780800 63122000 63314400 63463200 65331270 66067200 67508979 67535360 67694080 68448000 69686688 70444152 70628400 71012250 72590300 72716544 72982680 73379325 73408000 75336960 75746400 75977280 76023625 76155840 77848192 78271280 78476000 79143000 79329000 80796160 81696000 81888000 82137600 82584000 84419200 84617600 87108360 87579216 88055190 88285500 90011972 90404352 90737875 90895680 91228350 92915584 93925536 94171200 94683000 94971600 95194800 97310240 97839100 98035200 98265600 100995200 101303040 101541120 102672000 104530032 105524000 105772000 108885450 109474020 110112000 112514965 113005440 113619600 116144480 116772288 117406920 117714000 118714500 118993500 121194240 121563648 121637800 121849344 122298875 122544000 122832000 125234048 125561600 126244000 126628800 126926400 130662540 132134400 135017958 136842525 136896000 139373376 140888304 141256800 142024500 145180600 145433088 145965360 146758650 150673920 151492800 151954560 152047250 152311680 155696384 156542560 156952000 158286000 158658000 163328175 163392000 163776000 165168000 168838400 169235200 174216720 175158432 176110380 176571000 180023944 181475750 181791360 182456700 185831168 187851072 188342400 189366000 189943200 190389600 194620480 195678200 201990400 202526937 202606080 203082240 205344000 209060064 211048000 211544000 217770900 218948040 220137975 220224000 225029930 226010880 227239200 228070875 232288960 233544576 234813840 235428000 237429000 237987000 242388480 243275600 244597750 245088000 245664000 250468096 251123200 252488000 253257600 253852800 261325080 270035916 272213625 273685050 278746752 281776608 282513600 284049000 290361200 291930720 293517300 302985600 303909120 304094500 304623360 311392768 313085120 313904000 316572000 317316000 326656350 330336000 337544895 337676800 338470400 348433440 350316864 352220760 353142000 360047888 362951500 363582720 364913400 366896625 371662336 375702144 376684800 378732000 379886400 380779200 389240960 391356400 403980800 405053874 410688000 418120128 422096000 423088000 435541800 437896080 440275950 450059860 452021760 454478400 456141750 464577920 467089152 469627680 470856000 474858000 475974000 486551200 489195500 490176000 491328000 500936192 504976000 506515200 507705600 522650160 540071832 544427250 547370100 557493504 562574825 563553216 565027200 568098000 580722400 583861440 587034600 605971200 607818240 608189000 609246720 626170240 627808000 633144000 634632000 653312700 660672000 675089790 684212625 696866880 700633728 704441520 706284000 720095776 725903000 727165440 729826800 733793250 751404288 753369600 757464000 759772800 761558400 778481920 782712800 810107748 816640875 836240256 844192000 846176000 871083600 875792160 880551900 900119720 908956800 912283500 929155840 934178304 939255360 941712000 949716000 951948000 973102400 978391000 1009952000 1012634685 1013030400 1015411200 1045300320 1080143664 1088854500 1094740200 1100689875 1114987008 1125149650 1127106432 1130054400 1136196000 1161444800 1167722880 1174069200 1211942400 1216378000 1252340480 1255616000 1266288000 1269264000 1306625400 1350179580 1368425250 1393733760 1401267456 1408883040 1412568000 1440191552 1451806000 1459653600 1467586500 1502808576 1514928000 1519545600 1523116800 1556963840 1565425600 1620215496 1633281750 1672480512 1687724475 1688384000 1692352000 1742167200 1751584320 1761103800 1800239440 1817913600 1824567000 1858311680 1878510720 1883424000 1899432000 1903896000 1946204800 1956782000 2019904000 2025269370 2090600640 2160287328 2177709000 2189480400 2201379750 2250299300 2254212864 2260108800 2272392000 2322889600 2335445760 2348138400 2432756000 2504680960 2532576000 2538528000 2613250800 2700359160 2736850500 2787467520 2802534912 2812874125 2817766080 2825136000 2880383104 2903612000 2919307200 2935173000 3029856000 3039091200 3046233600 3130851200 3240430992 3266563500 3344961024 3375448950 3484334400 3503168640 3522207600 3600478880 3635827200 3649134000 3757021440 3766848000 3798864000 3807792000 3892409600 3913564000 4050538740 4181201280 4320574656 4355418000 4378960800 4402759500 4500598600 4508425728 4544784000 4645779200 4670891520 4696276800 4865512000 5063173425 5065152000 5077056000 5226501600 5400718320 5473701000 5574935040 5625748250 5635532160 5650272000 5760766208 5807224000 5838614400 5870346000 6059712000 6261702400 6480861984 6533127000 6750897900 6968668800 7006337280 7044415200 7200957760 7298268000 7514042880 7597728000 7615584000 7784819200 7827128000 8101077480 8362402560 8438622375 8641149312 8710836000 8757921600 8805519000 9001197200 9089568000 9291558400 9392553600 9731024000 10126346850 10453003200 10801436640 10947402000 11251496500 11271064320 11300544000 11521532416 11614448000 11677228800 11740692000 12523404800 12961723968 13066254000 13501795800 13937337600 14012674560 14088830400 14401915520 14596536000 15195456000 15231168000 15654256000 16202154960 16724805120 16877244750 17282298624 17421672000 17515843200 17611038000 18002394400 18179136000 18785107200 19462048000 20252693700 20906006400 21602873280 21894804000 22502993000 22542128640 23228896000 23354457600 23481384000 25315867125 25923447936 26132508000 27003591600 27874675200 28177660800 28803831040 29193072000 31308512000 32404309920 33754489500 34564597248 34843344000 35031686400 35222076000 36004788800 37570214400 38924096000 40505387400 41812012800 43205746560 43789608000 45005986000 46457792000 46962768000 50631734250 51846895872 52265016000 54007183200 56355321600 57607662080 58386144000 62617024000 64808619840 67508979000 69686688000 70063372800 70444152000 72009577600 81010774800 83624025600 86411493120 87579216000 90011972000 93925536000 101263468500 103693791744 104530032000 108014366400 112710643200 116772288000 129617239680 135017958000 139373376000 140888304000 144019155200 162021549600 172822986240 175158432000 180023944000 187851072000 202526937000 209060064000 216028732800 259234479360 270035916000 281776608000 288038310400 324043099200 350316864000 360047888000 405053874000 418120128000 432057465600 518468958720 540071832000 563553216000 648086198400 720095776000 810107748000 864114931200 1080143664000 1296172396800 1440191552000 1620215496000 2160287328000 2592344793600 3240430992000 4320574656000 6480861984000 12961723968000
- Sum of all divisors σ(n): 51706634563584
- Sum of proper divisors (its aliquot sum) s(n): 38744910595584
- 12961723968000 is an abundant number, because the sum of its proper divisors (38744910595584) is greater than itself. Its abundance is 25783186627584
Bases of 12961723968000
- Binary: 101111001001111000101111001111101010000000002
- Hexadecimal: 0xBC9E2F3EA00
- Base-36: 4LEJ7SE80
Squares and roots of 12961723968000
- 12961723968000 squared (129617239680002) is 168006288222625665024000000
- 12961723968000 cubed (129617239680003) is 2177651132829923202233520095232000000000
-
The
square root of 12961723968000 is 3600239.4320378193 -
The
cube root of 12961723968000 is 23490.2473296211
Scales and comparisons
How big is 12961723968000?- 12,961,723,968,000 seconds is equal to 412,142 years, 37 weeks, 6 days, 8 hours.
-
To count from 1 to 12,961,723,968,000 would take you about one million, thirty thousand, three hundred fifty-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 12961723968000 cubic inches would be around 1957.5 feet tall.
Recreational maths with 12961723968000
- 12961723968000 backwards is 00086932716921
- The number of decimal digits it has is: 14
- The sum of 12961723968000's digits is 54
- More coming soon!
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"Number 12961723968000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 12961723968000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/12961723968000/
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The information we have on file for 12961723968000 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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