13097971346816000
13,097,971,346,816,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13097971346816000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 1408 divisors.
13097971346816000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, four hundred eight divisors.
Prime factorization of 13097971346816000:
210 × 53 × 31 × 41 × 157 × 193 × 2657
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 31 × 41 × 157 × 193 × 2657)See below for interesting mathematical facts about the number 13097971346816000 from the Numbermatics database.
Names of 13097971346816000
- Cardinal: 13097971346816000 can be written as Thirteen quadrillion, ninety-seven trillion, nine hundred seventy-one billion, three hundred forty-six million, eight hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3097971346816 × 1016
Factors of 13097971346816000
Divisors of 13097971346816000
- Number of divisors d(n): 1408
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 32 40 41 50 62 64 80 82 100 124 125 128 155 157 160 164 193 200 205 248 250 256 310 314 320 328 386 400 410 496 500 512 620 628 640 656 772 775 785 800 820 965 992 1000 1024 1025 1240 1256 1271 1280 1312 1544 1550 1570 1600 1640 1930 1984 2000 2050 2480 2512 2542 2560 2624 2657 3088 3100 3140 3200 3280 3860 3875 3925 3968 4000 4100 4825 4867 4960 5024 5084 5120 5125 5248 5314 5983 6176 6200 6280 6355 6400 6437 6560 7720 7750 7850 7913 7936 8000 8200 9650 9734 9920 10048 10168 10250 10496 10628 11966 12352 12400 12560 12710 12800 12874 13120 13285 15440 15500 15700 15826 15872 16000 16400 19300 19468 19625 19840 20096 20336 20500 20992 21256 23932 24125 24335 24704 24800 25120 25420 25600 25748 26240 26570 29915 30301 30880 31000 31400 31652 31744 31775 32000 32185 32800 38600 38936 39250 39565 39680 40192 40672 41000 41984 42512 47864 48250 48670 49408 49600 50240 50840 51496 52480 53140 59830 60602 61760 62000 62800 63304 63550 64000 64370 65600 66425 77200 77872 78500 79130 79360 80384 81344 82000 82367 85024 95728 96500 97340 98816 99200 100480 101680 102992 104960 106280 108937 119660 121204 121675 123520 124000 125600 126608 127100 128000 128740 131200 132850 149575 151505 154400 155744 157000 158260 158720 158875 160768 160925 162688 164000 164734 170048 191456 193000 194680 197632 197825 198400 199547 200960 203360 205984 209920 212560 217874 239320 242408 243350 245303 247040 248000 251200 253216 254200 257480 262400 265700 299150 303010 308800 311488 314000 316520 317750 321850 325376 328000 329468 332125 340096 382912 386000 389360 395650 396800 399094 401920 406720 411835 411968 417149 425120 435748 478640 484816 486700 490606 494080 496000 502400 506432 508400 512801 514960 524800 531400 544685 598300 606020 608375 617600 622976 628000 633040 635500 643700 650752 656000 658936 664250 680192 747875 757525 765824 772000 778720 791300 793600 798188 803840 804625 813440 823670 823936 834298 850240 871496 939331 957280 969632 973400 981212 988160 989125 992000 997735 1004800 1012864 1016800 1025602 1029920 1049600 1062800 1089370 1196600 1212040 1216750 1226515 1235200 1242341 1245952 1256000 1266080 1271000 1287400 1301504 1312000 1317872 1328500 1360384 1495750 1515050 1531648 1544000 1557440 1582600 1596376 1609250 1626880 1647340 1647872 1668596 1700480 1742992 1878662 1914560 1939264 1946800 1962424 1978250 1984000 1995470 2009600 2025728 2033600 2051204 2059175 2059840 2085745 2125600 2178740 2393200 2424080 2433500 2453030 2470400 2484682 2491904 2512000 2532160 2542000 2564005 2574800 2624000 2635744 2657000 2720768 2723425 2991500 3030100 3063296 3088000 3114880 3165200 3192752 3218500 3253760 3294680 3295744 3337192 3377047 3400960 3485984 3757324 3787625 3829120 3878528 3893600 3924848 3956500 3968000 3990940 4019200 4051456 4067200 4102408 4118350 4119680 4171490 4251200 4357480 4696655 4786400 4848160 4867000 4906060 4940800 4969364 4983808 4988675 5024000 5064320 5084000 5128010 5149600 5248000 5271488 5314000 5446850 5983000 6060200 6126592 6132575 6176000 6211705 6229760 6330400 6385504 6437000 6507520 6589360 6591488 6674384 6754094 6801920 6971968 7514648 7575250 7658240 7757056 7787200 7849696 7913000 7981880 8102912 8134400 8204816 8236700 8239360 8342980 8502400 8714960 9393310 9572800 9696320 9734000 9812120 9938728 9977350 10048000 10128640 10168000 10256020 10295875 10299200 10428725 10542976 10628000 10893700 11966000 12120400 12265150 12352000 12423410 12459520 12660800 12771008 12820025 12874000 12931619 13178720 13348768 13508188 13603840 13617125 13943936 15029296 15150500 15316480 15514112 15574400 15699392 15826000 15896831 15963760 16268800 16409632 16473400 16478720 16685960 16885235 17004800 17103109 17429920 18786620 19145600 19392640 19468000 19624240 19877456 19954700 20096000 20257280 20336000 20512040 20591750 20598400 20857450 21024841 21085952 21256000 21787400 23483275 23932000 24240800 24530300 24704000 24846820 24919040 24943375 25321600 25542016 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1272157184 1277100800 1288156112 1293161900 1303540142 1312770560 1317872000 1334876800 1345589824 1350818800 1368248720 1394393600 1502929600 1540502840 1569939200 1589683100 1590196480 1596376000 1610195140 1616452375 1640963200 1655247232 1668596000 1681987280 1688523500 1710310900 1729048064 1742992000 1878662000 1925628550 1939264000 1962424000 1987103875 1987745600 2012743925 2034794368 2051204000 2069059040 2102484100 2108595200 2120785516 2135802880 2137888625 2161310080 2189197952 2404687360 2464804544 2484682000 2495802467 2543492960 2554201600 2576312224 2586323800 2607080284 2625541120 2628105125 2635744000 2650981895 2669753600 2691179648 2701637600 2736497440 2788787200 3005859200 3081005680 3139878400 3179366200 3180392960 3192752000 3220390280 3232904750 3258850355 3281926400 3300900037 3310494464 3337192000 3363974560 3377047000 3420621800 3458096128 3485984000 3757324000 3851257100 3878528000 3924848000 3974207750 3975491200 4025487850 4069588736 4102408000 4138118080 4204968200 4241571032 4275777250 4322620160 4378395904 4809374720 4814071375 4929609088 4969364000 4991604934 5086985920 5108403200 5152624448 5172647600 5214160568 5256210250 5271488000 5301963790 5339507200 5382359296 5403275200 5472994880 6011718400 6162011360 6279756800 6358732400 6360785920 6385504000 6440780560 6465809500 6517700710 6563852800 6601800074 6620988928 6674384000 6727949120 6754094000 6841243600 6971968000 7514648000 7702514200 7849696000 7948415500 7950982400 8050975700 8139177472 8204816000 8276236160 8409936400 8483142064 8551554500 8645240320 8756791808 9628142750 9859218176 9938728000 9983209868 10063719625 10173971840 10305248896 10345295200 10428321136 10512420500 10542976000 10603927580 10679014400 10764718592 10806550400 10945989760 12023436800 12324022720 12479012335 12717464800 12771008000 12881561120 12931619000 13035401420 13127705600 13203600148 13241977856 13254909475 13348768000 13455898240 13508188000 13682487200 13943936000 15029296000 15405028400 15699392000 15896831000 15901964800 16101951400 16278354944 16294251775 16409632000 16504500185 16552472320 16819872800 16966284128 17103109000 17290480640 17513583616 19256285500 19718436352 19877456000 19966419736 20127439250 20347943680 20610497792 20690590400 20856642272 21024841000 21207855160 21529437184 21613100800 21891979520 24046873600 24648045440 24958024670 25434929600 25542016000 25763122240 25863238000 26070802840 26407200296 26509818950 26697536000 26911796480 27016376000 27364974400 30058592000 30810056800 31398784000 31793662000 31803929600 32203902800 32588503550 32819264000 33009000370 33104944640 33639745600 33932568256 34206218000 38512571000 39436872704 39754912000 39932839472 40254878500 40695887360 41220995584 41381180800 41713284544 42049682000 42415710320 43226201600 43783959040 49296090880 49916049340 50869859200 51526244480 51726476000 52141605680 52814400592 53019637900 53395072000 53823592960 54032752000 54729948800 60117184000 61620113600 62395061675 63587324000 64407805600 65177007100 65638528000 66018000740 66209889280 66274547375 67279491200 67865136512 68412436000 77025142000 79509824000 79865678944 80509757000 81391774720 81471258875 82441991168 82522500925 82762361600 83426569088 84099364000 84831420640 86452403200 87567918080 98592181760 99832098680 101739718400 102327901147 103052488960 103452952000 104283211360 105628801184 106039275800 107647185920 108065504000 109459897600 120234368000 123240227200 124790123350 127174648000 128815611200 130354014200 132036001480 132549094750 134558982400 135730273024 136824872000 154050284000 159019648000 159731357888 161019514000 162942517750 165045001850 165524723200 166853138176 168198728000 169662841280 197184363520 199664197360 203479436800 204655802294 206104977920 206905904000 208566422720 211257602368 212078551600 216131008000 218919795200 246480454400 249580246700 254349296000 257631222400 260708028400 264072002960 265098189500 269117964800 271460546048 273649744000 308100568000 311975308375 319462715776 322039028000 325885035500 330090003700 331049446400 333706276352 336397456000 339325682560 399328394720 406958873600 409311604588 412209955840 412612504625 413811808000 417132845440 422515204736 424157103200 432262016000 437839590400 492960908800 499160493400 508698592000 511639505735 515262444800 521416056800 528144005920 530196379000 538235929600 542921092096 547299488000 616201136000 623950616750 638925431552 644078056000 651770071000 660180007400 667412552704 672794912000 678651365120 798656789440 818623209176 825225009250 827623616000 834265690880 845030409472 848314206400 985921817600 998320986800 1017397184000 1023279011470 1030524889600 1042832113600 1056288011840 1060392758000 1094598976000 1232402272000 1247901233500 1277850863104 1288156112000 1303540142000 1320360014800 1345589824000 1357302730240 1597313578880 1637246418352 1650450018500 1655247232000 1668531381760 1690060818944 1696628412800 1996641973600 2034794368000 2046558022940 2061049779200 2085664227200 2112576023680 2120785516000 2189197952000 2464804544000 2495802467000 2555701726208 2558197528675 2576312224000 2607080284000 2640720029600 2691179648000 2714605460480 3194627157760 3274492836704 3300900037000 3337062763520 3380121637888 3393256825600 3993283947200 4093116045880 4171328454400 4225152047360 4241571032000 4929609088000 4991604934000 5116395057350 5152624448000 5214160568000 5281440059200 6389254315520 6548985673408 6601800074000 6786513651200 7986567894400 8186232091760 8342656908800 8450304094720 8483142064000 9983209868000 10232790114700 10305248896000 10428321136000 10562880118400 12778508631040 12790987643375 13097971346816 13203600148000 13573027302400 15973135788800 16372464183520 16685313817600 16900608189440 16966284128000 19966419736000 20465580229400 20856642272000 21125760236800 25581975286750 26195942693632 26407200296000 31946271577600 32744928367040 33932568256000 39932839472000 40931160458800 41713284544000 42251520473600 51163950573500 52391885387264 52814400592000 63892543155200 65489856734080 67865136512000 79865678944000 81862320917600 83426569088000 84503040947200 102327901147000 104783770774528 105628801184000 130979713468160 159731357888000 163724641835200 204655802294000 211257602368000 261959426936320 319462715776000 327449283670400 409311604588000 422515204736000 523918853872640 654898567340800 818623209176000 1309797134681600 1637246418352000 2619594269363200 3274492836704000 6548985673408000 13097971346816000
- Sum of all divisors σ(n): 34966768899299328
- Sum of proper divisors (its aliquot sum) s(n): 21868797552483328
- 13097971346816000 is an abundant number, because the sum of its proper divisors (21868797552483328) is greater than itself. Its abundance is 8770826205667328
Bases of 13097971346816000
- Binary: 1011101000100010001001000110010110011110111100000000002
- Hexadecimal: 0x2E88891967BC00
- Base-36: 3KYUCYWAN7K
Squares and roots of 13097971346816000
- 13097971346816000 squared (130979713468160002) is 171556853402012940953337856000000
- 13097971346816000 cubed (130979713468160003) is 2247046750209478511704051720762997866496000000000
-
The
square root of 13097971346816000 is 114446368.8668889137 -
The
cube root of 13097971346816000 is 235722.6665778345
Scales and comparisons
How big is 13097971346816000?- 13,097,971,346,816,000 seconds is equal to 416,474,974 years, 7 weeks, 3 days, 3 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,097,971,346,816,000 would take you about one billion, two hundred forty-nine million, four hundred twenty-four thousand, nine hundred twenty-two 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 13097971346816000 cubic inches would be around 19643.6 feet tall.
Recreational maths with 13097971346816000
- 13097971346816000 backwards is 00061864317979031
- The number of decimal digits it has is: 17
- The sum of 13097971346816000's digits is 65
- More coming soon!
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"Number 13097971346816000 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 13097971346816000 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/13097971346816000/
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The information we have on file for 13097971346816000 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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