13973090159001600
13,973,090,159,001,600 is an even composite number composed of six prime numbers multiplied together.
13973090159001600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred eighty divisors.
Prime factorization of 13973090159001600:
215 × 34 × 52 × 11 × 53 × 6012
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 11 × 53 × 601 × 601)See below for interesting mathematical facts about the number 13973090159001600 from the Numbermatics database.
Names of 13973090159001600
- Cardinal: 13973090159001600 can be written as Thirteen quadrillion, nine hundred seventy-three trillion, ninety billion, one hundred fifty-nine million, one thousand, six hundred.
Scientific notation
- Scientific notation: 1.39730901590016 × 1016
Factors of 13973090159001600
Divisors of 13973090159001600
- Number of divisors d(n): 2880
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 53 54 55 60 64 66 72 75 80 81 88 90 96 99 100 106 108 110 120 128 132 135 144 150 159 160 162 165 176 180 192 198 200 212 216 220 225 240 256 264 265 270 275 288 297 300 318 320 324 330 352 360 384 396 400 405 424 432 440 450 477 480 495 512 528 530 540 550 576 583 594 600 601 636 640 648 660 675 704 720 768 792 795 800 810 825 848 864 880 891 900 954 960 990 1024 1056 1060 1080 1100 1152 1166 1188 1200 1202 1272 1280 1296 1320 1325 1350 1408 1431 1440 1485 1536 1584 1590 1600 1620 1650 1696 1728 1749 1760 1782 1800 1803 1908 1920 1980 2025 2048 2112 2120 2160 2200 2304 2332 2376 2385 2400 2404 2475 2544 2560 2592 2640 2650 2700 2816 2862 2880 2915 2970 3005 3072 3168 3180 3200 3240 3300 3392 3456 3498 3520 3564 3600 3606 3816 3840 3960 3975 4050 4096 4224 4240 4293 4320 4400 4455 4608 4664 4752 4770 4800 4808 4950 5088 5120 5184 5247 5280 5300 5400 5409 5632 5724 5760 5830 5940 6010 6144 6336 6360 6400 6480 6600 6611 6784 6912 6996 7040 7128 7155 7200 7212 7425 7632 7680 7920 7950 8100 8192 8448 8480 8586 8640 8745 8800 8910 9015 9216 9328 9504 9540 9600 9616 9900 10176 10240 10368 10494 10560 10600 10800 10818 11264 11448 11520 11660 11880 11925 12020 12288 12672 12720 12800 12960 13200 13222 13568 13824 13992 14080 14256 14310 14400 14424 14575 14850 15025 15264 15360 15741 15840 15900 16200 16227 16384 16896 16960 17172 17280 17490 17600 17820 18030 18432 18656 19008 19080 19200 19232 19800 19833 20352 20480 20736 20988 21120 21200 21465 21600 21636 22275 22528 22896 23040 23320 23760 23850 24040 24576 25344 25440 25600 25920 26235 26400 26444 27045 27136 27648 27984 28160 28512 28620 28800 28848 29150 29700 30050 30528 30720 31482 31680 31800 31853 32400 32454 32768 33055 33792 33920 34344 34560 34980 35200 35640 35775 36060 36864 37312 38016 38160 38400 38464 39600 39666 40704 40960 41472 41976 42240 42400 42930 43200 43272 43725 44550 45056 45075 45792 46080 46640 47223 47520 47700 48080 48681 49152 50688 50880 51200 51840 52470 52800 52888 54090 54272 55296 55968 56320 57024 57240 57600 57696 58300 59400 59499 60100 61056 61440 62964 63360 63600 63706 64800 64908 66110 67584 67840 68688 69120 69960 70400 71280 71550 72120 73728 74624 76032 76320 76800 76928 78705 79200 79332 81135 81408 81920 82944 83952 84480 84800 85860 86400 86544 87450 89100 90112 90150 91584 92160 93280 94446 95040 95400 95559 96160 97362 98304 99165 101376 101760 102400 103680 104940 105600 105776 107325 108180 108544 110592 111936 112640 114048 114480 115200 115392 116600 118800 118998 120200 122112 122880 125928 126720 127200 127412 129600 129816 131175 132220 135168 135225 135680 137376 138240 139920 140800 142560 143100 144240 147456 149248 152064 152640 153600 153856 157410 158400 158664 159265 162270 162816 163840 165275 165888 167904 168960 169600 171720 172800 173088 174900 178200 178497 180224 180300 183168 184320 186560 188892 190080 190800 191118 192320 194724 198330 202752 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325485445120 329554013184 330802323840 332882841600 336928292800 341139896460 343285430400 352268697600 352855812096 363277094400 363882556224 366171125760 367558137600 374493196800 379044329400 387495567360 390582534144 392062013440 396962788608 399459409920 404313951360 406856806400 411942516480 413502904800 422722437120 426424870575 430550630400 431268214784 438674227200 439405350912 441069765120 443843788800 454853195280 457713907200 464994680832 470474416128 479351291904 484369459200 485176741632 488228167680 490077516800 496203485760 499324262400 505392439200 514928145600 516660756480 528403046400 529283718144 532612546560 539085268480 545823834336 549256688640 551337206400 568566494100 581243351040 585873801216 588093020160 599189114880 606470927040 610285209600 620254357200 627299221504 645825945600 646902322176 650970890240 659108026368 661604647680 665765683200 673856585600 682279792920 686570860800 704537395200 705711624192 726554188800 727765112448 732342251520 735116275200 748986393600 758088658800 774991134720 784124026880 793925577216 798918819840 808627902720 813713612800 823885032960 827005809600 852849741150 861101260800 862536429568 878810701824 882139530240 887687577600 909706390560 915427814400 929989361664 940948832256 958702583808 968738918400 970353483264 976456335360 980155033600 992406971520 998648524800 1010784878400 1029856291200 1056806092800 1058567436288 1078170536960 1091647668672 1098513377280 1102674412800 1137132988200 1162486702080 1171747602432 1176186040320 1198378229760 1212941854080 1220570419200 1240508714400 1291651891200 1293804644352 1318216052736 1323209295360 1331531366400 1347713171200 1364559585840 1373141721600 1411423248384 1453108377600 1455530224896 1464684503040 1470232550400 1497972787200 1516177317600 1549982269440 1568248053760 1587851154432 1597837639680 1617255805440 1627427225600 1647770065920 1654011619200 1705699482300 1725072859136 1757621403648 1764279060480 1819412781120 1830855628800 1881897664512 1937477836800 1940706966528 1952912670720 1960310067200 1984813943040 1997297049600 2021569756800 2059712582400 2113612185600 2117134872576 2156341073920 2183295337344 2197026754560 2205348825600 2274265976400 2324973404160 2352372080640 2396756459520 2425883708160 2441140838400 2481017428800 2583303782400 2587609288704 2636432105472 2646418590720 2663062732800 2695426342400 2729119171680 2746283443200 2822846496768 2906216755200 2911060449792 2929369006080 2940465100800 2995945574400 3032354635200 3136496107520 3175702308864 3234511610880 3254854451200 3295540131840 3308023238400 3411398964600 3450145718272 3515242807296 3528558120960 3638825562240 3661711257600 3874955673600 3881413933056 3920620134400 3969627886080 3994594099200 4043139513600 4119425164800 4234269745152 4312682147840 4366590674688 4394053509120 4410697651200 4548531952800 4649946808320 4704744161280 4793512919040 4851767416320 4882281676800 4962034857600 5175218577408 5272864210944 5292837181440 5390852684800 5458238343360 5492566886400 5645692993536 5812433510400 5822120899584 5858738012160 5880930201600 5991891148800 6064709270400 6351404617728 6469023221760 6591080263680 6616046476800 6822797929200 6900291436544 7057116241920 7277651124480 7323422515200 7749911347200 7762827866112 7841240268800 7939255772160 7989188198400 8086279027200 8238850329600 8468539490304 8625364295680 8733181349376 8788107018240 8821395302400 9097063905600 9409488322560 9703534832640 9764563353600 9924069715200 10350437154816 10545728421888 10585674362880 10781705369600 10916476686720 10985133772800 11624867020800 11644241799168 11761860403200 11983782297600 12129418540800 12702809235456 12938046443520 13182160527360 13232092953600 13645595858400 14114232483840 14555302248960 14646845030400 15525655732224 15682480537600 15878511544320 16172558054400 16477700659200 16937078980608 17250728591360 17466362698752 17576214036480 17642790604800 18194127811200 19407069665280 19848139430400 20700874309632 21171348725760 21563410739200 21832953373440 21970267545600 23249734041600 23288483598336 23523720806400 23967564595200 24258837081600 25405618470912 25876092887040 26364321054720 26464185907200 27291191716800 28228464967680 29110604497920 29293690060800 31051311464448 31757023088640 32345116108800 32955401318400 34501457182720 34932725397504 35285581209600 36388255622400 38814139330560 39696278860800 42342697451520 43126821478400 43665906746880 43940535091200 46576967196672 47047441612800 48517674163200 50811236941824 51752185774080 52728642109440 52928371814400 54582383433600 58221208995840 62102622928896 63514046177280 64690232217600 65910802636800 69865450795008 70571162419200 72776511244800 77628278661120 79392557721600 84685394903040 86253642956800 87331813493760 87881070182400 93153934393344 97035348326400 103504371548160 105856743628800 109164766867200 116442417991680 127028092354560 129380464435200 131821605273600 139730901590016 141142324838400 145553022489600 155256557322240 158785115443200 172507285913600 174663626987520 186307868786688 194070696652800 211713487257600 218329533734400 232884835983360 254056184709120 258760928870400 263643210547200 279461803180032 291106044979200 310513114644480 317570230886400 349327253975040 388141393305600 423426974515200 436659067468800 465769671966720 517521857740800 558923606360064 582212089958400 635140461772800 698654507950080 776282786611200 873318134937600 931539343933440 1164424179916800 1270280923545600 1397309015900160 1552565573222400 1746636269875200 2328848359833600 2794618031800320 3493272539750400 4657696719667200 6986545079500800 13973090159001600
- Sum of all divisors σ(n): 57632510412374040
- Sum of proper divisors (its aliquot sum) s(n): 43659420253372440
- 13973090159001600 is an abundant number, because the sum of its proper divisors (43659420253372440) is greater than itself. Its abundance is 29686330094370840
Bases of 13973090159001600
- Binary: 1100011010010001110011100100110101011110000000000000002
- Hexadecimal: 0x31A47393578000
- Base-36: 3TL1P026800
Squares and roots of 13973090159001600
- 13973090159001600 squared (139730901590016002) is 195247248591587359169508802560000
- 13973090159001600 cubed (139730901590016003) is 2728207407867248334198008401689681221124096000000
-
The
square root of 13973090159001600 is 118207826.1326279531 -
The
cube root of 13973090159001600 is 240859.7070274929
Scales and comparisons
How big is 13973090159001600?- 13,973,090,159,001,600 seconds is equal to 444,301,045 years, 23 weeks, 3 days.
-
To count from 1 to 13,973,090,159,001,600 would take you about one billion, three hundred thirty-two million, nine hundred three thousand, one hundred thirty-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 13973090159001600 cubic inches would be around 20071.6 feet tall.
Recreational maths with 13973090159001600
- 13973090159001600 backwards is 00610095109037931
- 13973090159001600 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13973090159001600's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 13973090159001600 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 13973090159001600 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/13973090159001600/
Chicago style:
Numbermatics. 2024. "Number 13973090159001600 - Facts about the integer". https://numbermatics.com/n/13973090159001600/
The information we have on file for 13973090159001600 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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