12993791169398413721600
12,993,791,169,398,413,721,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 12993791169398413721600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1782 divisors.
12993791169398413721600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred eighty-two divisors.
Prime factorization of 12993791169398413721600:
232 × 52 × 11 × 532 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 53 × 53 × 1979 × 1979)See below for interesting mathematical facts about the number 12993791169398413721600 from the Numbermatics database.
Names of 12993791169398413721600
- Cardinal: 12993791169398413721600 can be written as Twelve sextillion, nine hundred ninety-three quintillion, seven hundred ninety-one quadrillion, one hundred sixty-nine trillion, three hundred ninety-eight billion, four hundred thirteen million, seven hundred twenty-one thousand, six hundred.
Scientific notation
- Scientific notation: 1.29937911693984137216 × 1022
Factors of 12993791169398413721600
Divisors of 12993791169398413721600
- Number of divisors d(n): 1782
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 53 55 64 80 88 100 106 110 128 160 176 200 212 220 256 265 275 320 352 400 424 440 512 530 550 583 640 704 800 848 880 1024 1060 1100 1166 1280 1325 1408 1600 1696 1760 1979 2048 2120 2200 2332 2560 2650 2809 2816 2915 3200 3392 3520 3958 4096 4240 4400 4664 5120 5300 5618 5632 5830 6400 6784 7040 7916 8192 8480 8800 9328 9895 10240 10600 11236 11264 11660 12800 13568 14045 14080 14575 15832 16384 16960 17600 18656 19790 20480 21200 21769 22472 22528 23320 25600 27136 28090 28160 29150 30899 31664 32768 33920 35200 37312 39580 40960 42400 43538 44944 45056 46640 49475 51200 54272 56180 56320 58300 61798 63328 65536 67840 70225 70400 74624 79160 81920 84800 87076 89888 90112 93280 98950 102400 104887 108544 108845 112360 112640 116600 123596 126656 131072 135680 140450 140800 149248 154495 158320 163840 169600 174152 179776 180224 186560 197900 204800 209774 217088 217690 224720 225280 233200 247192 253312 262144 271360 280900 281600 298496 308990 316640 327680 339200 348304 359552 360448 373120 395800 409600 419548 434176 435380 449440 450560 466400 494384 506624 524288 524435 542720 544225 561800 563200 596992 617980 633280 655360 678400 696608 719104 720896 746240 772475 791600 819200 839096 868352 870760 898880 901120 932800 988768 1013248 1048576 1048870 1085440 1088450 1123600 1126400 1153757 1193984 1235960 1266560 1310720 1356800 1393216 1438208 1441792 1492480 1544950 1583200 1638400 1678192 1736704 1741520 1797760 1802240 1865600 1977536 2026496 2097152 2097740 2170880 2176900 2247200 2252800 2307514 2387968 2471920 2533120 2621440 2622175 2713600 2786432 2876416 2883584 2984960 3089900 3166400 3276800 3356384 3473408 3483040 3595520 3604480 3731200 3916441 3955072 4052992 4194304 4195480 4341760 4353800 4494400 4505600 4615028 4775936 4943840 5066240 5242880 5244350 5427200 5559011 5572864 5752832 5767168 5768785 5969920 6179800 6332800 6553600 6712768 6946816 6966080 7191040 7208960 7462400 7832882 7910144 8105984 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63446245944328192 65658368718536704 69649395204751360 72098006754918400 72277674269081600 74611782634700800 76614334725226496 79307807430410240 82072960898170880 84104930058567680 87061744005939200 92285448646295552 92515423064424448 95767918406533120 99134759288012800 102591201122713600 105131162573209600 111439032327602176 115356810807869440 115644278830530560 119378852215521280 119709898008166400 123883714563276800 126892491888656384 131316737437073408 139298790409502720 144196013509836800 144555348538163200 149223565269401600 153228669450452992 158615614860820480 164145921796341760 174123488011878400 184570897292591104 185030846128848896 191535836813066240 198269518576025600 205182402245427200 210262325146419200 222878064655204352 230713621615738880 231288557661061120 239419796016332800 253784983777312768 262633474874146816 278597580819005440 288392027019673600 289110697076326400 298447130538803200 306457338900905984 317231229721640960 328291843592683520 348246976023756800 369141794585182208 383071673626132480 396539037152051200 410364804490854400 420524650292838400 445756129310408704 461427243231477760 462577115322122240 478839592032665600 507569967554625536 557195161638010880 576784054039347200 578221394152652800 596894261077606400 612914677801811968 634462459443281920 656583687185367040 696493952047513600 738283589170364416 766143347252264960 793078074304102400 820729608981708800 891512258620817408 922854486462955520 925154230644244480 957679184065331200 1015139935109251072 1114390323276021760 1153568108078694400 1156442788305305600 1225829355603623936 1268924918886563840 1313167374370734080 1392987904095027200 1476567178340728832 1532286694504529920 1586156148608204800 1641459217963417600 1845708972925911040 1915358368130662400 2030279870218502144 2228780646552043520 2307136216157388800 2312885576610611200 2451658711207247872 2537849837773127680 2785975808190054400 2953134356681457664 3064573389009059840 3172312297216409600 3282918435926835200 3691417945851822080 3830716736261324800 4060559740437004288 4457561293104087040 4614272432314777600 4625771153221222400 4903317422414495744 5075699675546255360 5571951616380108800 5906268713362915328 6129146778018119680 6344624594432819200 6565836871853670400 7382835891703644160 7661433472522649600 8121119480874008576 9228544864629555200 9806634844828991488 10151399351092510720 11143903232760217600 11812537426725830656 12258293556036239360 12689249188865638400 14765671783407288320 15322866945045299200 16242238961748017152 18457089729259110400 20302798702185021440 22287806465520435200 23625074853451661312 24516587112072478720 25378498377731276800 29531343566814576640 30645733890090598400 32484477923496034304 36914179458518220800 40605597404370042880 47250149706903322624 49033174224144957440 50756996755462553600 59062687133629153280 61291467780181196800 64968955846992068608 73828358917036441600 81211194808740085760 101513993510925107200 118125374267258306560 122582935560362393600 129937911693984137216 147656717834072883200 162422389617480171520 203027987021850214400 236250748534516613120 245165871120724787200 259875823387968274432 295313435668145766400 324844779234960343040 406055974043700428800 519751646775936548864 590626871336291532800 649689558469920686080 812111948087400857600 1181253742672583065600 1299379116939841372160 1624223896174801715200 2598758233879682744320 3248447792349603430400 6496895584699206860800 12993791169398413721600
- Sum of all divisors σ(n): 35848025519134103744196
- Sum of proper divisors (its aliquot sum) s(n): 22854234349735690022596
- 12993791169398413721600 is an abundant number, because the sum of its proper divisors (22854234349735690022596) is greater than itself. Its abundance is 9860443180337276300996
Bases of 12993791169398413721600
- Binary: 101100000001100101000100111010000010000011000000000000000000000000000000002
- Hexadecimal: 0x2C06513A08300000000
- Base-36: 2468QETTL8DL9FK
Squares and roots of 12993791169398413721600
- 12993791169398413721600 squared (129937911693984137216002) is 168838608953936195955827742594359162306560000
- 12993791169398413721600 cubed (129937911693984137216003) is 2193853626079168089343392838607497432528762471790255009693696000000
-
The
square root of 12993791169398413721600 is 113990311734.8067160799 -
The
cube root of 12993791169398413721600 is 23509602.9378334723
Scales and comparisons
How big is 12993791169398413721600?- 12,993,791,169,398,413,721,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 12,993,791,169,398,413,721,600 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 12993791169398413721600 cubic inches would be around 1959133.6 feet tall.
Recreational maths with 12993791169398413721600
- 12993791169398413721600 backwards is 00612731489396119739921
- The number of decimal digits it has is: 23
- The sum of 12993791169398413721600's digits is 101
- More coming soon!
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"Number 12993791169398413721600 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 12993791169398413721600 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/12993791169398413721600/
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The information we have on file for 12993791169398413721600 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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