13032816308870400
13,032,816,308,870,400 is an even composite number composed of seven prime numbers multiplied together.
13032816308870400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 13032816308870400:
28 × 32 × 52 × 7 × 312 × 307 × 3312
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 31 × 31 × 307 × 331 × 331)See below for interesting mathematical facts about the number 13032816308870400 from the Numbermatics database.
Names of 13032816308870400
- Cardinal: 13032816308870400 can be written as Thirteen quadrillion, thirty-two trillion, eight hundred sixteen billion, three hundred eight million, eight hundred seventy thousand, four hundred.
Scientific notation
- Scientific notation: 1.30328163088704 × 1016
Factors of 13032816308870400
Divisors of 13032816308870400
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 62 63 64 70 72 75 80 84 90 93 96 100 105 112 120 124 126 128 140 144 150 155 160 168 175 180 186 192 200 210 217 224 225 240 248 252 256 279 280 288 300 307 310 315 320 331 336 350 360 372 384 400 420 434 448 450 465 480 496 504 525 558 560 576 600 614 620 630 640 651 662 672 700 720 744 768 775 800 840 868 896 900 921 930 960 961 992 993 1008 1050 1085 1116 1120 1152 1200 1228 1240 1260 1280 1302 1324 1344 1395 1400 1440 1488 1535 1550 1575 1600 1655 1680 1736 1792 1800 1842 1860 1920 1922 1953 1984 1986 2016 2100 2149 2170 2232 2240 2304 2317 2325 2400 2456 2480 2520 2604 2648 2688 2763 2790 2800 2880 2883 2976 2979 3070 3100 3150 3200 3255 3310 3360 3472 3600 3684 3720 3840 3844 3906 3968 3972 4032 4200 4298 4340 4464 4480 4605 4634 4650 4800 4805 4912 4960 4965 5040 5208 5296 5376 5425 5526 5580 5600 5760 5766 5952 5958 6140 6200 6300 6400 6447 6510 6620 6720 6727 6944 6951 6975 7200 7368 7440 7675 7688 7812 7936 7944 8064 8275 8400 8596 8649 8680 8928 8960 9210 9268 9300 9517 9600 9610 9765 9824 9920 9930 10080 10261 10416 10592 10745 10850 11052 11160 11200 11520 11532 11585 11904 11916 12280 12400 12600 12894 13020 13240 13440 13454 13815 13888 13902 13950 14400 14415 14736 14880 14895 15350 15376 15624 15888 16128 16275 16550 16800 17192 17298 17360 17856 18420 18536 18600 19034 19200 19220 19341 19530 19648 19840 19860 20160 20181 20522 20832 20853 21184 21490 21700 22104 22320 22400 23025 23064 23170 23808 23832 24025 24560 24800 24825 25200 25788 26040 26480 26880 26908 27630 27776 27804 27900 28551 28800 28830 29472 29760 29790 30700 30752 30783 31248 31776 32235 32550 33100 33600 33635 34384 34596 34720 34755 35712 36840 37072 37200 38068 38440 38682 39060 39296 39680 39720 40320 40362 41044 41664 41706 42368 42980 43245 43400 44208 44640 44800 46050 46128 46340 47585 47664 48050 48825 49120 49600 49650 50400 51305 51576 52080 52960 53725 53816 55260 55552 55608 55800 57102 57600 57660 57925 58944 59520 59580 60543 61400 61504 61566 62496 63552 64470 65100 66200 66619 67200 67270 68768 69075 69192 69440 69510 71424 71827 72075 73680 74144 74400 74475 76136 76880 77364 78120 78592 79440 80640 80724 82088 83328 83412 84736 85653 85960 86490 86800 88416 89280 92100 92256 92349 92680 95170 95328 96100 96705 97650 98240 99200 99300 100800 100905 101617 102610 103152 104160 104265 105920 107450 107632 109561 110520 111216 111600 114204 115320 115850 117888 119040 119160 121086 122800 123008 123132 124992 127104 128940 130200 132400 133238 134400 134540 137536 138150 138384 138880 139020 142755 143654 144150 147360 148288 148800 148950 152272 153760 153915 154728 156240 158880 161175 161448 164176 166656 166824 168175 171306 171920 172980 173600 173775 176832 178560 184200 184512 184698 185360 190340 190656 192200 193410 195300 196480 198400 198600 199857 201600 201810 203234 205220 206304 208320 208530 211840 214900 215264 215481 216225 219122 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467126032576 468738897600 469211416650 471690782080 484347268800 484851797205 492175842480 500492177760 505382980800 517175250352 524987565312 525516786648 530652129840 542468941056 546862047200 547413319425 562486677120 565071813600 566028938496 581822156646 583907540720 589613477600 600590613312 606459576960 615219803100 624985196800 625615222200 635065603200 645796358400 646469062940 656234456640 656895983310 663315162300 667322903680 673843974400 678086176320 678792516087 684712425600 700689048864 703108346400 707536173120 729884425900 750738266640 753429084800 758074471200 775762875528 787481347968 800787484416 808086328675 820293070800 834153629600 847607720400 849043407744 874979275520 875861311080 884420216400 904114901760 905056688116 934252065152 937477795200 938422833300 943381564160 968694537600 969703594410 984351684960 1000984355520 1010765961600 1034350500704 1051033573296 1061304259680 1093724094400 1094826638850 1124973354240 1130143627200 1131320860145 1163644313292 1167815081440 1179226955200 1201181226624 1212919153920 1230439606200 1251230444400 1270131206400 1292938125880 1312468913280 1313791966620 1326630324600 1334645807360 1356172352640 1357585032174 1369424851200 1401378097728 1406216692800 1415072346240 1454555391615 1459768851800 1501476533280 1506858169600 1516148942400 1551525751056 1574962695936 1616172657350 1640586141600 1642239958275 1668307259200 1695215440800 1698086815488 1751722622160 1768840432800 1810113376232 1868504130304 1874955590400 1876845666600 1937389075200 1939407188820 1968703369920 2001968711040 2021531923200 2036377548261 2068701001408 2102067146592 2122608519360 2187448188800 2189653277700 2260287254400 2262641720290 2327288626584 2335630162880 2358453910400 2402362453248 2424258986025 2460879212400 2502460888800 2585876251760 2624937826560 2627583933240 2653260649200 2712344705280 2715170064348 2802756195456 2812433385600 2830144692480 2909110783230 2919537703600 3002953066560 3032297884800 3103051502112 3232345314700 3281172283200 3284479916550 3336614518400 3390430881600 3393962580435 3503445244320 3537680865600 3620226752464 3753691333200 3878814377640 3937406739840 4003937422080 4072755096522 4137402002816 4204134293184 4245217038720 4374896377600 4379306555400 4520574508800 4525283440580 4654577253168 4671260325760 4716907820800 4848517972050 4921758424800 5004921777600 5171752503520 5255167866480 5306521298400 5430340128696 5605512390912 5624866771200 5656604300725 5818221566460 5839075407200 6005906133120 6064595769600 6206103004224 6464690629400 6562344566400 6568959833100 6673229036800 6780861763200 6787925160870 7006890488640 7075361731200 7240453504928 7272776958075 7507382666400 7757628755280 7874813479680 8145510193044 8274804005632 8408268586368 8490434077440 8758613110800 9050566881160 9309154506336 9342520651520 9697035944100 9843516849600 10009843555200 10181887741305 10343505007040 10510335732960 10613042596800 10860680257392 11313208601450 11636443132920 11678150814400 12011812266240 12412206008448 12929381258800 13124689132800 13137919666200 13561723526400 13575850321740 14013780977280 14150723462400 14480907009856 14545553916150 15014765332800 15515257510560 16291020386088 16816537172736 16969812902175 17517226221600 18101133762320 18618309012672 19394071888200 19687033699200 20019687110400 20363775482610 20687010014080 21020671465920 21226085193600 21721360514784 22626417202900 23272886265840 23356301628800 24824412016896 25858762517600 26275839332400 27151700643480 28027561954560 28961814019712 29091107832300 30029530665600 31030515021120 32582040772176 33939625804350 35034452443200 36202267524640 37236618025344 38788143776400 39374067398400 40727550965220 41374020028160 42041342931840 42452170387200 43442721029568 45252834405800 46545772531680 46712603257600 50909438706525 51717525035200 52551678664800 54303401286960 57923628039424 58182215664600 60059061331200 62061030042240 65164081544352 67879251608700 70068904886400 72404535049280 74473236050688 77576287552800 81455101930440 84082685863680 86885442059136 90505668811600 93091545063360 101818877413050 103435050070400 105103357329600 108606802573920 116364431329200 124122060084480 130328163088704 135758503217400 140137809772800 144809070098560 155152575105600 162910203860880 173770884118272 181011337623200 186183090126720 203637754826100 206870100140800 210206714659200 217213605147840 232728862658400 260656326177408 271517006434800 289618140197120 310305150211200 325820407721760 362022675246400 372366180253440 407275509652200 420413429318400 434427210295680 465457725316800 521312652354816 543034012869600 620610300422400 651640815443520 724045350492800 814551019304400 868854420591360 930915450633600 1086068025739200 1303281630887040 1448090700985600 1629102038608800 1861830901267200 2172136051478400 2606563261774080 3258204077217600 4344272102956800 6516408154435200 13032816308870400
- Sum of all divisors σ(n): 55371453990941088
- Sum of proper divisors (its aliquot sum) s(n): 42338637682070688
- 13032816308870400 is an abundant number, because the sum of its proper divisors (42338637682070688) is greater than itself. Its abundance is 29305821373200288
Bases of 13032816308870400
- Binary: 1011100100110101000111000000101000001101011101000000002
- Hexadecimal: 0x2E4D4702835D00
- Base-36: 3KBQX5OYF40
Squares and roots of 13032816308870400
- 13032816308870400 squared (130328163088704002) is 169854300940758277493723996160000
- 13032816308870400 cubed (130328163088704003) is 2213679903432495404345031469535514743537664000000
-
The
square root of 13032816308870400 is 114161360.8401301425 -
The
cube root of 13032816308870400 is 235331.1541276617
Scales and comparisons
How big is 13032816308870400?- 13,032,816,308,870,400 seconds is equal to 414,403,245 years, 24 weeks, 4 days, 16 hours.
-
To count from 1 to 13,032,816,308,870,400 would take you about one billion, two hundred forty-three million, two hundred nine thousand, seven 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 13032816308870400 cubic inches would be around 19610.9 feet tall.
Recreational maths with 13032816308870400
- 13032816308870400 backwards is 00407880361823031
- The number of decimal digits it has is: 17
- The sum of 13032816308870400's digits is 54
- More coming soon!
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"Number 13032816308870400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
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Numbermatics. (2024). Number 13032816308870400 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/13032816308870400/
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Numbermatics. 2024. "Number 13032816308870400 - Facts about the integer". https://numbermatics.com/n/13032816308870400/
The information we have on file for 13032816308870400 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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