30406385320128000
30,406,385,320,128,000 is an even composite number composed of four prime numbers multiplied together.
30406385320128000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, eight hundred divisors.
Prime factorization of 30406385320128000:
29 × 39 × 53 × 176
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 17 × 17 × 17 × 17 × 17 × 17)See below for interesting mathematical facts about the number 30406385320128000 from the Numbermatics database.
Names of 30406385320128000
- Cardinal: 30406385320128000 can be written as Thirty quadrillion, four hundred six trillion, three hundred eighty-five billion, three hundred twenty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 3.0406385320128 × 1016
Factors of 30406385320128000
Divisors of 30406385320128000
- Number of divisors d(n): 2800
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 40 45 48 50 51 54 60 64 68 72 75 80 81 85 90 96 100 102 108 120 125 128 135 136 144 150 153 160 162 170 180 192 200 204 216 225 240 243 250 255 256 270 272 288 289 300 306 320 324 340 360 375 384 400 405 408 425 432 450 459 480 486 500 510 512 540 544 576 578 600 612 640 648 675 680 720 729 750 765 768 800 810 816 850 864 867 900 918 960 972 1000 1020 1080 1088 1125 1152 1156 1200 1215 1224 1275 1280 1296 1350 1360 1377 1440 1445 1458 1500 1530 1536 1600 1620 1632 1700 1728 1734 1800 1836 1920 1944 2000 2025 2040 2125 2160 2176 2187 2250 2295 2304 2312 2400 2430 2448 2550 2560 2592 2601 2700 2720 2754 2880 2890 2916 3000 3060 3200 3240 3264 3375 3400 3456 3468 3600 3645 3672 3825 3840 3888 4000 4050 4080 4131 4250 4320 4335 4352 4374 4500 4590 4608 4624 4800 4860 4896 4913 5100 5184 5202 5400 5440 5508 5760 5780 5832 6000 6075 6120 6375 6400 6480 6528 6561 6750 6800 6885 6912 6936 7200 7225 7290 7344 7650 7680 7776 7803 8000 8100 8160 8262 8500 8640 8670 8704 8748 9000 9180 9248 9600 9720 9792 9826 10125 10200 10368 10404 10800 10880 10935 11016 11475 11520 11560 11664 12000 12150 12240 12393 12750 12800 12960 13005 13056 13122 13500 13600 13770 13824 13872 14400 14450 14580 14688 14739 15300 15552 15606 16000 16200 16320 16524 17000 17280 17340 17496 18000 18225 18360 18496 19125 19200 19440 19584 19652 19683 20250 20400 20655 20736 20808 21600 21675 21760 21870 22032 22950 23040 23120 23328 23409 24000 24300 24480 24565 24786 25500 25920 26010 26112 26244 27000 27200 27540 27744 28800 28900 29160 29376 29478 30375 30600 31104 31212 32000 32400 32640 32805 33048 34000 34425 34560 34680 34992 36000 36125 36450 36720 36992 37179 38250 38400 38880 39015 39168 39304 39366 40500 40800 41310 41472 41616 43200 43350 43520 43740 44064 44217 45900 46240 46656 46818 48000 48600 48960 49130 49572 51000 51840 52020 52488 54000 54400 54675 55080 55488 57375 57600 57800 58320 58752 58956 60750 61200 61965 62208 62424 64000 64800 65025 65280 65610 66096 68000 68850 69120 69360 69984 70227 72000 72250 72900 73440 73695 73984 74358 76500 77760 78030 78336 78608 78732 81000 81600 82620 83232 83521 86400 86700 87480 88128 88434 91125 91800 92480 93312 93636 96000 97200 97920 98260 98415 99144 102000 103275 103680 104040 104976 108000 108375 108800 109350 110160 110976 111537 114750 115200 115600 116640 117045 117504 117912 121500 122400 122825 123930 124416 124848 129600 130050 130560 131220 132192 132651 136000 137700 138720 139968 140454 144000 144500 145800 146880 147390 147968 148716 153000 155520 156060 157216 157464 162000 163200 164025 165240 166464 167042 172125 172800 173400 174960 176256 176868 182250 183600 184960 185895 186624 187272 192000 194400 195075 195840 196520 196830 198288 204000 206550 207360 208080 209952 210681 216000 216750 217600 218700 220320 221085 221952 223074 229500 231200 233280 234090 235008 235824 243000 244800 245650 247860 249696 250563 259200 260100 262440 264384 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736053868800 745254542160 750774946176 772402208000 773620632000 776306814750 779351155200 782057235600 791832951045 794938178304 817837632000 821971921500 828060602400 834194384640 841699247616 844621814448 868952484000 876770049600 879814390050 883264642560 894305450592 920067336000 926882649600 931568177700 938468682720 950199541254 974188944000 977571544500 993672722880 1001033261568 1031494176000 1035075753000 1042742980800 1052124059520 1055777268060 1095962562000 1104080803200 1117881813240 1126162419264 1158603312000 1164460222125 1169026732800 1173085853400 1192407267456 1226756448000 1237793011200 1242090903600 1251291576960 1266932721672 1298918592000 1303428726000 1315155074400 1319721585075 1324896963840 1380101004000 1390323974400 1397352266550 1402832079360 1407703024080 1461283416000 1466357316750 1472107737600 1490509084320 1501549892352 1544804416000 1547241264000 1552613629500 1564114471200 1583665902090 1589876356608 1643943843000 1656121204800 1668388769280 1689243628896 1737904968000 1753540099200 1759628780100 1788610901184 1840134672000 1863136355400 1876937365440 1900399082508 1948377888000 1955143089000 1987345445760 2062988352000 2070151506000 2085485961600 2104248119040 2111554536120 2191925124000 2199535975125 2208161606400 2235763626480 2252324838528 2317206624000 2328920444250 2338053465600 2346171706800 2375498853135 2384814534912 2453512896000 2484181807200 2502583153920 2533865443344 2606857452000 2630310148800 2639443170150 2649793927680 2760202008000 2780647948800 2794704533100 2815406048160 2922566832000 2932714633500 2981018168640 3003099784704 3094482528000 3105227259000 3128228942400 3167331804180 3287887686000 3312242409600 3378487257792 3475809936000 3493380666375 3507080198400 3519257560200 3577221802368 3680269344000 3726272710800 3753874730880 3800798165016 3896755776000 3910286178000 3959164755225 3974690891520 4140303012000 4170971923200 4208496238080 4223109072240 4383850248000 4399071950250 4416323212800 4471527252960 4504649677056 4634413248000 4657840888500 4692343413600 4750997706270 4769629069824 4968363614400 5005166307840 5067730886688 5213714904000 5260620297600 5278886340300 5520404016000 5589409066200 5630812096320 5845133664000 5865429267000 5962036337280 6188965056000 6210454518000 6256457884800 6334663608360 6575775372000 6598607925375 6624484819200 6756974515584 6951619872000 6986761332750 7014160396800 7038515120400 7154443604736 7360538688000 7452545421600 7507749461760 7601596330032 7820572356000 7918329510450 7949381783040 8280606024000 8341943846400 8446218144480 8767700496000 8798143900500 8943054505920 9009299354112 9315681777000 9384686827200 9501995412540 9936727228800 10135461773376 10427429808000 10521240595200 10557772680600 11040808032000 11178818132400 11261624192640 11690267328000 11730858534000 11877494265675 11924072674560 12420909036000 12512915769600 12669327216720 13151550744000 13197215850750 13248969638400 13513949031168 13903239744000 13973522665500 14077030240800 14308887209472 14905090843200 15015498923520 15203192660064 15641144712000 15836659020900 16561212048000 16892436288960 17535400992000 17596287801000 17886109011840 18631363554000 18769373654400 19003990825080 19795823776125 19873454457600 20270923546752 20854859616000 21042481190400 21115545361200 22081616064000 22357636264800 22523248385280 23461717068000 23754988531350 23848145349120 24841818072000 25025831539200 25338654433440 26303101488000 26394431701500 27027898062336 27947045331000 28154060481600 29810181686400 30406385320128 31282289424000 31673318041800 33122424096000 33784872577920 35070801984000 35192575602000 35772218023680 37262727108000 37538747308800 38007981650160 39591647552250 39746908915200 40541847093504 41709719232000 42231090722400 44715272529600 45046496770560 46923434136000 47509977062700 49683636144000 50677308866880 52606202976000 52788863403000 55894090662000 56308120963200 59387471328375 59620363372800 60812770640256 62564578848000 63346636083600 66244848192000 67569745155840 70385151204000 71544436047360 74525454216000 75077494617600 76015963300320 79183295104500 81083694187008 84462181444800 89430545059200 93846868272000 95019954125400 99367272288000 101354617733760 105212405952000 105577726806000 111788181324000 112616241926400 118774942656750 119240726745600 121625541280512 125129157696000 126693272167200 135139490311680 140770302408000 149050908432000 152031926600640 158366590209000 168924362889600 178861090118400 187693736544000 190039908250800 198734544576000 202709235467520 211155453612000 223576362648000 225232483852800 237549885313500 243251082561024 253386544334400 281540604816000 298101816864000 304063853201280 316733180418000 337848725779200 357722180236800 375387473088000 380079816501600 405418470935040 422310907224000 447152725296000 475099770627000 506773088668800 563081209632000 596203633728000 608127706402560 633466360836000 675697451558400 760159633003200 844621814448000 894305450592000 950199541254000 1013546177337600 1126162419264000 1216255412805120 1266932721672000 1520319266006400 1689243628896000 1788610901184000 1900399082508000 2027092354675200 2533865443344000 3040638532012800 3378487257792000 3800798165016000 5067730886688000 6081277064025600 7601596330032000 10135461773376000 15203192660064000 30406385320128000
- Sum of all divisors σ(n): 120836432418262704
- Sum of proper divisors (its aliquot sum) s(n): 90430047098134704
- 30406385320128000 is an abundant number, because the sum of its proper divisors (90430047098134704) is greater than itself. Its abundance is 60023661778006704
Bases of 30406385320128000
- Binary: 11011000000011001110010010000111110100011101110000000002
- Hexadecimal: 0x6C067243E8EE00
- Base-36: 8BE5WKU0000
Squares and roots of 30406385320128000
- 30406385320128000 squared (304063853201280002) is 924548268236095537041936384000000
- 30406385320128000 cubed (304063853201280003) is 28112170891043779809963670919572850737152000000000
-
The
square root of 30406385320128000 is 174374267.9414826963 -
30406385320128000 is a
perfect cube number . Itscube root is 312120 - Being both a perfect square and a perfect cube, 30406385320128000 is also a
perfect sixth number .
Scales and comparisons
How big is 30406385320128000?- 30,406,385,320,128,000 seconds is equal to 966,829,000 years, 2 weeks, 6 days.
-
To count from 1 to 30,406,385,320,128,000 would take you about two billion, nine hundred million, four hundred eighty-seven thousand 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 30406385320128000 cubic inches would be around 26010 feet tall.
Recreational maths with 30406385320128000
- 30406385320128000 backwards is 00082102358360403
- 30406385320128000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 30406385320128000's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 30406385320128000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 30406385320128000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/30406385320128000/
Chicago style:
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The information we have on file for 30406385320128000 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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