21348402684668800
21,348,402,684,668,800 is an even composite number composed of seven prime numbers multiplied together.
What does the number 21348402684668800 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
21348402684668800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 21348402684668800:
27 × 52 × 13 × 37 × 127 × 137 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 37 × 127 × 137 × 797161)See below for interesting mathematical facts about the number 21348402684668800 from the Numbermatics database.
Names of 21348402684668800
- Cardinal: 21348402684668800 can be written as Twenty-one quadrillion, three hundred forty-eight trillion, four hundred two billion, six hundred eighty-four million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.13484026846688 × 1016
Factors of 21348402684668800
Divisors of 21348402684668800
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 37 40 50 52 64 65 74 80 100 104 127 128 130 137 148 160 185 200 208 254 260 274 296 320 325 370 400 416 481 508 520 548 592 635 640 650 685 740 800 832 925 962 1016 1040 1096 1184 1270 1300 1370 1480 1600 1651 1664 1781 1850 1924 2032 2080 2192 2368 2405 2540 2600 2740 2960 3175 3200 3302 3425 3562 3700 3848 4064 4160 4384 4699 4736 4810 5069 5080 5200 5480 5920 6350 6604 6850 7124 7400 7696 8128 8255 8320 8768 8905 9398 9620 10138 10160 10400 10960 11840 12025 12700 13208 13700 14248 14800 15392 16256 16510 17399 17536 17810 18796 19240 20276 20320 20800 21920 23495 23680 24050 25345 25400 26416 27400 28496 29600 30784 33020 34798 35620 37592 38480 40552 40640 41275 41600 43840 44525 46990 48100 50690 50800 52832 54800 56992 59200 61087 61568 65897 66040 69596 71240 75184 76960 81104 81280 82550 86995 87680 89050 93980 96200 101380 101600 105664 109600 113984 117475 118400 122174 126725 131794 132080 139192 142480 150368 153920 162208 165100 173990 178100 187960 192400 202760 203200 211328 219200 226187 227968 234950 244348 253450 263588 264160 278384 284960 300736 305435 307840 324416 329485 330200 347980 356200 375920 384800 405520 406400 434975 438400 452374 469900 488696 506900 527176 528320 556768 569920 601472 610870 643763 648832 658970 660400 695960 712400 751840 769600 797161 811040 869950 904748 939800 977392 1013800 1054352 1056640 1113536 1130935 1139840 1221740 1287526 1317940 1320800 1391920 1424800 1503680 1527175 1539200 1594322 1622080 1647425 1739900 1809496 1879600 1954784 2027600 2108704 2227072 2261870 2443480 2575052 2635880 2641600 2783840 2849600 3007360 3054350 3188644 3218815 3244160 3294850 3479800 3618992 3759200 3909568 3985805 4055200 4217408 4523740 4886960 5150104 5271760 5283200 5567680 5654675 5699200 6108700 6377288 6437630 6589700 6959600 7237984 7518400 7819136 7971610 8110400 8368919 8434816 9047480 9773920 10300208 10363093 10543520 11135360 11309350 12217400 12754576 12875260 13179400 13919200 14475968 15036800 15943220 16094075 16220800 16737838 18094960 19547840 19929025 20600416 20726186 21087040 22618700 24434800 25509152 25750520 26358800 27838400 28951936 29494957 31886440 32188150 33475676 36189920 39095680 39858050 41200832 41452372 41844595 42174080 45237400 48869600 51018304 51501040 51815465 52717600 55676800 58989914 63772880 64376300 66951352 72379840 79716100 82401664 82904744 83689190 90474800 97739200 101239447 102036608 103002080 103630930 105435200 109211057 117979828 127545760 128752600 133902704 144759680 147474785 159432200 165809488 167378380 180949600 195478400 202478894 206004160 207261860 209222975 210870400 218422114 235959656 255091520 257505200 259077325 267805408 294949570 318864400 331618976 334756760 361899200 383434441 404957788 412008320 414523720 418445950 436844228 471919312 506197235 510183040 515010400 518154650 535610816 546055285 589899140 637728800 663237952 669513520 723798400 737373925 766868882 809915576 829047440 836891900 873688456 943838624 1012394470 1030020800 1036309300 1071221632 1092110570 1179798280 1275457600 1316112811 1326475904 1339027040 1419743741 1474747850 1533737764 1619831152 1658094880 1673783800 1747376912 1887677248 1917172205 2024788940 2060041600 2072618600 2184221140 2359596560 2530986175 2550915200 2632225622 2678054080 2730276425 2839487482 2949495700 3067475528 3239662304 3316189760 3347567600 3494753824 3745859539 3775354496 3834344410 4040809109 4049577880 4145237200 4368442280 4719193120 5061972350 5264451244 5356108160 5460552850 5678974964 5898991400 6134951056 6479324608 6580564055 6632379520 6695135200 6989507648 7098718705 7491719078 7668688820 8081618218 8099155760 8290474400 8736884560 9438386240 9585861025 10123944700 10528902488 10921105700 11357949928 11797982800 12269902112 12958649216 13161128110 13390270400 13869804239 13979015296 14197437410 14983438156 15337377640 16163236436 16198311520 16580948800 17473769120 18729297695 18876772480 19171722050 20204045545 20247889400 21057804976 21842211400 22715899856 23595965600 24539804224 26322256220 26780540800 27739608478 28394874820 29966876312 30674755280 32326472872 32396623040 32902820275 33161897600 34947538240 35493593525 37458595390 38343444100 40408091090 40495778800 42115609952 43684422800 45431799712 47191931200 48696174007 49079608448 52530518417 52644512440 55479216956 56789749640 59933752624 61349510560 64652945744 64793246080 65805640550 69349021195 69895076480 70987187050 74917190780 76686888200 80816182180 80991557600 84231219904 87368845600 90863599424 93646488475 94383862400 97392348014 101020227725 105061036834 105289024880 110958433912 113579499280 119867505248 122699021120 129305891488 131611281100 138698042390 141974374100 149834381560 153373776400 161632364360 161983115200 168462439808 174737691200 180307455107 181727198848 187292976950 194784696028 202040455450 210122073668 210578049760 221916867824 227158998560 239735010496 243480870035 245398042240 258611782976 262652592085 263222562200 277396084780 283948748200 299668763120 306747552800 323264728720 323966230400 346745105975 349475382400 360614910214 374585953900 389569392056 404080910900 420244147336 421156099520 443833735648 454317997120 479470020992 486961740070 513182756843 517223565952 525305184170 526445124400 554792169560 567897496400 599337526240 613495105600 646529457440 693490211950 721229820428 749171907800 779138784112 808161821800 840488294672 842312199040 887667471296 901537275535 908635994240 973923480140 1026365513686 1050610368340 1052890248800 1109584339120 1135794992800 1198675052480 1217404350175 1226990211200 1293058914880 1313262960425 1386980423900 1442459640856 1498343815600 1558277568224 1616323643600 1680976589344 1775334942592 1803074551070 1947846960280 2052731027372 2101220736680 2105780497600 2219168678240 2271589985600 2397350104960 2434808700350 2565913784215 2586117829760 2626525920850 2773960847800 2884919281712 2996687631200 3116555136448 3232647287200 3361953178688 3606149102140 3895693920560 4105462054744 4202441473360 4211560995200 4438337356480 4507686377675 4543179971200 4869617400700 5131827568430 5253051841700 5547921695600 5769838563424 5993375262400 6233110272896 6465294574400 6671375838959 6723906357376 7212298204280 7791387841120 8210924109488 8404882946720 8876674712960 9015372755350 9739234801400 10263655136860 10506103683400 11095843391200 11539677126848 11986750524800 12829568921075 12930589148800 13342751677918 14424596408560 15582775682240 16421848218976 16809765893440 18030745510700 19478469602800 20527310273720 21012207366800 22191686782400 23079354253696 25659137842150 26685503355836 28849192817120 31165551364480 32843696437952 33356879194795 33619531786880 36061491021400 38956939205600 41054620547440 42024414733600 44383373564800 51318275684300 53371006711672 57698385634240 65687392875904 66713758389590 72122982042800 77913878411200 82109241094880 84048829467200 102636551368600 106742013423344 115396771268480 133427516779180 144245964085600 155827756822400 164218482189760 166784395973975 168097658934400 205273102737200 213484026846688 266855033558360 288491928171200 328436964379520 333568791947950 410546205474400 426968053693376 533710067116720 576983856342400 667137583895900 821092410948800 853936107386752 1067420134233440 1334275167791800 1642184821897600 2134840268466880 2668550335583600 4269680536933760 5337100671167200 10674201342334400 21348402684668800
- Sum of all divisors σ(n): 59217374825441280
- Sum of proper divisors (its aliquot sum) s(n): 37868972140772480
- 21348402684668800 is an abundant number, because the sum of its proper divisors (37868972140772480) is greater than itself. Its abundance is 16520569456103680
Bases of 21348402684668800
- Binary: 10010111101100001000010010101101000101010101011100000002
- Hexadecimal: 0x4BD842568AAB80
- Base-36: 5U7DKSV118G
Squares and roots of 21348402684668800
- 21348402684668800 squared (213484026846688002) is 455754297186774027286565693440000
- 21348402684668800 cubed (213484026846688003) is 9729626261611468767384522756426072328732672000000
-
The
square root of 21348402684668800 is 146110925.9592478251 -
The
cube root of 21348402684668800 is 277409.7975241299
Scales and comparisons
How big is 21348402684668800?- 21,348,402,684,668,800 seconds is equal to 678,813,170 years, 22 weeks, 1 day, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 21,348,402,684,668,800 would take you about two billion, thirty-six million, four hundred thirty-nine thousand, five hundred eleven 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 21348402684668800 cubic inches would be around 23117.5 feet tall.
Recreational maths with 21348402684668800
- 21348402684668800 backwards is 00886648620484312
- The number of decimal digits it has is: 17
- The sum of 21348402684668800's digits is 70
- More coming soon!
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The information we have on file for 21348402684668800 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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