13681638845642400
13,681,638,845,642,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13681638845642400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
13681638845642400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 13681638845642400:
25 × 3 × 52 × 372 × 1013 × 1451 × 2833
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 37 × 37 × 1013 × 1451 × 2833)See below for interesting mathematical facts about the number 13681638845642400 from the Numbermatics database.
Names of 13681638845642400
- Cardinal: 13681638845642400 can be written as Thirteen quadrillion, six hundred eighty-one trillion, six hundred thirty-eight billion, eight hundred forty-five million, six hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.36816388456424 × 1016
Factors of 13681638845642400
Divisors of 13681638845642400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 74 75 80 96 100 111 120 148 150 160 185 200 222 240 296 300 370 400 444 480 555 592 600 740 800 888 925 1013 1110 1184 1200 1369 1451 1480 1776 1850 2026 2220 2400 2738 2775 2833 2902 2960 3039 3552 3700 4052 4107 4353 4440 5065 5476 5550 5666 5804 5920 6078 6845 7255 7400 8104 8214 8499 8706 8880 10130 10952 11100 11332 11608 12156 13690 14165 14510 14800 15195 16208 16428 16998 17412 17760 20260 20535 21765 21904 22200 22664 23216 24312 25325 27380 28330 29020 29600 30390 32416 32856 33996 34225 34824 36275 37481 40520 41070 42495 43530 43808 44400 45328 46432 48624 50650 53687 54760 56660 58040 60780 65712 67992 68450 69648 70825 72550 74962 75975 81040 82140 84990 87060 88800 90656 97248 101300 102675 104821 107374 108825 109520 112443 113320 116080 121560 131424 135984 136900 139296 141650 145100 149924 151950 161061 162080 164280 169980 174120 187405 202600 205350 209642 212475 214748 217650 219040 224886 226640 232160 243120 268435 271968 273800 283300 290200 299848 303900 314463 322122 328560 339960 348240 374810 405200 410700 419284 424950 429496 435300 449772 453280 486240 524105 536870 547600 562215 566600 580400 599696 607800 628926 644244 657120 679920 696480 749620 805305 810400 821400 838568 849900 858992 870600 899544 937025 1048210 1073740 1095200 1124430 1133200 1160800 1199392 1215600 1257852 1288488 1342175 1359840 1386797 1469863 1499240 1572315 1610610 1642800 1677136 1699800 1717984 1741200 1799088 1874050 1986419 2096420 2147480 2248860 2266400 2431200 2515704 2576976 2620525 2684350 2773594 2811075 2869829 2939726 2998480 3144630 3221220 3285600 3354272 3399600 3482400 3598176 3748100 3878377 3972838 4026525 4110683 4160391 4192840 4294960 4409589 4497720 5031408 5153952 5241050 5368700 5547188 5622150 5739658 5879452 5959257 5996960 6289260 6442440 6799200 6933985 7349315 7496200 7756754 7861575 7945676 8053050 8221366 8320782 8385680 8589920 8609487 8819178 8995440 9932095 10062816 10482100 10737400 11094376 11244300 11479316 11635131 11758904 11918514 12332049 12578520 12884880 13867970 14349145 14698630 14992400 15513508 15723150 15891352 16106100 16442732 16641564 16771360 17218974 17638356 17990880 19391885 19864190 20553415 20801955 20964200 21474800 22047945 22188752 22488600 22958632 23270262 23517808 23837028 24664098 25157040 25769760 27735940 28698290 29397260 29796285 29984800 31027016 31446300 31782704 32212200 32885464 33283128 34437948 34669925 35276712 36746575 38783770 39728380 41106830 41603910 41928400 42949600 43047435 44095890 44377504 44977200 45917264 46540524 47035616 47674056 49328196 49660475 50314080 54384931 55471880 57396580 58175655 58794520 59592570 61660245 62054032 62892600 63565408 64424400 65770928 66566256 68875896 69339850 70553424 71745725 73493150 77567540 79456760 82213660 83207820 83856800 86094870 88191780 89954400 91834528 93081048 95348112 96959425 98656392 99320950 102767075 104009775 106183673 108769862 110239725 110943760 114793160 116351310 117589040 119185140 123320490 124108064 125785200 128848800 131541856 133132512 137751792 138679700 141106848 143491450 146986300 148981425 152095271 155135080 158913520 163154793 164427320 166415640 172189740 176383560 186162096 190696224 193918850 197312784 198641900 205534150 208019550 212367346 215237175 217539724 220479450 221887520 229586320 232702620 235178080 238370280 246640980 251570400 271924655 275503584 277359400 286982900 290878275 293972600 297962850 304190542 308301225 310270160 317827040 318551019 326309586 328854640 332831280 344379480 352767120 372324192 387837700 394625568 397283800 411068300 416039100 424734692 430474350 435079448 440958900 456285813 459172640 465405240 476740560 493281960 530918365 543849310 554718800 573965800 581756550 587945200 595925700 608381084 616602450 620540320 637102038 652619172 657709280 665662560 688758960 705534240 760476355 775675400 794567600 815773965 822136600 832078200 849469384 860948700 870158896 881917800 912571626 930810480 953481120 986563920 1061836730 1087698620 1109437600 1147931600 1163513100 1175890400 1191851400 1216762168 1233204900 1274204076 1305238344 1359623275 1377517920 1520952710 1551350800 1589135200 1592755095 1631547930 1644273200 1664156400 1698938768 1721897400 1740317792 1763835600 1825143252 1861620960 1973127840 2012242447 2123673460 2175397240 2281429065 2295863200 2327026200 2383702800 2433524336 2466409800 2548408152 2610476688 2654591825 2719246550 3041905420 3102701600 3185510190 3263095860 3288546400 3328312800 3397877536 3443794800 3527671200 3650286504 3802381775 3928795901 4024484894 4078869825 4164121879 4247346920 4350794480 4562858130 4654052400 4767405600 4867048672 4932819600 5096816304 5220953376 5309183650 5438493100 5627525027 6036727341 6083810840 6371020380 6526191720 6887589600 7300573008 7604763550 7857591802 7963775475 8048969788 8157739650 8328243758 8494693840 8701588960 9125716260 9308104800 9865639200 10061212235 10193632608 10618367300 10876986200 11255050054 11407145325 11786387703 12073454682 12167621680 12492365637 12742040760 13052383440 14601146016 15209527100 15715183604 15927550950 16097939576 16315479300 16656487516 16882575081 16989387680 18251432520 19643979505 20122424470 20820609395 21236734600 21753972400 22510100108 22814290650 23572775406 24146909364 24335243360 24984731274 25484081520 26104766880 28137625135 30183636705 30419054200 31430367208 31855101900 32195879152 32630958600 33312975032 33765150162 36502865040 39287959010 40244848940 41641218790 42473469200 43507944800 45020200216 45628581300 47145550812 48293818728 49969462548 50306061175 50968163040 56275250270 58931938515 60367273410 60838108400 62461828185 62860734416 63710203800 64391758304 65261917200 66625950064 67530300324 73005730080 78575918020 80489697880 83282437580 84412875405 84946938400 90040400432 91257162600 94291101624 96587637456 98219897525 99938925096 100612122350 104103046975 112550500540 117863877030 120734546820 121676216800 124923656370 125721468832 127420407600 130523834400 133251900128 135060600648 140688125675 150918183525 154072509523 157151836040 160979395760 166564875160 168825750810 180080800864 182514325200 188582203248 193175274912 196439795050 199877850192 201224244700 208206093950 225101001080 235727754060 241469093640 249847312740 254840815200 270121201296 281376251350 294659692575 301836367050 308145019046 312309140925 314303672080 321958791520 333129750320 337651501620 365028650400 377164406496 392879590100 399755700384 402448489400 416412187900 422064377025 450202002160 462217528569 471455508120 482938187280 499694625480 540242402592 562752502700 589319385150 603672734100 616290038092 624618281850 628607344160 666259500640 675303003240 770362547615 785759180200 804896978800 832824375800 844128754050 900404004320 924435057138 942911016240 965876374560 999389250960 1125505005400 1178638770300 1207345468200 1232580076184 1249236563700 1350606006480 1540725095230 1571518360400 1609793957600 1665648751600 1688257508100 1848870114276 1885822032480 1998778501920 2251010010800 2311087642845 2357277540600 2414690936400 2465160152368 2498473127400 2701212012960 3081450190460 3143036720800 3331297503200 3376515016200 3697740228552 3851812738075 4502020021600 4622175285690 4714555081200 4829381872800 4930320304736 4996946254800 5700682852351 6162900380920 6753030032400 7395480457104 7703625476150 9244350571380 9429110162400 9993892509600 11401365704702 11555438214225 12325800761840 13506060064800 14790960914208 15407250952300 17102048557053 18488701142760 22802731409404 23110876428450 24651601523680 28503414261755 30814501904600 34204097114106 36977402285520 45605462818808 46221752856900 57006828523510 61629003809200 68408194228212 73954804571040 85510242785265 91210925637616 92443505713800 114013657047020 123258007618400 136816388456424 142517071308775 171020485570530 182421851275232 184887011427600 228027314094040 273632776912848 285034142617550 342040971141060 369774022855200 427551213926325 456054628188080 547265553825696 570068285235100 684081942282120 855102427852650 912109256376160 1140136570470200 1368163884564240 1710204855705300 2280273140940400 2736327769128480 3420409711410600 4560546281880800 6840819422821200 13681638845642400
- Sum of all divisors σ(n): 45862819401567168
- Sum of proper divisors (its aliquot sum) s(n): 32181180555924768
- 13681638845642400 is an abundant number, because the sum of its proper divisors (32181180555924768) is greater than itself. Its abundance is 18499541710282368
Bases of 13681638845642400
- Binary: 1100001001101101100000110001110101011011110110101000002
- Hexadecimal: 0x309B60C756F6A0
- Base-36: 3QPQI478YAO
Squares and roots of 13681638845642400
- 13681638845642400 squared (136816388456424002) is 187187241502591103613468677760000
- 13681638845642400 cubed (136816388456424003) is 2561028234750495695290717451793295865793024000000
-
The
square root of 13681638845642400 is 116968537.8451932261 -
The
cube root of 13681638845642400 is 239173.3064037369
Scales and comparisons
How big is 13681638845642400?- 13,681,638,845,642,400 seconds is equal to 435,033,795 years, 10 weeks, 4 days, 4 hours, 40 minutes.
-
To count from 1 to 13,681,638,845,642,400 would take you about one billion, three hundred five million, one hundred one thousand, three hundred eighty-five 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 13681638845642400 cubic inches would be around 19931.1 feet tall.
Recreational maths with 13681638845642400
- 13681638845642400 backwards is 00424654883618631
- The number of decimal digits it has is: 17
- The sum of 13681638845642400's digits is 69
- More coming soon!
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The information we have on file for 13681638845642400 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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