138743898149620800
138,743,898,149,620,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138743898149620800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1512 divisors.
138743898149620800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 138743898149620800:
26 × 35 × 52 × 23 × 157 × 99412
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 23 × 157 × 9941 × 9941)See below for interesting mathematical facts about the number 138743898149620800 from the Numbermatics database.
Names of 138743898149620800
- Cardinal: 138743898149620800 can be written as One hundred thirty-eight quadrillion, seven hundred forty-three trillion, eight hundred ninety-eight billion, one hundred forty-nine million, six hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.387438981496208 × 1017
Factors of 138743898149620800
Divisors of 138743898149620800
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 25 27 30 32 36 40 45 46 48 50 54 60 64 69 72 75 80 81 90 92 96 100 108 115 120 135 138 144 150 157 160 162 180 184 192 200 207 216 225 230 240 243 270 276 288 300 314 320 324 345 360 368 400 405 414 432 450 460 471 480 486 540 552 575 576 600 621 628 648 675 690 720 736 785 800 810 828 864 900 920 942 960 972 1035 1080 1104 1150 1200 1215 1242 1256 1296 1350 1380 1413 1440 1472 1570 1600 1620 1656 1725 1728 1800 1840 1863 1884 1944 2025 2070 2160 2208 2300 2355 2400 2430 2484 2512 2592 2700 2760 2826 2880 3105 3140 3240 3312 3450 3600 3611 3680 3726 3768 3888 3925 4050 4140 4239 4320 4416 4600 4710 4800 4860 4968 5024 5175 5184 5400 5520 5589 5652 6075 6210 6280 6480 6624 6900 7065 7200 7222 7360 7452 7536 7776 7850 8100 8280 8478 8640 9200 9315 9420 9720 9936 9941 10048 10350 10800 10833 11040 11178 11304 11775 12150 12420 12560 12717 12960 13248 13800 14130 14400 14444 14904 15072 15525 15552 15700 16200 16560 16956 18055 18400 18630 18840 19440 19872 19882 20700 21195 21600 21666 22080 22356 22608 23550 24300 24840 25120 25434 25920 27600 27945 28260 28888 29808 29823 30144 31050 31400 32400 32499 33120 33912 35325 36110 36800 37260 37680 38151 38880 39744 39764 41400 42390 43200 43332 44712 45216 46575 47100 48600 49680 49705 50240 50868 54165 55200 55890 56520 57776 59616 59646 62100 62800 63585 64800 64998 66240 67824 70650 72220 74520 75360 76302 77760 79528 82800 84780 86664 89424 89469 90275 90432 93150 94200 97200 97497 99360 99410 101736 105975 108330 110400 111780 113040 115552 119232 119292 124200 125600 127170 129600 129996 135648 139725 141300 144440 149040 149115 150720 152604 159056 162495 165600 169560 173328 178848 178938 180550 186300 188400 190755 194400 194994 198720 198820 203472 211950 216660 223560 226080 228643 231104 238584 248400 248525 251200 254340 259992 268407 270825 271296 279450 282600 288880 292491 298080 298230 305208 317925 318112 324990 331200 339120 346656 357696 357876 361100 372600 376800 381510 388800 389988 397640 406944 423900 433320 447120 447345 452160 457286 477168 487485 496800 497050 508680 519984 536814 541650 558900 565200 577760 584982 596160 596460 610416 635850 636224 649980 678240 685929 693312 715752 722200 745200 745575 753600 763020 779976 795280 805221 812475 813888 847800 866640 877473 894240 894690 914572 953775 954336 974970 993600 994100 1017360 1039968 1073628 1083300 1117800 1130400 1143215 1155520 1169964 1192920 1220832 1271700 1299960 1342035 1356480 1371858 1431504 1444400 1462455 1490400 1491150 1526040 1559952 1560737 1590560 1610442 1624950 1695600 1733280 1754946 1788480 1789380 1829144 1907550 1908672 1949940 1988200 2034720 2057787 2079936 2147256 2166600 2235600 2236725 2260800 2286430 2339928 2385840 2415663 2437425 2441664 2543400 2599920 2684070 2743716 2863008 2888800 2924910 2980800 2982300 3052080 3119904 3121474 3181120 3220884 3249900 3391200 3429645 3466560 3509892 3578760 3658288 3815100 3899880 3976400 4026105 4069440 4115574 4294512 4333200 4387365 4471200 4473450 4572860 4679856 4682211 4771680 4831326 4874850 5086800 5199840 5368140 5487432 5716075 5726016 5777600 5849820 5964600 6104160 6173361 6239808 6242948 6441768 6499800 6710175 6782400 6859290 7019784 7157520 7312275 7316576 7630200 7799760 7803685 7952800 8052210 8231148 8589024 8666400 8774730 8942400 8946900 9145720 9359712 9364422 9543360 9662652 9749700 10173600 10288935 10399680 10736280 10974864 11432150 11699640 11929200 12078315 12208320 12346722 12485896 12883536 12999600 13420350 13718580 14039568 14046633 14315040 14624550 14633152 15260400 15599520 15607370 15905600 16104420 16462296 17148225 17178048 17332800 17549460 17893800 18291440 18520083 18719424 18728844 19325304 19499400 20130525 20347200 20577870 21472560 21936825 21949728 22864300 23399280 23411055 23858400 24156630 24693444 24971792 25767072 25999200 26840700 27437160 28079136 28093266 28630080 29249100 30520800 30866805 31199040 31214740 32208840 32924592 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151703636400 155074828320 155152865170 158117569600 160094039220 163651684536 170470504725 170766975168 172305364800 174459181860 177882265800 181835205040 184108145103 186089793984 186183438204 192112847064 193843535400 200117549025 202271515200 204564605670 213458718960 218073977325 218202246048 227294006300 232612242480 232729297755 237176354400 240141058830 245477526804 248244584272 256150462752 258458047200 266823398700 272752807560 279134690976 279275157306 284611625280 290765303100 303407272800 306846908505 310149656640 310305730340 320188078440 327303369072 340941009450 348918363720 355764531600 356851589891 363670410080 368216290206 372366876408 384225694128 387687070800 387882162925 400235098050 409129211340 418912735959 426917437920 436147954650 436404492096 454588012600 465224484960 465458595510 474352708800 480282117660 490955053608 496489168544 511411514175 512300925504 516916094400 533646797400 545505615120 552324435309 558269381952 558550314612 581530606200 600352647075 606814545600 613693817010 620611460680 640376156880 654606738144 681882018900 697836727440 698187893265 711529063200 713703179782 727340820160 736432580412 744733752816 768451388256 775374141600 775764325850 800470196100 818258422680 837825471918 853834875840 872295909300 909176025200 920540725515 930448969920 930917191020 960564235320 981910107216 992978337088 1022823028350 1067293594800 1070554769673 1091011230240 1104648870618 1117100629224 1163061212400 1163646488775 1200705294150 1227387634020 1241222921360 1256738207877 1280752313760 1309213476288 1363764037800 1395673454880 1396375786530 1423058126400 1427406359564 1472865160824 1489467505632 1534234542525 1536902776512 1550748283200 1551528651700 1600940392200 1636516845360 1675650943836 1744591818600 1784257949455 1818352050400 1841081451030 1861834382040 1921128470640 1963820214432 2045646056700 2094563679795 2134587189600 2141109539346 2182022460480 2209297741236 2234201258448 2326122424800 2327292977550 2401410588300 2454775268040 2482445842720 2513476415754 2561504627520 2727528075600 2761622176545 2791346909760 2792751573060 2854812719128 2945730321648 2978935011264 3068469085050 3103057303400 3201880784400 3211664309019 3273033690720 3351301887672 3489183637200 3490939466325 3568515898910 3636704100800 3682162902060 3723668764080 3770214623631 3842256941280 3927640428864 4091292113400 4189127359590 4269174379200 4282219078692 4418595482472 4468402516896 4602703627575 4652244849600 4654585955100 4802821176600 4909550536080 4964891685440 5026952831508 5352773848365 5455056151200 5523244353090 5585503146120 5709625438256 5891460643296 6136938170100 6206114606800 6283691039385 6403761568800 6423328618038 6546067381440 6702603775344 6978367274400 6981878932650 7137031797820 7364325804120 7447337528160 7540429247262 7684513882560 8182584226800 8378254719180 8564438157384 8837190964944 8921289747275 8936805033792 9205407255150 9309171910200 9605642353200 9634992927057 9819101072160 10053905663016 10472818398975 10705547696730 10910112302400 11046488706180 11171006292240 11419250876512 11782921286592 12273876340200 12412229213600 12567382078770 12807523137600 12846657236076 13405207550688 13808110882725 13956734548800 13963757865300 14274063595640 14728651608240 14894675056320 15080858494524 16058321545095 16365168453600 16756509438360 17128876314768 17674381929888 17842579494550 18410814510300 18618343820400 18851073118155 19211284706400 19269985854114 19638202144320 20107811326032 20945636797950 21411095393460 22092977412360 22342012584480 22838501753024 24547752680400 24824458427200 25134764157540 25693314472152 26763869241825 26810415101376 27616221765450 27927515730600 28548127191280 28904978781171 29457303216480 30161716989048 31418455196925 32116643090190 32730336907200 33513018876720 34257752629536 35348763859776 35685158989100 36821629020600 37236687640800 37702146236310 38422569412800 38539971708228 40215622652064 41891273595900 42822190786920 44185954824720 44684025168960 48174964635285 49095505360800 50269528315080 51386628944304 53527738483650 55232443530900 55855031461200 57096254382560 57809957562342 58914606432960 60323433978096 62836910393850 64233286180380 67026037753440 68515505259072 71370317978200 73643258041200 74473375281600 75404292472620 77079943416456 80291607725475 80431245304128 83782547191800 85644381573840 86714936343513 88371909649440 94255365590775 96349929270570 98191010721600 100539056630160 102773257888608 107055476967300 110464887061800 111710062922400 114192508765120 115619915124684 120646867956192 125673820787700 128466572360760 134052075506880 142740635956400 144524893905855 147286516082400 150808584945240 154159886832912 160583215450950 167565094383600 171288763147680 173429872687026 176743819298880 188510731181550 192699858541140 201078113260320 205546515777216 214110953934600 220929774123600 223420125844800 231239830249368 240874823176425 241293735912384 251347641575400 256933144721520 285481271912800 289049787811710 294573032164800 301617169890480 308319773665824 321166430901900 335130188767200 342577526295360 346859745374052 377021462363100 385399717082280 402156226520640 428221907869200 433574681717565 441859548247200 462479660498736 481749646352850 502695283150800 513866289443040 570962543825600 578099575623420 603234339780960 616639547331648 642332861803800 670260377534400 693719490748104 722624469529275 754042924726200 770799434164560 856443815738400 867149363435130 883719096494400 924959320997472 963499292705700 1005390566301600 1027732578886080 1156199151246840 1206468679561920 1284665723607600 1387438981496208 1445248939058550 1508085849452400 1541598868329120 1712887631476800 1734298726870260 1849918641994944 1926998585411400 2010781132603200 2167873408587825 2312398302493680 2569331447215200 2774877962992416 2890497878117100 3016171698904800 3083197736658240 3468597453740520 3853997170822800 4335746817175650 4624796604987360 5138662894430400 5549755925984832 5780995756234200 6032343397809600 6937194907481040 7707994341645600 8671493634351300 9249593209974720 11561991512468400 13874389814962080 15415988683291200 17342987268702600 23123983024936800 27748779629924160 34685974537405200 46247966049873600 69371949074810400 138743898149620800
- Sum of all divisors σ(n): 537079980034049088
- Sum of proper divisors (its aliquot sum) s(n): 398336081884428288
- 138743898149620800 is an abundant number, because the sum of its proper divisors (398336081884428288) is greater than itself. Its abundance is 259592183734807488
Bases of 138743898149620800
- Binary: 1111011001110101011010111000110111111011000001100010000002
- Hexadecimal: 0x1ECEAD71BF60C40
- Base-36: 11Y4LUW8ZO00
Squares and roots of 138743898149620800
- 138743898149620800 squared (1387438981496208002) is 19249869273752350050143183792640000
- 138743898149620800 cubed (1387438981496208003) is 2670801901911010973251606393903760584321830912000000
-
The
square root of 138743898149620800 is 372483419.9660715099 -
The
cube root of 138743898149620800 is 517691.8136056329
Scales and comparisons
How big is 138743898149620800?- 138,743,898,149,620,800 seconds is equal to 4,411,626,798 years, 5 weeks, 2 days, 12 hours.
-
To count from 1 to 138,743,898,149,620,800 would take you about thirteen billion, two hundred thirty-four million, eight hundred eighty thousand, three hundred ninety-four 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 138743898149620800 cubic inches would be around 43141 feet tall.
Recreational maths with 138743898149620800
- 138743898149620800 backwards is 008026941898347831
- 138743898149620800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138743898149620800's digits is 81
- More coming soon!
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"Number 138743898149620800 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
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Numbermatics. (2024). Number 138743898149620800 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138743898149620800/
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The information we have on file for 138743898149620800 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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