106406137036800

Names of 106406137036800

• Cardinal: 106406137036800 can be written as One hundred six trillion, four hundred six billion, one hundred thirty-seven million, thirty-six thousand, eight hundred.

Scientific notation

• Scientific notation: 1.064061370368 × 10¹⁴

Factors of 106406137036800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 36
• Sum of prime factors: 39

Divisors of 106406137036800

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 29 30 32 36 40 45 48 50 54 58 60 64 72 75 80 81 87 90 96 100 108 116 120 128 135 144 145 150 160 162 174 180 192 200 216 225 232 240 243 256 261 270 288 290 300 320 324 348 360 384 400 405 432 435 450 464 480 486 512 522 540 576 580 600 640 648 675 696 720 725 729 768 783 800 810 864 870 900 928 960 972 1024 1044 1080 1152 1160 1200 1215 1280 1296 1305 1350 1392 1440 1450 1458 1536 1566 1600 1620 1728 1740 1800 1856 1920 1944 2025 2048 2088 2160 2175 2187 2304 2320 2349 2400 2430 2560 2592 2610 2700 2784 2880 2900 2916 3072 3132 3200 3240 3456 3480 3600 3645 3712 3840 3888 3915 4050 4096 4176 4320 4350 4374 4608 4640 4698 4800 4860 5120 5184 5220 5400 5568 5760 5800 5832 6075 6144 6264 6400 6480 6525 6912 6960 7047 7200 7290 7424 7680 7776 7830 8100 8192 8352 8640 8700 8748 9216 9280 9396 9600 9720 10240 10368 10440 10800 10935 11136 11520 11600 11664 11745 12150 12288 12528 12800 12960 13050 13824 13920 14094 14400 14580 14848 15360 15552 15660 16200 16384 16704 17280 17400 17496 18225 18432 18560 18792 19200 19440 19575 20480 20736 20880 21141 21600 21870 22272 23040 23200 23328 23490 24300 24576 25056 25600 25920 26100 27648 27840 28188 28800 29160 29696 30720 31104 31320 32400 32768 33408 34560 34800 34992 35235 36450 36864 37120 37584 38400 38880 39150 40960 41472 41760 42282 43200 43740 44544 46080 46400 46656 46980 48600 49152 50112 51200 51840 52200 54675 55296 55680 56376 57600 58320 58725 59392 61440 62208 62640 63423 64800 65536 66816 69120 69600 69984 70470 72900 73728 74240 75168 76800 77760 78300 81920 82944 83520 84564 86400 87480 89088 92160 92800 93312 93960 97200 98304 100224 102400 103680 104400 105705 109350 110592 111360 112752 115200 116640 117450 118784 122880 124416 125280 126846 129600 131072 133632 138240 139200 139968 140940 145800 147456 148480 150336 153600 155520 156600 163840 165888 167040 169128 172800 174960 176175 178176 184320 185600 186624 187920 194400 196608 200448 204800 207360 208800 211410 218700 221184 222720 225504 230400 233280 234900 237568 245760 248832 250560 253692 259200 262144 267264 276480 278400 279936 281880 291600 294912 296960 300672 307200 311040 313200 317115 327680 331776 334080 338256 345600 349920 352350 356352 368640 371200 373248 375840 388800 393216 400896 409600 414720 417600 422820 437400 442368 445440 451008 460800 466560 469800 475136 491520 497664 501120 507384 518400 524288 528525 534528 552960 556800 559872 563760 583200 589824 593920 601344 614400 622080 626400 634230 655360 663552 668160 676512 691200 699840 704700 712704 737280 742400 746496 751680 777600 786432 801792 819200 829440 835200 845640 874800 884736 890880 902016 921600 933120 939600 950272 983040 995328 1002240 1014768 1036800 1048576 1057050 1069056 1105920 1113600 1119744 1127520 1166400 1179648 1187840 1202688 1228800 1244160 1252800 1268460 1310720 1327104 1336320 1353024 1382400 1399680 1409400 1425408 1474560 1484800 1492992 1503360 1555200 1572864 1585575 1603584 1638400 1658880 1670400 1691280 1749600 1769472 1781760 1804032 1843200 1866240 1879200 1900544 1966080 1990656 2004480 2029536 2073600 2097152 2114100 2138112 2211840 2227200 2239488 2255040 2332800 2359296 2375680 2405376 2457600 2488320 2505600 2536920 2621440 2654208 2672640 2706048 2764800 2799360 2818800 2850816 2949120 2969600 2985984 3006720 3110400 3145728 3171150 3207168 3276800 3317760 3340800 3382560 3499200 3538944 3563520 3608064 3686400 3732480 3758400 3801088 3932160 3981312 4008960 4059072 4147200 4194304 4228200 4276224 4423680 4454400 4478976 4510080 4665600 4718592 4751360 4810752 4915200 4976640 5011200 5073840 5242880 5308416 5345280 5412096 5529600 5598720 5637600 5701632 5898240 5939200 5971968 6013440 6220800 6291456 6342300 6414336 6553600 6635520 6681600 6765120 6998400 7077888 7127040 7216128 7372800 7464960 7516800 7602176 7864320 7962624 8017920 8118144 8294400 8388608 8456400 8552448 8847360 8908800 8957952 9020160 9331200 9437184 9502720 9621504 9830400 9953280 10022400 10147680 10485760 10616832 10690560 10824192 11059200 11197440 11275200 11403264 11796480 11878400 11943936 12026880 12441600 12582912 12684600 12828672 13107200 13271040 13363200 13530240 13996800 14155776 14254080 14432256 14745600 14929920 15033600 15204352 15728640 15925248 16035840 16236288 16588800 16777216 16912800 17104896 17694720 17817600 17915904 18040320 18662400 18874368 19005440 19243008 19660800 19906560 20044800 20295360 20971520 21233664 21381120 21648384 22118400 22394880 22550400 22806528 23592960 23756800 23887872 24053760 24883200 25165824 25369200 25657344 26214400 26542080 26726400 27060480 27993600 28311552 28508160 28864512 29491200 29859840 30067200 30408704 31457280 31850496 32071680 32472576 33177600 33554432 33825600 34209792 35389440 35635200 35831808 36080640 37324800 37748736 38010880 38486016 39321600 39813120 40089600 40590720 41943040 42467328 42762240 43296768 44236800 44789760 45100800 45613056 47185920 47513600 47775744 48107520 49766400 50331648 50738400 51314688 52428800 53084160 53452800 54120960 55987200 56623104 57016320 57729024 58982400 59719680 60134400 60817408 62914560 63700992 64143360 64945152 66355200 67108864 67651200 68419584 70778880 71270400 71663616 72161280 74649600 75497472 76021760 76972032 78643200 79626240 80179200 81181440 83886080 84934656 85524480 86593536 88473600 89579520 90201600 91226112 94371840 95027200 95551488 96215040 99532800 100663296 101476800 102629376 104857600 106168320 106905600 108241920 111974400 113246208 114032640 115458048 117964800 119439360 120268800 121634816 125829120 127401984 128286720 129890304 132710400 135302400 136839168 141557760 142540800 143327232 144322560 149299200 150994944 152043520 153944064 157286400 159252480 160358400 162362880 167772160 169869312 171048960 173187072 176947200 179159040 180403200 182452224 188743680 190054400 191102976 192430080 199065600 201326592 202953600 205258752 209715200 212336640 213811200 216483840 223948800 226492416 228065280 230916096 235929600 238878720 240537600 243269632 251658240 254803968 256573440 259780608 265420800 270604800 273678336 283115520 285081600 286654464 288645120 298598400 301989888 304087040 307888128 314572800 318504960 320716800 324725760 335544320 339738624 342097920 346374144 353894400 358318080 360806400 364904448 377487360 380108800 382205952 384860160 398131200 405907200 410517504 419430400 424673280 427622400 432967680 447897600 452984832 456130560 461832192 471859200 477757440 481075200 486539264 503316480 509607936 513146880 519561216 530841600 541209600 547356672 566231040 570163200 573308928 577290240 597196800 603979776 608174080 615776256 629145600 637009920 641433600 649451520 679477248 684195840 692748288 707788800 716636160 721612800 729808896 754974720 760217600 764411904 769720320 796262400 811814400 821035008 838860800 849346560 855244800 865935360 895795200 905969664 912261120 923664384 943718400 955514880 962150400 973078528 1006632960 1019215872 1026293760 1039122432 1061683200 1082419200 1094713344 1132462080 1140326400 1146617856 1154580480 1194393600 1216348160 1231552512 1258291200 1274019840 1282867200 1298903040 1358954496 1368391680 1385496576 1415577600 1433272320 1443225600 1459617792 1509949440 1520435200 1528823808 1539440640 1592524800 1623628800 1642070016 1677721600 1698693120 1710489600 1731870720 1791590400 1811939328 1824522240 1847328768 1887436800 1911029760 1924300800 1946157056 2038431744 2052587520 2078244864 2123366400 2164838400 2189426688 2264924160 2280652800 2293235712 2309160960 2388787200 2432696320 2463105024 2516582400 2548039680 2565734400 2597806080 2717908992 2736783360 2770993152 2831155200 2866544640 2886451200 2919235584 3019898880 3040870400 3057647616 3078881280 3185049600 3247257600 3284140032 3397386240 3420979200 3463741440 3583180800 3649044480 3694657536 3774873600 3822059520 3848601600 4076863488 4105175040 4156489728 4246732800 4329676800 4378853376 4529848320 4561305600 4586471424 4618321920 4777574400 4865392640 4926210048 5033164800 5096079360 5131468800 5195612160 5435817984 5473566720 5541986304 5662310400 5733089280 5772902400 5838471168 6081740800 6115295232 6157762560 6370099200 6494515200 6568280064 6794772480 6841958400 6927482880 7166361600 7298088960 7389315072 7549747200 7644119040 7697203200 8153726976 8210350080 8312979456 8493465600 8659353600 8757706752 9059696640 9122611200 9172942848 9236643840 9555148800 9730785280 9852420096 10192158720 10262937600 10391224320 10947133440 11083972608 11324620800 11466178560 11545804800 12163481600 12230590464 12315525120 12740198400 12989030400 13136560128 13589544960 13683916800 13854965760 14332723200 14596177920 14778630144 15099494400 15288238080 15394406400 16307453952 16420700160 16625958912 16986931200 17318707200 17515413504 18245222400 18345885696 18473287680 19110297600 19704840192 20384317440 20525875200 20782448640 21894266880 22167945216 22649241600 22932357120 23091609600 24326963200 24461180928 24631050240 25480396800 25978060800 26273120256 27179089920 27367833600 27709931520 28665446400 29192355840 29557260288 30576476160 30788812800 32841400320 33251917824 33973862400 34637414400 36490444800 36691771392 36946575360 38220595200 39409680384 40768634880 41051750400 41564897280 43788533760 44335890432 45298483200 45864714240 46183219200 48653926400 48922361856 49262100480 50960793600 51956121600 52546240512 54735667200 55419863040 57330892800 59114520576 61152952320 61577625600 65682800640 66503835648 67947724800 69274828800 72980889600 73383542784 73893150720 76441190400 78819360768 81537269760 82103500800 83129794560 87577067520 88671780864 91729428480 92366438400 98524200960 101921587200 103912243200 109471334400 110839726080 114661785600 118229041152 122305904640 123155251200 131365601280 133007671296 135895449600 138549657600 145961779200 146767085568 147786301440 152882380800 157638721536 164207001600 166259589120 177343561728 183458856960 184732876800 197048401920 203843174400 207824486400 218942668800 221679452160 229323571200 236458082304 244611809280 246310502400 262731202560 266015342592 277099315200 295572602880 305764761600 328414003200 332519178240 354687123456 366917713920 369465753600 394096803840 407686348800 415648972800 437885337600 443358904320 458647142400 472916164608 492621004800 532030685184 554198630400 591145205760 611529523200 656828006400 665038356480 709374246912 733835427840 738931507200 788193607680 831297945600 886717808640 917294284800 985242009600 1064061370368 1108397260800 1182290411520 1223059046400 1313656012800 1330076712960 1418748493824 1477863014400 1662595891200 1773435617280 1834588569600 1970484019200 2128122740736 2216794521600 2364580823040 2660153425920 2955726028800 3325191782400 3546871234560 3669177139200 3940968038400 4256245481472 4433589043200 5320306851840 5911452057600 6650383564800 7093742469120 8867178086400 10640613703680 11822904115200 13300767129600 17734356172800 21281227407360 26601534259200 35468712345600 53203068518400 106406137036800
• Sum of all divisors σ(n): 409417754440800
• Sum of proper divisors (its aliquot sum) s(n): 303011617404000
• 106406137036800 is an abundant number, because the sum of its proper divisors (303011617404000) is greater than itself. Its abundance is 196605480367200

Bases of 106406137036800

• Binary: 11000001100011010011100000000000000000000000000₂
• Hexadecimal: 0x60C69C000000
• Base-36: 11PUAYO000

Squares and roots of 106406137036800

• 106406137036800 squared (106406137036800²) is 11322265999094260684554240000
• 106406137036800 cubed (106406137036800³) is 1204758587466725167081061038562476032000000
• The square root of 106406137036800 is 10315335.0423919823
• The cube root of 106406137036800 is 47386.6010773853

Scales and comparisons

• 106,406,137,036,800 seconds is equal to 3,383,386 years, 1 week, 1 day.
• To count from 1 to 106,406,137,036,800 would take you about eight million, four hundred fifty-eight thousand, four hundred sixty-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 106406137036800 cubic inches would be around 3948.9 feet tall.

Recreational maths with 106406137036800

• 106406137036800 backwards is 008630731604601
• 106406137036800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 106406137036800's digits is 45
• More coming soon!