148268343687408000

Names of 148268343687408000

• Cardinal: 148268343687408000 can be written as One hundred forty-eight quadrillion, two hundred sixty-eight trillion, three hundred forty-three billion, six hundred eighty-seven million, four hundred eight thousand.

Scientific notation

• Scientific notation: 1.48268343687408 × 10¹⁷

Factors of 148268343687408000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 587520

Divisors of 148268343687408000

• Number of divisors d(n): 1536
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 31 32 35 36 40 42 45 48 50 56 60 62 63 64 70 72 75 80 84 90 93 96 100 105 112 120 124 125 126 128 140 144 150 155 160 168 175 180 186 192 200 210 217 224 225 240 248 250 252 279 280 288 300 310 315 320 336 350 360 372 375 384 400 420 434 448 450 465 480 496 500 504 525 558 560 576 600 620 630 640 651 672 700 720 744 750 775 800 840 868 875 896 900 930 960 992 1000 1008 1050 1085 1116 1120 1125 1152 1200 1240 1260 1302 1344 1395 1400 1440 1488 1500 1550 1575 1600 1680 1736 1750 1800 1860 1920 1953 1984 2000 2016 2100 2170 2232 2240 2250 2325 2400 2480 2520 2604 2625 2688 2790 2800 2880 2976 3000 3100 3150 3200 3255 3360 3472 3500 3600 3720 3875 3906 3968 4000 4032 4200 4340 4464 4480 4500 4650 4800 4960 5040 5208 5250 5425 5580 5600 5760 5952 6000 6200 6300 6510 6720 6944 6975 7000 7200 7440 7750 7812 7875 8000 8064 8191 8400 8680 8928 9000 9300 9600 9765 9920 10080 10416 10500 10850 11160 11200 11625 11904 12000 12400 12600 13020 13440 13888 13950 14000 14400 14880 15500 15624 15750 16000 16275 16382 16800 17360 17856 18000 18600 19530 19840 20160 20832 21000 21700 22320 22400 23250 24000 24573 24800 25200 26040 27125 27776 27900 28000 28800 29760 31000 31248 31500 32550 32764 33600 34720 34875 35712 36000 37200 39060 40320 40955 41664 42000 43400 44640 46500 48000 48825 49146 49600 50400 52080 54250 55800 56000 57337 59520 62000 62496 63000 65100 65528 67200 69440 69750 72000 73719 74400 78120 81375 81910 83328 84000 86800 89280 93000 97650 98292 99200 100800 104160 108500 111600 112000 114674 122865 124000 124992 126000 130200 131056 138880 139500 144000 147438 148800 156240 162750 163820 168000 172011 173600 178560 186000 195300 196584 201600 204775 208320 217000 223200 229348 244125 245730 248000 249984 252000 253921 260400 262112 279000 286685 294876 297600 312480 325500 327640 336000 344022 347200 368595 372000 390600 393168 409550 416640 434000 446400 458696 488250 491460 496000 504000 507842 516033 520800 524224 558000 573370 579281 589752 614325 624960 651000 655280 688044 694400 737190 744000 761763 781200 786336 819100 860055 868000 892800 917392 976500 982920 1008000 1015684 1023875 1032066 1041600 1048448 1116000 1146740 1158562 1179504 1228650 1249920 1269605 1302000 1310560 1376088 1433425 1474380 1488000 1523526 1562400 1572672 1638200 1720110 1736000 1737843 1777447 1834784 1842975 1953000 1965840 2031368 2047750 2064132 2083200 2232000 2285289 2293480 2317124 2359008 2457300 2539210 2580165 2604000 2621120 2752176 2866850 2896405 2948760 3047052 3071625 3124800 3145344 3276400 3440220 3472000 3475686 3554894 3669568 3685950 3808815 3906000 3931680 4054967 4062736 4095500 4128264 4300275 4464000 4570578 4586960 4634248 4718016 4914600 5078420 5160330 5208000 5213529 5242240 5332341 5504352 5733700 5792810 5897520 6094104 6143250 6249600 6348025 6552800 6880440 6951372 7109788 7167125 7339136 7371900 7617630 7812000 7863360 8109934 8125472 8191000 8256528 8600550 8689215 8887235 9141156 9173920 9214875 9268496 9436032 9829200 10156840 10320660 10416000 10427058 10664682 11008704 11426445 11467400 11585620 11795040 12164901 12188208 12286500 12696050 12900825 13105600 13760880 13902744 14219576 14334250 14482025 14743800 15235260 15624000 15726720 15997023 16219868 16250944 16382000 16513056 17201100 17378430 17774470 17957711 18282312 18347840 18429750 18536992 19044075 19658400 20274835 20313680 20641320 20854116 21329364 21501375 22017408 22852890 22934800 23171240 23590080 24329802 24376416 24573000 25392100 25801650 26067645 26211200 26661705 27521760 27805488 28439152 28668500 28964050 29487600 30470520 31248000 31740125 31994046 32439736 32501888 32764000 33026112 34402200 34756860 35548940 35915422 36494703 36564624 36695680 36859500 37073984 38088150 39316800 40549670 40627360 41282640 41708232 42658728 43002750 43446075 44436175 45705780 45869600 46342480 47180160 48659604 48752832 49146000 50784200 51603300 52135290 53323410 53873133 55043520 55610976 56878304 57132225 57337000 57928100 58975200 60824505 60941040 63480250 63988092 64504125 64879472 65528000 66052224 68804400 69513720 71097880 71830844 72410125 72989406 73129248 73719000 74147968 76176300 78633600 79985115 81099340 81254720 82565280 83416464 85317456 86005500 86892150 88872350 89788555 91411560 91739200 92684960 95220375 97319208 97505664 98292000 101374175 101568400 103206600 104270580 106646820 107746266 110087040 111221952 113756608 114264450 114674000 115856200 117950400 121649010 121882080 125703977 126960500 127976184 129008250 129758944 130338225 131056000 133308525 137608800 139027440 142195760 143661688 144820250 145978812 146258496 147438000 152352600 159970230 161619399 162198680 162509440 165130560 166832928 170634912 172011000 173784300 177744700 179577110 182473515 182823120 183478400 185369920 190440750 194638416 196584000 202748350 203136800 206413200 208541160 213293640 215492532 217230375 222180875 222443904 227513216 228528900 229348000 231712400 235900800 243298020 243764160 251407954 253921000 255952368 258016500 259517888 260676450 266617050 269365665 275217600 278054880 284391520 285661125 287323376 289640500 291957624 292516992 294876000 304122525 304705200 319940460 323238798 324397360 330261120 333665856 341269824 344022000 347568600 355489400 359154220 364947030 365646240 370739840 377111931 380881500 389276832 393168000 399925575 405496700 406273600 412826400 417082320 426587280 430985064 434460750 444361750 448942775 457057800 458696000 463424800 486596040 487528320 502815908 506870875 507842000 511904736 516033000 519035776 521352900 533234100 538731330 550435200 556109760 568783040 571322250 574646752 579281000 583915248 589752000 608245050 609410400 628519885 639880920 646477596 648794720 651691125 666542625 667331712 682539648 688044000 695137200 710978800 718308440 729894060 731292480 754223862 761763000 778553664 799851150 808096995 810993400 812547200 825652800 834164640 853174560 861970128 868921500 888723500 897885550 912367575 914115600 917392000 926849600 973192080 1005631816 1013741750 1015684000 1023809472 1032066000 1042705800 1066468200 1077462660 1112219520 1131335793 1137566080 1142644500 1149293504 1158562000 1167830496 1179504000 1216490100 1218820800 1257039770 1279761840 1292955192 1297589440 1303382250 1333085250 1346828325 1376088000 1390274400 1421957600 1436616880 1459788120 1462584960 1508447724 1520612625 1523526000 1557107328 1599702300 1616193990 1621986800 1651305600 1668329280 1706349120 1723940256 1737843000 1777447000 1795771100 1824735150 1828231200 1853699200 1885559655 1946384160 1999627875 2011263632 2027483500 2031368000 2047618944 2064132000 2085411600 2132936400 2154925320 2244713875 2262671586 2285289000 2298587008 2317124000 2335660992 2432980200 2437641600 2514079540 2559523680 2585910384 2595178880 2606764500 2666170500 2693656650 2752176000 2780548800 2843915200 2873233760 2919576240 3016895448 3041225250 3047052000 3142599425 3199404600 3232387980 3243973600 3336658560 3412698240 3447880512 3475686000 3554894000 3591542200 3649470300 3656462400 3771119310 3892768320 3999255750 4022527264 4040484975 4054967000 4062736000 4128264000 4170823200 4265872800 4309850640 4489427750 4525343172 4561837875 4570578000 4634248000 4671321984 4744890671 4865960400 5028159080 5119047360 5171820768 5213529000 5332341000 5387313300 5561097600 5656678965 5687830400 5746467520 5839152480 6033790896 6082450500 6094104000 6285198850 6398809200 6464775960 6487947200 6734141625 6895761024 6951372000 7109788000 7183084400 7298940600 7312924800 7542238620 7785536640 7998511500 8045054528 8080969950 8109934000 8256528000 8341646400 8531745600 8619701280 8978855500 9050686344 9123675750 9141156000 9268496000 9427798275 9489781342 9731920800 10056318160 10238094720 10343641536 10427058000 10664682000 10774626600 11313357930 11492935040 11678304960 12067581792 12164901000 12188208000 12570397700 12797618400 12929551920 12975894400 13468283250 13902744000 14219576000 14234672013 14366168800 14597881200 15084477240 15712997125 15997023000 16090109056 16161939900 16219868000 16683292800 17063491200 17239402560 17957711000 18101372688 18247351500 18282312000 18855596550 18979562684 19463841600 20112636320 20202424875 20687283072 20854116000 21329364000 21549253200 22626715860 23356609920 23724453355 24135163584 24329802000 25140795400 25595236800 25859103840 26936566500 27805488000 28283394825 28439152000 28469344026 28732337600 29195762400 30168954480 31425994250 31994046000 32323879800 32439736000 33214234697 34478805120 35915422000 36202745376 36494703000 36564624000 37711193100 37959125368 38927683200 40225272640 40404849750 41708232000 42658728000 42704016039 43098506400 45253431720 47138991375 47448906710 48270327168 48659604000 50281590800 51190473600 51718207680 53873133000 56566789650 56938688052 57464675200 58391524800 60337908960 62851988500 63988092000 64647759600 64879472000 66428469394 71173360065 71830844000 72405490752 72989406000 75422386200 75918250736 80450545280 80809699500 83416464000 85317456000 85408032078 86197012800 90506863440 94277982750 94897813420 97319208000 99642704091 100563181600 103436415360 107746266000 113133579300 113877376104 116783049600 118622266775 120675817920 125703977000 127976184000 129295519200 132856938788 141416974125 142346720130 143661688000 144810981504 145978812000 147091610801 150844772400 151836501472 161619399000 166071173485 170816064156 172394025600 181013726880 188555965500 189795626840 194638416000 199285408182 201126363200 213520080195 215492532000 226267158600 227754752208 237244533550 241351635840 251407954000 255952368000 258591038400 265713877576 282833948250 284693440260 287323376000 291957624000 294183221602 298928112273 301689544800 303673002944 323238798000 332142346970 341632128312 355866800325 362027453760 377111931000 379591253680 398570816364 402252726400 427040160390 430985064000 441274832403 452534317200 455509504416 474489067100 498213520455 502815908000 517182076800 531427755152 565667896500 569386880520 583915248000 588366443204 593111333875 597856224546 603379089600 607346005888 646477596000 664284693940 683264256624 711733600650 724054907520 735458054005 754223862000 759182507360 797141632728 830355867425 854080320780 861970128000 882549664806 905068634400 911019008832 948978134200 996427040910 1005631816000 1029641275607 1062855510304 1067600400975 1131335793000 1138773761040 1176732886408 1186222667750 1195712449092 1206758179200 1292955192000 1323824497209 1328569387880 1366528513248 1423467201300 1470916108010 1494640561365 1508447724000 1518365014720 1594283265456 1660711734850 1708160641560 1765099329612 1779334001625 1810137268800 1822038017664 1897956268400 1992854081820 2011263632000 2059282551214 2125711020608 2135200801950 2206374162015 2262671586000 2277547522080 2353465772816 2372445335500 2391424898184 2491067602275 2585910384000 2647648994418 2657138775760 2733057026496 2846934402600 2941832216020 2989281122730 3016895448000 3036730029440 3088923826821 3188566530912 3321423469700 3416321283120 3530198659224 3558668003250 3620274537600 3677290270025 3795912536800 3985708163640 4118565102428 4151779337125 4251422041216 4270401603900 4412748324030 4525343172000 4555095044160 4706931545632 4744890671000 4782849796368 4982135204550 5148206378035 5295297988836 5314277551520 5338002004875 5466114052992 5693868805200 5883664432040 5978562245460 6033790896000 6177847653642 6377133061824 6619122486045 6642846939400 6832642566240 7060397318448 7117336006500 7354580540050 7473202806825 7591825073600 7971416327280 8237130204856 8303558674250 8540803207800 8825496648060 9050686344000 9110190088320 9266771480463 9413863091264 9489781342000 9565699592736 9964270409100 10296412756070 10590595977672 10628555103040 10676004009750 11031870810075 11387737610400 11767328864080 11957124490920 12355695307284 12455338011375 12754266123648 13238244972090 13285693878800 13665285132480 14120794636896 14234672013000 14709161080100 14946405613650 15183650147200 15444619134105 15942832654560 16474260409712 16607117348500 17081606415600 17650993296120 18101372688000 18386451350125 18533542960926 18827726182528 18979562684000 19131399185472 19928540818200 20592825512140 21181191955344 21257110206080 21352008019500 22063741620150 22775475220800 23534657728160 23914248981840 24711390614568 24910676022750 25741031890175 26476489944180 26571387757600 27330570264960 28241589273792 28469344026000 29418322160200 29892811227300 30889238268210 31885665309120 32948520819424 33095612430225 33214234697000 34163212831200 35301986592240 36772902700250 37067085921852 37366014034125 37959125368000 38262798370944 39857081636400 41185651024280 42362383910688 42704016039000 44127483240300 45550950441600 46333857402315 47069315456320 47828497963680 49422781229136 49821352045500 51482063780350 52952979888360 53142775515200 55159354050375 56483178547584 56938688052000 58836644320400 59785622454600 61778476536420 63771330618240 65897041638848 66191224860450 66428469394000 68326425662400 70603973184480 73545805400500 74134171843704 74732028068250 75918250736000 77223095670525 79714163272800 82371302048560 84724767821376 85408032078000 88254966480600 92667714804630 94138630912640 95656995927360 98845562458272 99642704091000 102964127560700 105905959776720 106285551030400 110318708100750 113877376104000 117673288640800 119571244909200 123556953072840 128705159450875 131794083277696 132382449720900 132856938788000 136652851324800 141207946368960 147091610801000 148268343687408 149464056136500 154446191341050 159428326545600 164742604097120 165478062151125 169449535642752 170816064156000 176509932961200 185335429609260 191313991854720 197691124916544 199285408182000 205928255121400 211811919553440 220637416201500 227754752208000 231669287011575 235346577281600 239142489818400 247113906145680 257410318901750 264764899441800 265713877576000 282415892737920 294183221602000 296536687374816 298928112273000 308892382682100 318856653091200 329485208194240 330956124302250 341632128312000 353019865922400 370670859218520 386115478352625 395382249833088 398570816364000 411856510242800 423623839106880 441274832403000 463338574023150 470693154563200 478284979636800 494227812291360 514820637803500 529529798883600 531427755152000 588366443204000 593073374749632 597856224546000 617784765364200 658970416388480 661912248604500 683264256624000 706039731844800 741341718437040 772230956705250 797141632728000 823713020485600 847247678213760 882549664806000 926677148046300 956569959273600 988455624582720 1029641275607000 1059059597767200 1158346435057875 1176732886408000 1186146749499264 1195712449092000 1235569530728400 1323824497209000 1412079463689600 1482683436874080 1544461913410500 1594283265456000 1647426040971200 1765099329612000 1853354296092600 1976911249165440 2059282551214000 2118119195534400 2316692870115750 2353465772816000 2391424898184000 2471139061456800 2647648994418000 2965366873748160 3088923826821000 3294852081942400 3530198659224000 3706708592185200 4118565102428000 4236238391068800 4633385740231500 4782849796368000 4942278122913600 5295297988836000 5930733747496320 6177847653642000 7060397318448000 7413417184370400 8237130204856000 9266771480463000 9884556245827200 10590595977672000 12355695307284000 14826834368740800 16474260409712000 18533542960926000 21181191955344000 24711390614568000 29653668737481600 37067085921852000 49422781229136000 74134171843704000 148268343687408000
• Sum of all divisors σ(n): 628243601251368960
• Sum of proper divisors (its aliquot sum) s(n): 479975257563960960
• 148268343687408000 is an abundant number, because the sum of its proper divisors (479975257563960960) is greater than itself. Its abundance is 331706913876552960

Bases of 148268343687408000

• Binary: 1000001110110000010100010111100100111011000110100110000000₂
• Hexadecimal: 0x20EC145E4EC6980
• Base-36: 14JWQORSAJK0

Squares and roots of 148268343687408000

• 148268343687408000 squared (148268343687408000²) is 21983501739807339722417758464000000
• 148268343687408000 cubed (148268343687408000³) is 3259457391410486363838444785139251662221312000000000
• The square root of 148268343687408000 is 385056286.3886369535
• The cube root of 148268343687408000 is 529276.7442012711

Scales and comparisons

• 148,268,343,687,408,000 seconds is equal to 4,714,474,705 years, 8 weeks, 2 days, 8 hours.
• To count from 1 to 148,268,343,687,408,000 would take you about fourteen billion, one hundred forty-three million, four hundred twenty-four thousand, one hundred fifteen 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 148268343687408000 cubic inches would be around 44106.4 feet tall.

Recreational maths with 148268343687408000

• 148268343687408000 backwards is 000804786343862841
• 148268343687408000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 148268343687408000's digits is 72
• More coming soon!