480138492103200

Names of 480138492103200

• Cardinal: 480138492103200 can be written as Four hundred eighty trillion, one hundred thirty-eight billion, four hundred ninety-two million, one hundred three thousand, two hundred.

Scientific notation

• Scientific notation: 4.801384921032 × 10¹⁴

Factors of 480138492103200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 26184

Divisors of 480138492103200

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 25 28 30 32 35 36 38 40 42 45 48 49 50 56 57 60 63 70 72 75 76 80 84 90 95 96 98 100 105 112 114 120 126 133 140 144 147 150 152 160 168 171 175 180 190 196 200 210 224 225 228 240 245 252 266 280 285 288 294 300 304 315 336 342 350 360 380 392 399 400 420 441 450 456 475 480 490 504 525 532 560 570 588 600 608 630 665 672 684 700 720 735 760 784 798 800 840 855 882 900 912 931 950 980 1008 1050 1064 1120 1140 1176 1197 1200 1225 1260 1330 1368 1400 1425 1440 1470 1520 1568 1575 1596 1680 1710 1764 1800 1824 1862 1900 1960 1995 2016 2100 2128 2205 2280 2352 2394 2400 2450 2520 2660 2736 2793 2800 2850 2940 3040 3109 3150 3192 3325 3360 3420 3528 3600 3675 3724 3800 3920 3990 4200 4256 4275 4410 4560 4655 4704 4788 4900 5040 5320 5472 5586 5600 5700 5880 5985 6218 6300 6384 6650 6840 7056 7200 7350 7448 7600 7840 7980 8379 8400 8550 8820 9120 9310 9327 9576 9800 9975 10080 10640 11025 11172 11400 11760 11970 12436 12600 12768 13300 13680 13965 14112 14700 14896 15200 15545 15960 16758 16800 17100 17640 18620 18654 19152 19600 19950 21280 21763 22050 22344 22800 23039 23275 23520 23940 24872 25200 26600 27360 27930 27981 29400 29792 29925 31090 31920 33516 34200 35280 37240 37308 38304 39200 39900 41895 43526 44100 44688 45600 46078 46550 46635 47880 49744 50400 53200 55860 55962 58800 59071 59850 62180 63840 65289 67032 68400 69117 69825 70560 74480 74616 77725 79800 83790 87052 88200 89376 92156 93100 93270 95760 99488 106400 108815 111720 111924 115195 117600 118142 119700 124360 130578 134064 136800 138234 139650 139905 148960 149232 152341 155450 159600 161273 167580 174104 176400 177213 184312 186200 186540 191520 195867 207351 209475 217630 223440 223848 230390 233175 236284 239400 248720 261156 268128 276468 279300 279810 295355 298464 304682 310900 319200 322546 326445 335160 345585 348208 352800 354426 368624 372400 373080 391734 413497 414702 418950 435260 437741 446880 447696 457023 460780 466350 472568 478800 483819 497440 522312 531639 544075 552936 558600 559620 575975 590710 609364 621800 645092 652890 670320 691170 696416 699525 708852 737248 744800 746160 761705 783468 806365 826994 829404 837900 870520 875482 886065 895392 914046 921560 932700 945136 957600 967638 979335 1036755 1044624 1063278 1088150 1105872 1117200 1119240 1128911 1151950 1181420 1218728 1240491 1243600 1290184 1305780 1313223 1340640 1371069 1382340 1399050 1417704 1451457 1476775 1492320 1523410 1566936 1612730 1632225 1653988 1658808 1675800 1727925 1741040 1750964 1772130 1828092 1843120 1865400 1890272 1935276 1958670 2067485 2073510 2089248 2126556 2176300 2188705 2211744 2234400 2238480 2257822 2285115 2303900 2362840 2419095 2437456 2480982 2487200 2580368 2611560 2626446 2658195 2742138 2764680 2798100 2835408 2894479 2902914 2953550 3046820 3064187 3133872 3225460 3264450 3307976 3317616 3351600 3386733 3455850 3482080 3501928 3544260 3656184 3686240 3721473 3730800 3808525 3870552 3917340 3939669 4031825 4134970 4147020 4253112 4352600 4377410 4430325 4476960 4515644 4570230 4607800 4725680 4838190 4874912 4896675 4961964 5160736 5183775 5223120 5252892 5316390 5484276 5529360 5596200 5644555 5670816 5788958 5805828 5907100 6093640 6128374 6202455 6267744 6450920 6528900 6566115 6615952 6635232 6703200 6773466 6855345 6911700 7003856 7088520 7257285 7312368 7442946 7461600 7617050 7741104 7834680 7879338 8063650 8269940 8294040 8506224 8683437 8705200 8754820 8860650 9031288 9140460 9192561 9215600 9451360 9676380 9793350 9923928 10160199 10337425 10367550 10446240 10505784 10632780 10943525 10968552 11058720 11192400 11289110 11425575 11577916 11611656 11814200 12095475 12187280 12256748 12404910 12901840 13057800 13132230 13231904 13290975 13546932 13710690 13823400 14007712 14177040 14472395 14514570 14624736 14885892 15234100 15320935 15482208 15669360 15758676 16127300 16539880 16588080 16933665 17012448 17366874 17410400 17509640 17721300 18062576 18280920 18385122 18431200 18607365 19352760 19586700 19698345 19847856 20320398 20674850 20735100 21011568 21265560 21449309 21887050 21937104 22384800 22578220 22851150 23155832 23223312 23628400 24190950 24374560 24513496 24809820 25803680 26050311 26115600 26264460 26581950 27093864 27421380 27577683 27646800 28222775 28354080 28944790 29029140 29771784 30468200 30641870 31012275 31338720 31517352 32254600 32830575 33079760 33176160 33867330 34276725 34733748 35019280 35442600 36125152 36286425 36561840 36770244 37214730 38705520 39173400 39396690 39695712 40640796 41349700 41470200 42023136 42531120 42898618 43417185 43774100 43874208 45156440 45702300 45962805 46311664 46446624 47256800 48381900 49026992 49619640 50800995 52100622 52231200 52528920 53163900 54187728 54842760 55155366 55293600 56445550 57889580 58058280 59543568 60936400 61283740 62024550 63034704 64347927 64509200 65661150 66159520 67734660 68553450 69467496 70038560 70885200 71628251 72361975 72572850 73123680 73540488 74429460 76604675 77411040 78346800 78793380 81281592 82699400 82940400 84668325 85062240 85797236 86834370 87548200 90312880 91404600 91925610 92623328 93036825 96763800 98053984 98491725 99239280 101601990 104201244 105057840 106327800 107246545 108375456 109685520 110310732 112891100 115779160 116116560 119087136 121872800 122567480 124049100 126069408 128695854 129018400 130251555 131322300 135469320 137106900 137888415 138934992 141770400 143256502 144723950 145145700 147080976 148858920 153209350 156693600 157586760 162563184 165398800 165880800 169336650 171594472 173668740 175096400 180625760 182809200 183851220 186073650 193043781 193527600 196983450 198478560 203203980 208402488 210115680 212655600 214493090 214884753 217085925 219371040 220621464 225782200 229814025 231558320 232233120 245134960 248098200 254004975 257391708 260503110 262644600 270938640 274213800 275776830 277869984 286513004 289447900 290291400 294161952 297717840 306418700 315173520 321739635 325126368 330797600 338673300 343188944 347337480 350192800 358141255 365618400 367702440 372147300 386087562 387055200 393966900 406407960 416804976 425311200 428986180 429769506 434171850 441242928 451564400 459628050 463116640 490269920 496196400 501397757 508009950 514783416 521006220 525289200 536232725 541877280 548427600 551553660 573026008 578895800 580582800 595435680 612837400 630347040 643479270 644654259 651257775 677346600 686377888 689442075 694674960 716282510 735404880 744294600 772175124 787933800 812815920 833609952 857972360 859539012 868343700 882485856 903128800 919256100 965218905 992392800 1002795514 1016019900 1029566832 1042012440 1050578400 1072465450 1074423765 1096855200 1103107320 1146052016 1157791600 1161165600 1225674800 1286958540 1289308518 1302515550 1354693200 1360936769 1378884150 1389349920 1432565020 1470809760 1488589200 1504193271 1544350248 1575867600 1608698175 1625631840 1715944720 1719078024 1736687400 1790706275 1838512200 1930437810 2005591028 2032039800 2059133664 2084024880 2144930900 2148847530 2206214640 2292104032 2315583200 2451349600 2506988785 2573917080 2578617036 2605031100 2709386400 2721873538 2757768300 2865130040 2977178400 3008386542 3088700496 3151735200 3217396350 3223271295 3431889440 3438156048 3473374800 3509784299 3581412550 3677024400 3860875620 4011182056 4064079600 4082810307 4168049760 4289861800 4297695060 4412429280 4512579813 4826094525 5013977570 5147834160 5157234072 5210062200 5372118825 5443747076 5515536600 5730260080 6016773084 6177400992 6434792700 6446542590 6804683845 6876312096 6946749600 7019568598 7162825100 7354048800 7520966355 7721751240 8022364112 8128159200 8165620614 8579723600 8595390120 9025159626 9526557383 9652189050 10027955140 10295668320 10314468144 10420124400 10529352897 10744237650 10887494152 11031073200 11460520160 12033546168 12248430921 12534943925 12869585400 12893085180 13609367690 14039137196 14325650200 15041932710 15443502480 16044728224 16116356475 16331241228 17159447200 17190780240 17548921495 18050319252 19053114766 19304378100 20055910280 20414051535 20628936288 20840248800 21058705794 21488475300 21774988304 22062146400 22562899065 24067092336 24496861842 25069887850 25739170800 25786170360 27218735380 28078274392 28579672149 28651300400 30083865420 30887004960 31588058691 32232712950 32662482456 34023419225 34381560480 35097842990 36100638504 37604831775 38106229532 38608756200 40111820560 40828103070 42117411588 42976950600 43549976608 45125798130 47632786915 48134184672 48993723684 50139775700 51478341600 51572340720 52646764485 54437470760 56156548784 57159344298 57302600800 60167730840 61242154605 63176117382 64465425900 65324964912 66685901681 68046838450 70195685980 72201277008 75209663550 76212459064 77217512400 80223641120 81656206140 84234823176 85739016447 85953901200 87744607475 90251596260 95265573830 97987447368 100279551400 102070257675 103144681440 105293528970 108874941520 112313097568 112814495325 114318688596 120335461680 122484309210 126352234764 128930851800 130649929824 133371803362 136093676900 140391371960 142898360745 144402554016 150419327100 152424918128 154435024800 157940293455 163312412280 168469646352 171478032894 171907802400 175489214950 180503192520 190531147660 195974894736 200057705043 200559102800 204140515350 210587057940 217749883040 225628990650 228637377192 238163934575 240670923360 244968618420 252704469528 257861703600 263233822425 266743606724 272187353800 280782743920 285796721490 300838654200 304849836256 306210773025 315880586910 326624824560 333429508405 336939292704 342956065788 350978429900 361006385040 381062295320 391949789472 400115410086 401118205600 408281030700 421174115880 428695082235 451257981300 457274754384 476327869150 489937236840 505408939056 515723407200 526467644850 533487213448 544374707600 561565487840 571593442980 600173115129 601677308400 612421546050 631761173820 653249649120 666859016810 685912131576 701956859800 714491803725 722012770080 762124590640 789701467275 800230820172 816562061400 842348231760 857390164470 902515962600 914549508768 952655738300 979874473680 1000288525215 1010817878112 1052935289700 1066974426896 1088749415200 1143186885960 1200346230258 1203354616800 1224843092100 1263522347640 1333718033620 1371824263152 1403913719600 1428983607450 1524249181280 1579402934550 1600461640344 1633124122800 1667147542025 1684696463520 1714780328940 1805031925200 1905311476600 1959748947360 2000577050430 2105870579400 2133948853792 2143475411175 2286373771920 2400692460516 2449686184200 2527044695280 2667436067240 2743648526304 2807827439200 2857967214900 3000865575645 3158805869100 3200923280688 3266248245600 3334295084050 3429560657880 3610063850400 3810622953200 4001154100860 4211741158800 4286950822350 4572747543840 4801384921032 4899372368400 5001442626075 5054089390560 5334872134480 5715934429800 6001731151290 6317611738200 6401846561376 6668590168100 6859121315760 7621245906400 8002308201720 8423482317600 8573901644700 9602769842064 9798744736800 10002885252150 10669744268960 11431868859600 12003462302580 12635223476400 13337180336200 13718242631520 15004327878225 16004616403440 17147803289400 19205539684128 20005770504300 22863737719200 24006924605160 25270446952800 26674360672400 30008655756450 32009232806880 34295606578800 40011541008600 48013849210320 53348721344800 60017311512900 68591213157600 80023082017200 96027698420640 120034623025800 160046164034400 240069246051600 480138492103200
• Sum of all divisors σ(n): 2073926260224000
• Sum of proper divisors (its aliquot sum) s(n): 1593787768120800
• 480138492103200 is an abundant number, because the sum of its proper divisors (1593787768120800) is greater than itself. Its abundance is 1113649276017600

Bases of 480138492103200

• Binary: 1101101001010111011110100010000111100101000100000₂
• Hexadecimal: 0x1B4AEF443CA20
• Base-36: 4Q70KTE140

Squares and roots of 480138492103200

• 480138492103200 squared (480138492103200²) is 230532971599134648759450240000
• 480138492103200 cubed (480138492103200³) is 110687753363678341429342804734613344768000000
• The square root of 480138492103200 is 21912062.7076320681
• The cube root of 480138492103200 is 78304.8823527899

Scales and comparisons

• 480,138,492,103,200 seconds is equal to 15,266,918 years, 45 weeks, 6 days, 10 hours.
• To count from 1 to 480,138,492,103,200 would take you about thirty-eight million, one hundred sixty-seven thousand, two hundred ninety-seven 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 480138492103200 cubic inches would be around 6525.4 feet tall.

Recreational maths with 480138492103200

• 480138492103200 backwards is 002301294831084
• 480138492103200 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 480138492103200's digits is 45
• More coming soon!