381268145242816000

Names of 381268145242816000

• Cardinal: 381268145242816000 can be written as Three hundred eighty-one quadrillion, two hundred sixty-eight trillion, one hundred forty-five billion, two hundred forty-two million, eight hundred sixteen thousand.

Scientific notation

• Scientific notation: 3.81268145242816 × 10¹⁷

Factors of 381268145242816000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 2306

Divisors of 381268145242816000

• Number of divisors d(n): 1440
• Complete list of divisors:
  1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 64 65 76 80 95 100 104 125 128 130 152 160 169 190 200 208 247 250 256 260 304 320 325 338 361 380 400 416 475 494 500 512 520 608 640 650 676 722 760 800 832 845 950 988 1000 1040 1216 1235 1280 1300 1352 1444 1520 1600 1625 1664 1690 1805 1900 1976 2000 2080 2267 2375 2432 2470 2560 2600 2704 2888 3040 3200 3211 3250 3328 3380 3610 3800 3952 4000 4160 4225 4534 4693 4750 4864 4940 5200 5408 5776 6080 6175 6400 6422 6500 6656 6760 6859 7220 7600 7904 8000 8320 8450 9025 9068 9386 9500 9728 9880 10400 10816 11335 11552 12160 12350 12800 12844 13000 13520 13718 14440 15200 15808 16000 16055 16640 16900 18050 18136 18772 19000 19760 20800 21125 21632 22670 23104 23465 24320 24700 25688 26000 27040 27436 28880 29471 30400 30875 31616 32000 32110 33280 33800 34295 36100 36272 37544 38000 39520 41600 42250 43073 43264 45125 45340 46208 46930 48640 49400 51376 52000 54080 54872 56675 57760 58942 60800 61009 61750 63232 64000 64220 67600 68590 72200 72544 75088 76000 79040 80275 83200 84500 86146 86528 89167 90250 90680 92416 93860 98800 102752 104000 108160 109744 113350 115520 117325 117884 121600 122018 123500 126464 128440 135200 137180 144400 145088 147355 150176 152000 158080 160550 166400 169000 171475 172292 178334 180500 181360 184832 187720 197600 205504 208000 215365 216320 219488 226700 231040 234650 235768 243200 244036 247000 256880 270400 274360 283375 288800 290176 294710 300352 304000 305045 316160 321100 338000 342950 344584 356668 361000 362720 375440 383123 395200 401375 411008 416000 430730 432640 438976 445835 453400 462080 469300 471536 488072 494000 513760 540800 548720 559949 566750 577600 580352 586625 589420 600704 608000 610090 632320 642200 676000 685900 689168 713336 722000 725440 736775 750880 766246 790400 802750 818387 822016 832000 857375 861460 877952 891670 906800 924160 938600 943072 976144 988000 1027520 1076825 1081600 1097440 1119898 1133500 1155200 1159171 1160704 1173250 1178840 1201408 1216000 1220180 1284400 1352000 1371800 1378336 1426672 1444000 1450880 1473550 1501760 1525225 1532492 1580800 1605500 1636774 1644032 1714750 1722920 1755904 1783340 1813600 1877200 1886144 1915615 1952288 1976000 2055040 2153650 2163200 2194880 2229175 2239796 2267000 2310400 2318342 2346500 2357680 2402816 2440360 2568800 2704000 2743600 2756672 2799745 2853344 2888000 2901760 2947100 3003520 3050450 3064984 3161600 3211000 3273548 3429500 3445840 3511808 3566680 3627200 3683875 3754400 3772288 3831230 3904576 3952000 4091935 4110080 4307300 4389760 4458350 4479592 4534000 4620800 4636684 4693000 4715360 4880720 5137600 5139289 5384125 5408000 5487200 5513344 5599490 5706688 5776000 5795855 5803520 5894200 6007040 6100900 6129968 6422000 6547096 6859000 6891680 7133360 7254400 7279337 7367750 7508800 7544576 7626125 7662460 7809152 7904000 8183870 8220160 8614600 8779520 8916700 8959184 9068000 9273368 9386000 9430720 9578075 9761440 10275200 10278578 10639031 10768250 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442583689600 444692398592 458254982263 463820832250 465877568000 474952532224 482373665540 497579296000 507761753200 517482467840 525568131400 528072223328 534486056000 553229612000 555865498240 564006132016 593690665280 602967081925 624937542400 627085765202 634702191500 646853084800 649935044096 656960164250 660090279160 672727208192 680897984000 694831872800 705007665020 742113331600 771797864864 781171928000 808566356000 812418805120 825112848950 840909010240 855177689600 868539841000 881259581275 885167379200 916509964526 927641664500 949905064448 964747331080 995158592000 1015523506400 1051136262800 1056144446656 1068972112000 1106459224000 1111730996480 1128012264032 1187381330560 1205934163850 1249875084800 1254171530404 1269404383000 1293706169600 1313920328500 1320180558320 1345454416384 1389663745600 1410015330040 1484226663200 1543595729728 1562343856000 1567714413005 1617132712000 1624837610240 1650225697900 1681818020480 1737079682000 1762519162550 1770334758400 1833019929052 1855283329000 1929494662160 2031047012800 2062782122375 2102272525600 2112288893312 2137944224000 2212918448000 2223461992960 2256024528064 2291274911315 2374762661120 2411868327700 2508343060808 2538808766000 2587412339200 2627840657000 2640361116640 2779327491200 2820030660080 2968453326400 3014835409625 3087191459456 3124687712000 3135428826010 3234265424000 3249675220480 3300451395800 3363636040960 3474159364000 3525038325100 3666039858104 3710566658000 3858989324320 4062094025600 4125564244750 4204545051200 4224577786624 4275888448000 4406297906375 4425836896000 4512049056128 4582549822630 4749525322240 4823736655400 5016686121616 5077617532000 5255681314000 5280722233280 5558654982400 5640061320160 5936906652800 5957314769419 6029670819250 6174382918912 6249375424000 6270857652020 6468530848000 6600902791600 6727272081920 6948318728000 7050076650200 7332079716208 7421133316000 7717978648640 7838572065025 8124188051200 8251128489500 8409090102400 8449155573248 8812595812750 8851673792000 9024098112256 9165099645260 9647473310800 10033372243232 10155235064000 10511362628000 10561444466560 11117309964800 11280122640320 11456374556575 11873813305600 11914629538838 12059341638500 12348765837824 12541715304040 12937061696000 13201805583200 13896637456000 14100153300400 14664159432416 14842266632000 15435957297280 15677144130050 16248376102400 16502256979000 16818180204800 17625191625500 18048196224512 18330199290520 19294946621600 20066744486464 20310470128000 21022725256000 21122888933120 22560245280640 22912749113150 23747626611200 23829259077676 24118683277000 25083430608080 26403611166400 27793274912000 28200306600800 29328318864832 29684533264000 29786573847095 30871914594560 31354288260100 33004513958000 33636360409600 35250383251000 36660398581040 38589893243200 39192860325125 40133488972928 40620940256000 42045450512000 42245777866240 45120490561280 45825498226300 47658518155352 48237366554000 50166861216160 52807222332800 55586549824000 56400613201600 57281872782875 58656637729664 59369066528000 59573147694190 61743829189120 62708576520200 66009027916000 70500766502000 73320797162080 77179786486400 78385720650250 80266977945856 81241880512000 84090901024000 90240981122560 91650996452600 95317036310704 96474733108000 100333722432320 105614444665600 112801226403200 114563745565750 117313275459328 118738133056000 119146295388380 125417153040400 132018055832000 141001533004000 146641594324160 148932869235475 154359572972800 156771441300500 160533955891712 168181802048000 183301992905200 190634072621408 192949466216000 200667444864640 211228889331200 225602452806400 229127491131500 234626550918656 238292590776760 250834306080800 264036111664000 282003066008000 293283188648320 297865738470950 308719145945600 313542882601000 366603985810400 381268145242816 385898932432000 401334889729280 451204905612800 458254982263000 476585181553520 501668612161600 528072223328000 564006132016000 586566377296640 595731476941900 627085765202000 733207971620800 744664346177375 762536290485632 771797864864000 802669779458560 916509964526000 953170363107040 1003337224323200 1056144446656000 1128012264032000 1173132754593280 1191462953883800 1254171530404000 1466415943241600 1489328692354750 1525072580971264 1543595729728000 1833019929052000 1906340726214080 2006674448646400 2256024528064000 2382925907767600 2508343060808000 2932831886483200 2978657384709500 3050145161942528 3666039858104000 3812681452428160 4013348897292800 4765851815535200 5016686121616000 5865663772966400 5957314769419000 7332079716208000 7625362904856320 9531703631070400 10033372243232000 11914629538838000 14664159432416000 15250725809712640 19063407262140800 20066744486464000 23829259077676000 29328318864832000 38126814524281600 47658518155352000 76253629048563200 95317036310704000 190634072621408000 381268145242816000
• Sum of all divisors σ(n): 1087137665569818720
• Sum of proper divisors (its aliquot sum) s(n): 705869520327002720
• 381268145242816000 is an abundant number, because the sum of its proper divisors (705869520327002720) is greater than itself. Its abundance is 324601375084186720

Bases of 381268145242816000

• Binary: 10101001010100010010101101110101001010111101011111000000000₂
• Hexadecimal: 0x54A895BA95EBE00
• Base-36: 2WA49ZX5S4CG

Squares and roots of 381268145242816000

• 381268145242816000 squared (381268145242816000²) is 145365398576897036851599609856000000
• 381268145242816000 cubed (381268145242816000³) is 55423195897896217717253854432678847986794496000000000
• The square root of 381268145242816000 is 617469145.1747334071
• The cube root of 381268145242816000 is 725120.4842918789

Scales and comparisons

• 381,268,145,242,816,000 seconds is equal to 12,123,147,678 years, 47 weeks, 4 days, 4 hours, 26 minutes, 40 seconds.
• To count from 1 to 381,268,145,242,816,000 would take you about thirty-six billion, three hundred sixty-nine million, four hundred forty-three thousand and thirty-six 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 381268145242816000 cubic inches would be around 60426.7 feet tall.

Recreational maths with 381268145242816000

• 381268145242816000 backwards is 000618242541862183
• The number of decimal digits it has is: 18
• The sum of 381268145242816000's digits is 61
• More coming soon!