45378457824000

Names of 45378457824000

• Cardinal: 45378457824000 can be written as Forty-five trillion, three hundred seventy-eight billion, four hundred fifty-seven million, eight hundred twenty-four thousand.

Scientific notation

• Scientific notation: 4.5378457824 × 10¹³

Factors of 45378457824000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 16367

Divisors of 45378457824000

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 256 280 294 300 320 336 350 375 384 392 400 420 448 480 490 500 525 560 588 600 613 640 672 700 735 750 768 784 800 840 875 896 960 980 1000 1050 1120 1176 1200 1225 1226 1280 1344 1400 1470 1500 1568 1600 1680 1750 1792 1839 1920 1960 2000 2100 2240 2352 2400 2450 2452 2625 2688 2800 2940 3000 3065 3136 3200 3360 3500 3675 3678 3840 3920 4000 4200 4291 4480 4704 4800 4900 4904 5250 5376 5600 5880 6000 6125 6130 6272 6400 6720 7000 7350 7356 7840 8000 8400 8582 8960 9195 9408 9600 9800 9808 10500 11200 11760 12000 12250 12260 12544 12873 13440 14000 14700 14712 15325 15680 15737 16000 16800 17164 18375 18390 18816 19200 19600 19616 21000 21455 22400 23520 24000 24500 24520 25746 26880 28000 29400 29424 30037 30650 31360 31474 32000 33600 34328 36750 36780 37632 39200 39232 42000 42910 44800 45975 47040 47211 48000 49000 49040 51492 56000 58800 58848 60074 61300 62720 62948 64365 67200 68656 73500 73560 76625 78400 78464 78685 84000 85820 90111 91950 94080 94422 96000 98000 98080 102984 107275 110159 112000 117600 117696 120148 122600 125896 128730 134400 137312 147000 147120 150185 153250 156800 156928 157370 168000 171640 180222 183900 188160 188844 196000 196160 205968 214550 220318 224000 229875 235200 235392 236055 240296 245200 251792 257460 274624 294000 294240 300370 306500 313600 314740 321825 330477 336000 343280 360444 367800 377688 392000 392320 393425 411936 429100 440636 450555 459750 470400 470784 472110 480592 490400 503584 514920 536375 549248 550795 588000 588480 600740 613000 629480 643650 660954 672000 686560 720888 735600 750925 755376 771113 784000 784640 786850 823872 858200 881272 901110 919500 940800 944220 961184 980800 1007168 1029840 1072750 1098496 1101590 1176000 1176960 1180275 1201480 1226000 1258960 1287300 1321908 1373120 1441776 1471200 1501850 1510752 1542226 1568000 1573700 1609125 1647744 1652385 1716400 1762544 1802220 1839000 1888440 1922368 1961600 1967125 2014336 2059680 2145500 2203180 2252775 2313339 2352000 2353920 2360550 2402960 2452000 2517920 2574600 2643816 2746240 2753975 2883552 2942400 3003700 3021504 3084452 3147400 3218250 3295488 3304770 3432800 3525088 3604440 3678000 3754625 3776880 3844736 3855565 3923200 3934250 4028672 4119360 4291000 4406360 4505550 4626678 4704000 4721100 4805920 4904000 5035840 5149200 5287632 5492480 5507950 5767104 5884800 5901375 6007400 6043008 6168904 6294800 6436500 6609540 6865600 7050176 7208880 7356000 7509250 7553760 7689472 7711130 7868500 8238720 8261925 8582000 8812720 9011100 9253356 9442200 9611840 9646781 9808000 10071680 10298400 10575264 11015900 11263875 11534208 11566695 11769600 11802750 12014800 12086016 12337808 12589600 12873000 13219080 13731200 13769875 14100352 14417760 14712000 15018500 15107520 15422260 15737000 16477440 16523850 17164000 17625440 18022200 18506712 18884400 19223680 19277825 19293562 19616000 20143360 20596800 21150528 22031800 22527750 23068416 23133390 23605500 24029600 24675616 25179200 25746000 26438160 27462400 27539750 28200704 28835520 28940343 29424000 30037000 30215040 30844520 31474000 33047700 34328000 35250880 36044400 37013424 37768800 38447360 38555650 38587124 41193600 41309625 42301056 44063600 45055500 46266780 47211000 48059200 48233905 49351232 50358400 51492000 52876320 55079500 57671040 57833475 57880686 58848000 60074000 60430080 61689040 62948000 66095400 67527467 68656000 70501760 72088800 74026848 75537600 77111300 77174248 82387200 82619250 84602112 88127200 90111000 92533560 94422000 96118400 96389125 96467810 98702464 100716800 102984000 105752640 110159000 115342080 115666950 115761372 120148000 123378080 125896000 132190800 135054934 137312000 141003520 144177600 144701715 148053696 151075200 154222600 154348496 165238500 176254400 180222000 185067120 188844000 192236800 192778250 192935620 197404928 202582401 205968000 211505280 220318000 231333900 231522744 240296000 241169525 246756160 251792000 264381600 270109868 288355200 289167375 289403430 296107392 302150400 308445200 308696992 330477000 337637335 352508800 360444000 370134240 377688000 385556500 385871240 405164802 411936000 423010560 440636000 462667800 463045488 472692269 480592000 482339050 493512320 503584000 528763200 540219736 576710400 578334750 578806860 592214784 616890400 617393984 660954000 675274670 705017600 720888000 723508575 740268480 755376000 771113000 771742480 810329604 881272000 925335600 926090976 945384538 961184000 964678100 987024640 1012912005 1057526400 1080439472 1156669500 1157613720 1205847625 1233780800 1234787968 1321908000 1350549340 1418076807 1441776000 1447017150 1480536960 1510752000 1542226000 1543484960 1620659208 1688186675 1762544000 1850671200 1852181952 1890769076 1929356200 2025824010 2115052800 2160878944 2313339000 2315227440 2363461345 2411695250 2467561600 2469575936 2643816000 2701098680 2836153614 2883552000 2894034300 2961073920 3084452000 3086969920 3241318416 3376373350 3525088000 3617542875 3701342400 3704363904 3781538152 3858712400 4051648020 4321757888 4626678000 4630454880 4726922690 4823390500 4935123200 5064560025 5287632000 5402197360 5672307228 5788068600 6168904000 6173939840 6482636832 6752746700 7090384035 7235085750 7402684800 7408727808 7563076304 7717424800 8103296040 8440933375 8643515776 9253356000 9260909760 9453845380 9646781000 10129120050 10575264000 10804394720 11344614456 11576137200 11817306725 12337808000 12347879680 12965273664 13505493400 14180768070 14470171500 14805369600 15126152608 15434849600 16206592080 16881866750 17287031552 18506712000 18521819520 18907690760 19293562000 20258240100 21608789440 22689228912 23152274400 23634613450 24675616000 25322800125 25930547328 27010986800 28361536140 28940343000 30252305216 30869699200 32413184160 33763733500 35451920175 37013424000 37043639040 37815381520 38587124000 40516480200 43217578880 45378457824 46304548800 47269226900 50645600250 51861094656 54021973600 56723072280 57880686000 59086533625 60504610432 61739398400 64826368320 67527467000 70903840350 74026848000 75630763040 77174248000 81032960400 86435157760 90756915648 92609097600 94538453800 101291200500 108043947200 113446144560 115761372000 118173067250 121009220864 129652736640 135054934000 141807680700 151261526080 154348496000 162065920800 177259600875 181513831296 185218195200 189076907600 202582401000 216087894400 226892289120 231522744000 236346134500 259305473280 270109868000 283615361400 302523052160 308696992000 324131841600 354519201750 363027662592 378153815200 405164802000 432175788800 453784578240 463045488000 472692269000 540219736000 567230722800 605046104320 648263683200 709038403500 756307630400 810329604000 907569156480 926090976000 945384538000 1080439472000 1134461445600 1296527366400 1418076807000 1512615260800 1620659208000 1815138312960 1890769076000 2160878944000 2268922891200 2836153614000 3025230521600 3241318416000 3781538152000 4537845782400 5672307228000 6482636832000 7563076304000 9075691564800 11344614456000 15126152608000 22689228912000 45378457824000
• Sum of all divisors σ(n): 175629820556736
• Sum of proper divisors (its aliquot sum) s(n): 130251362732736
• 45378457824000 is an abundant number, because the sum of its proper divisors (130251362732736) is greater than itself. Its abundance is 84872904908736

Bases of 45378457824000

• Binary: 1010010100010101111110110110111110101100000000₂
• Hexadecimal: 0x29457EDBEB00
• Base-36: G32KQ5G5C

Squares and roots of 45378457824000

• 45378457824000 squared (45378457824000²) is 2059204434484546814976000000
• 45378457824000 cubed (45378457824000³) is 93443521581250778823141947572224000000000
• The square root of 45378457824000 is 6736353.4515344427
• The cube root of 45378457824000 is 35668.3684444171

Scales and comparisons

• 45,378,457,824,000 seconds is equal to 1,442,894 years, 30 weeks, 6 days, 5 hours, 20 minutes.
• To count from 1 to 45,378,457,824,000 would take you about three million, six hundred seven thousand, two hundred 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 45378457824000 cubic inches would be around 2972.4 feet tall.

Recreational maths with 45378457824000

• 45378457824000 backwards is 00042875487354
• The number of decimal digits it has is: 14
• The sum of 45378457824000's digits is 57
• More coming soon!