45478258704000

Names of 45478258704000

• Cardinal: 45478258704000 can be written as Forty-five trillion, four hundred seventy-eight billion, two hundred fifty-eight million, seven hundred four thousand.

Scientific notation

• Scientific notation: 4.5478258704 × 10¹³

Factors of 45478258704000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 237

Divisors of 45478258704000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 81 90 96 100 108 120 125 128 135 144 150 160 162 180 192 200 216 225 227 240 243 250 270 288 300 320 324 360 375 384 400 405 432 450 454 480 486 500 540 576 600 640 648 675 681 720 750 800 810 864 900 908 960 972 1000 1080 1125 1135 1152 1200 1215 1296 1350 1362 1440 1500 1600 1620 1728 1800 1816 1920 1944 2000 2025 2043 2160 2250 2270 2400 2430 2592 2700 2724 2880 3000 3200 3240 3375 3405 3456 3600 3632 3888 4000 4050 4086 4320 4500 4540 4800 4860 5184 5400 5448 5675 5760 6000 6075 6129 6480 6750 6810 7200 7264 7776 8000 8100 8172 8640 9000 9080 9600 9720 10125 10215 10368 10800 10896 11350 12000 12150 12258 12960 13500 13620 14400 14528 15552 16000 16200 16344 17025 17280 18000 18160 18387 19440 20250 20430 21600 21792 22700 24000 24300 24516 25920 27000 27240 28375 28800 29056 30375 30645 31104 32400 32688 34050 36000 36320 36774 38880 40500 40860 43200 43584 45400 48000 48600 49032 51075 51529 51840 54000 54480 55161 56750 60750 61290 64800 65376 68100 72000 72640 73548 77760 81000 81720 85125 86400 87168 90800 91935 97200 98064 102150 103058 108000 108960 110322 113500 121500 122580 129600 130752 136200 144000 145280 147096 153225 154587 155520 162000 163440 170250 181600 183870 194400 196128 204300 206116 216000 217920 220644 227000 243000 245160 255375 257645 259200 261504 272400 275805 294192 306450 309174 324000 326880 340500 363200 367740 388800 392256 408600 412232 432000 435840 441288 454000 459675 463761 486000 490320 510750 515290 544800 551610 588384 612900 618348 648000 653760 681000 726400 735480 766125 772935 777600 784512 817200 824464 882576 908000 919350 927522 972000 980640 1021500 1030580 1089600 1103220 1176768 1225800 1236696 1288225 1296000 1307520 1362000 1379025 1391283 1470960 1532250 1545870 1634400 1648928 1765152 1816000 1838700 1855044 1944000 1961280 2043000 2061160 2179200 2206440 2298375 2318805 2353536 2451600 2473392 2576450 2724000 2758050 2782566 2941920 3064500 3091740 3268800 3297856 3530304 3632000 3677400 3710088 3864675 3888000 3922560 4086000 4122320 4173849 4412880 4596750 4637610 4903200 4946784 5152900 5448000 5516100 5565132 5883840 6129000 6183480 6441125 6537600 6595712 6895125 6956415 7060608 7354800 7420176 7729350 8172000 8244640 8347698 8825760 9193500 9275220 9806400 9893568 10305800 10896000 11032200 11130264 11594025 11697083 11767680 12258000 12366960 12521547 12882250 13790250 13912830 14709600 14840352 15458700 16344000 16489280 16695396 17651520 18387000 18550440 19323375 19612800 19787136 20611600 20869245 22064400 22260528 23188050 23394166 24516000 24733920 25043094 25764500 27580500 27825660 29419200 29680704 30917400 32688000 32978560 33390792 34782075 35091249 35303040 36774000 37100880 38646750 41223200 41738490 44128800 44521056 46376100 46788332 49032000 49467840 50086188 51529000 55161000 55651320 57970125 58485415 58838400 59361408 61834800 62607735 66781584 69564150 70182498 73548000 74201760 77293500 82446400 83476980 88257600 89042112 92752200 93576664 98064000 98935680 100172376 103058000 104346225 105273747 110322000 111302640 115940250 116970830 123669600 125215470 133563168 139128300 140364996 147096000 148403520 154587000 164892800 166953960 173910375 175456245 176515200 178084224 185504400 187153328 200344752 206116000 208692450 210547494 220644000 222605280 231880500 233941660 247339200 250430940 267126336 278256600 280729992 292427075 294192000 296807040 309174000 313038675 315821241 333907920 347820750 350912490 371008800 374306656 400689504 412232000 417384900 421094988 441288000 445210560 463761000 467883320 494678400 500861880 521731125 526368735 534252672 556513200 561459984 584854150 618348000 626077350 631642482 667815840 695641500 701824980 742017600 748613312 801379008 824464000 834769800 842189976 877281225 882576000 890421120 927522000 935766640 947463723 1001723760 1043462250 1052737470 1113026400 1122919968 1169708300 1236696000 1252154700 1263284964 1335631680 1391283000 1403649960 1462135375 1484035200 1497226624 1565193375 1579106205 1602758016 1669539600 1684379952 1754562450 1855044000 1871533280 1894927446 2003447520 2086924500 2105474940 2226052800 2245839936 2339416600 2473392000 2504309400 2526569928 2631843675 2671263360 2782566000 2807299920 2842391169 2924270750 3130386750 3158212410 3339079200 3368759904 3509124900 3710088000 3743066560 3789854892 4006895040 4173849000 4210949880 4386406125 4452105600 4491679872 4678833200 4737318615 5008618800 5053139856 5263687350 5565132000 5614599840 5684782338 5848541500 6260773500 6316424820 6678158400 6737519808 7018249800 7420176000 7486133120 7579709784 7895531025 8013790080 8347698000 8421899760 8772812250 9357666400 9474637230 10017237600 10106279712 10527374700 11130264000 11229199680 11369564676 11697083000 12521547000 12632849640 13159218375 13356316800 13475039616 14036499600 14211955845 15159419568 15791062050 16695396000 16843799520 17545624500 18715332800 18949274460 20034475200 20212559424 21054749400 22260528000 22458399360 22739129352 23394166000 23686593075 25043094000 25265699280 26318436750 28072999200 28423911690 30318839136 31582124100 33390792000 33687599040 35091249000 37430665600 37898548920 39477655125 40068950400 40425118848 42109498800 45478258704 46788332000 47373186150 50086188000 50531398560 52636873500 56145998400 56847823380 60637678272 63164248200 66781584000 67375198080 70182498000 71059779225 75797097840 78955310250 84218997600 90956517408 93576664000 94746372300 100172376000 101062797120 105273747000 112291996800 113695646760 118432965375 121275356544 126328496400 140364996000 142119558450 151594195680 157910620500 168437995200 181913034816 187153328000 189492744600 200344752000 202125594240 210547494000 227391293520 236865930750 252656992800 280729992000 284239116900 303188391360 315821241000 336875990400 355298896125 363826069632 378985489200 421094988000 454782587040 473731861500 505313985600 561459984000 568478233800 606376782720 631642482000 710597792250 757970978400 842189976000 909565174080 947463723000 1010627971200 1136956467600 1263284964000 1421195584500 1515941956800 1684379952000 1819130348160 1894927446000 2273912935200 2526569928000 2842391169000 3031883913600 3789854892000 4547825870400 5053139856000 5684782338000 7579709784000 9095651740800 11369564676000 15159419568000 22739129352000 45478258704000
• Sum of all divisors σ(n): 170122263292800
• Sum of proper divisors (its aliquot sum) s(n): 124644004588800
• 45478258704000 is an abundant number, because the sum of its proper divisors (124644004588800) is greater than itself. Its abundance is 79165745884800

Bases of 45478258704000

• Binary: 1010010101110010111011011101000111111010000000₂
• Hexadecimal: 0x295CBB747E80
• Base-36: G4CF90O00

Squares and roots of 45478258704000

• 45478258704000 squared (45478258704000²) is 2068272014747951759616000000
• 45478258704000 cubed (45478258704000³) is 94061409756950653477928467697664000000000
• The square root of 45478258704000 is 6743757.0169750333
• The cube root of 45478258704000 is 35694.4977891251

Scales and comparisons

• 45,478,258,704,000 seconds is equal to 1,446,067 years, 49 weeks, 4 days.
• To count from 1 to 45,478,258,704,000 would take you about three million, six hundred fifteen thousand, one hundred sixty-nine 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 45478258704000 cubic inches would be around 2974.5 feet tall.

Recreational maths with 45478258704000

• 45478258704000 backwards is 00040785287454
• 45478258704000 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 45478258704000's digits is 54
• More coming soon!