513482945908352000

Names of 513482945908352000

• Cardinal: 513482945908352000 can be written as Five hundred thirteen quadrillion, four hundred eighty-two trillion, nine hundred forty-five billion, nine hundred eight million, three hundred fifty-two thousand.

Scientific notation

• Scientific notation: 5.13482945908352 × 10¹⁷

Factors of 513482945908352000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 302100256

Divisors of 513482945908352000

• Number of divisors d(n): 528
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 128 140 160 175 196 200 224 245 250 256 271 280 320 350 392 400 448 490 500 512 542 560 640 700 784 800 875 896 980 1000 1024 1084 1120 1225 1280 1355 1400 1568 1600 1750 1792 1897 1960 2000 2168 2240 2450 2560 2710 2800 3136 3200 3500 3584 3794 3920 4000 4336 4480 4900 5120 5420 5600 6125 6272 6400 6775 7000 7168 7588 7840 8000 8672 8960 9485 9800 10840 11200 12250 12544 12800 13279 13550 14000 15176 15680 16000 17344 17920 18970 19600 21680 22400 24500 25088 25600 26558 27100 28000 30352 31360 32000 33875 34688 35840 37940 39200 43360 44800 47425 49000 50176 53116 54200 56000 60704 62720 64000 66395 67750 69376 75880 78400 86720 89600 94850 98000 106232 108400 112000 121408 125440 128000 132790 135500 138752 151760 156800 173440 179200 189700 196000 212464 216800 224000 237125 242816 250880 265580 271000 277504 303520 313600 331975 346880 379400 392000 424928 433600 448000 474250 485632 531160 542000 607040 627200 663950 693760 758800 784000 849856 867200 896000 948500 971264 1062320 1084000 1214080 1254400 1327900 1387520 1517600 1568000 1659875 1699712 1734400 1897000 1942528 2124640 2168000 2428160 2655800 3035200 3136000 3319750 3399424 3468800 3794000 4249280 4336000 4856320 5311600 6070400 6272000 6639500 6798848 6937600 7588000 8498560 8672000 9712640 10623200 12140800 13279000 13597696 15176000 16997120 17344000 21246400 24281600 26558000 30352000 33994240 34688000 42492800 48563200 53116000 60704000 67988480 84985600 106232000 121408000 169971200 212464000 242816000 302099971 339942400 424928000 604199942 849856000 1208399884 1510499855 1699712000 2114699797 2416799768 3020999710 4229399594 4833599536 6041999420 7552499275 8458799188 9667199072 10573498985 12083998840 14802898579 15104998550 16917598376 19334398144 21146997970 24167997680 29605797158 30209997100 33835196752 37762496375 38668796288 42293995940 48335995360 52867494925 59211594316 60419994200 67670393504 74014492895 75524992750 77337592576 81869092141 84587991880 96671990720 105734989850 118423188632 120839988400 135340787008 148028985790 151049985500 154675185152 163738184282 169175983760 193343981440 211469979700 236846377264 241679976800 264337474625 270681574016 296057971580 302099971000 309350370304 327476368564 338351967520 370072464475 386687962880 409345460705 422939959400 473692754528 483359953600 528674949250 541363148032 573083644987 592115943160 604199942000 654952737128 676703935040 740144928950 773375925760 818690921410 845879918800 947385509056 966719907200 1057349898500 1082726296064 1146167289974 1184231886320 1208399884000 1309905474256 1353407870080 1480289857900 1546751851520 1637381842820 1691759837600 1850362322375 1894771018112 1933439814400 2046727303525 2114699797000 2165452592128 2292334579948 2368463772640 2416799768000 2619810948512 2706815740160 2865418224935 2960579715800 3274763685640 3383519675200 3700724644750 3789542036224 3866879628800 4011585514909 4093454607050 4229399594000 4584669159896 4736927545280 4833599536000 5239621897024 5413631480320 5730836449870 5921159431600 6549527371280 6767039350400 7401449289500 7579084072448 7733759257600 8023171029818 8186909214100 8458799188000 9169338319792 9473855090560 9667199072000 10233636517625 10479243794048 10827262960640 11461672899740 11842318863200 13099054742560 13534078700800 14327091124675 14802898579000 15158168144896 16046342059636 16373818428200 16917598376000 18338676639584 18947710181120 19334398144000 20057927574545 20467273035250 20958487588096 22923345799480 23684637726400 26198109485120 27068157401600 28654182249350 29605797158000 32092684119272 32747636856400 33835196752000 36677353279168 37895420362240 38668796288000 40115855149090 40934546070500 41916975176192 45846691598960 47369275452800 52396218970240 54136314803200 57308364498700 59211594316000 64185368238544 65495273712800 67670393504000 71635455623375 73354706558336 75790840724480 80231710298180 81869092141000 83833950352384 91693383197920 94738550905600 100289637872725 104792437940480 114616728997400 118423188632000 128370736477088 130990547425600 135340787008000 143270911246750 146709413116672 160463420596360 163738184282000 183386766395840 189477101811200 200579275745450 209584875880960 229233457994800 236846377264000 256741472954176 261981094851200 270681574016000 286541822493500 293418826233344 320926841192720 327476368564000 366773532791680 378954203622400 401158551490900 419169751761920 458466915989600 473692754528000 501448189363625 513482945908352 523962189702400 573083644987000 586837652466688 641853682385440 654952737128000 733547065583360 802317102981800 916933831979200 947385509056000 1002896378727250 1026965891816704 1047924379404800 1146167289974000 1283707364770880 1309905474256000 1467094131166720 1604634205963600 1833867663958400 1894771018112000 2005792757454500 2053931783633408 2095848758809600 2292334579948000 2567414729541760 2619810948512000 2934188262333440 3209268411927200 3667735327916800 4011585514909000 4107863567266816 4584669159896000 5134829459083520 5239621897024000 6418536823854400 7335470655833600 8023171029818000 9169338319792000 10269658918167040 10479243794048000 12837073647708800 14670941311667200 16046342059636000 18338676639584000 20539317836334080 25674147295417600 32092684119272000 36677353279168000 51348294590835200 64185368238544000 73354706558336000 102696589181670400 128370736477088000 256741472954176000 513482945908352000
• Sum of all divisors σ(n): 1495673798762946816
• Sum of proper divisors (its aliquot sum) s(n): 982190852854594816
• 513482945908352000 is an abundant number, because the sum of its proper divisors (982190852854594816) is greater than itself. Its abundance is 468707906946242816

Bases of 513482945908352000

• Binary: 11100100000010000100000010011001101000101101010010000000000₂
• Hexadecimal: 0x7204204CD16A400
• Base-36: 3WFYIGU91RSW

Squares and roots of 513482945908352000

• 513482945908352000 squared (513482945908352000²) is 263664735738719545938383355904000000
• 513482945908352000 cubed (513482945908352000³) is 135387345239264853015241251120791455382110208000000000
• The square root of 513482945908352000 is 716577243.5043915069
• The cube root of 513482945908352000 is 800771.6231684229

Scales and comparisons

• 513,482,945,908,352,000 seconds is equal to 16,327,169,372 years, 44 weeks, 1 day, 53 minutes, 20 seconds.
• To count from 1 to 513,482,945,908,352,000 would take you about forty-eight billion, nine hundred eighty-one million, five hundred eight thousand, one hundred eighteen 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 513482945908352000 cubic inches would be around 66731 feet tall.

Recreational maths with 513482945908352000

• 513482945908352000 backwards is 000253809549284315
• The number of decimal digits it has is: 18
• The sum of 513482945908352000's digits is 68
• More coming soon!