45638823936000

Names of 45638823936000

• Cardinal: 45638823936000 can be written as Forty-five trillion, six hundred thirty-eight billion, eight hundred twenty-three million, nine hundred thirty-six thousand.

Scientific notation

• Scientific notation: 4.5638823936 × 10¹³

Factors of 45638823936000

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 2760

Divisors of 45638823936000

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 60 64 74 75 80 96 100 111 120 125 128 148 150 160 185 192 200 222 240 250 256 296 300 320 370 375 384 400 444 480 500 512 555 592 600 640 740 750 768 800 888 925 960 1000 1024 1110 1184 1200 1280 1369 1480 1500 1536 1600 1776 1850 1920 2000 2048 2220 2368 2400 2560 2713 2738 2775 2960 3000 3072 3200 3552 3700 3840 4000 4096 4107 4440 4625 4736 4800 5120 5426 5476 5550 5920 6000 6144 6400 6845 7104 7400 7680 8000 8139 8192 8214 8880 9250 9472 9600 10240 10852 10952 11100 11840 12000 12288 12800 13565 13690 13875 14208 14800 15360 16000 16278 16384 16428 17760 18500 18944 19200 20480 20535 21704 21904 22200 23680 24000 24576 25600 27130 27380 27750 28416 29600 30720 32000 32556 32768 32856 34225 35520 37000 37888 38400 40695 40960 41070 43408 43808 44400 47360 48000 49152 51200 54260 54760 55500 56832 59200 61440 64000 65112 65712 67825 68450 71040 74000 75776 76800 81390 81920 82140 86816 87616 88800 94720 96000 98304 100381 102400 102675 108520 109520 111000 113664 118400 122880 128000 130224 131424 135650 136900 142080 148000 151552 153600 162780 163840 164280 171125 173632 175232 177600 189440 192000 200762 203475 204800 205350 217040 219040 222000 227328 236800 245760 256000 260448 262848 271300 273800 284160 296000 301143 303104 307200 325560 328560 339125 342250 347264 350464 355200 378880 384000 401524 406950 409600 410700 434080 438080 444000 454656 473600 491520 501905 512000 513375 520896 525696 542600 547600 568320 592000 602286 606208 614400 651120 657120 678250 684500 694528 700928 710400 757760 768000 803048 813900 819200 821400 868160 876160 888000 909312 947200 1003810 1017375 1024000 1026750 1041792 1051392 1085200 1095200 1136640 1184000 1204572 1212416 1228800 1302240 1314240 1356500 1369000 1389056 1401856 1420800 1505715 1515520 1536000 1606096 1627800 1642800 1736320 1752320 1776000 1818624 1894400 2007620 2034750 2048000 2053500 2083584 2102784 2170400 2190400 2273280 2368000 2409144 2457600 2509525 2604480 2628480 2713000 2738000 2778112 2803712 2841600 3011430 3031040 3072000 3212192 3255600 3285600 3472640 3504640 3552000 3637248 3714097 3788800 4015240 4069500 4096000 4107000 4167168 4205568 4340800 4380800 4546560 4736000 4818288 5019050 5208960 5256960 5426000 5476000 5556224 5607424 5683200 6022860 6062080 6144000 6424384 6511200 6571200 6945280 7009280 7104000 7428194 7528575 7577600 8030480 8139000 8214000 8334336 8411136 8681600 8761600 9093120 9472000 9636576 10038100 10417920 10513920 10852000 10952000 11112448 11142291 11214848 11366400 12045720 12288000 12547625 12848768 13022400 13142400 13890560 14018560 14208000 14856388 15057150 15155200 16060960 16278000 16428000 16668672 16822272 17363200 17523200 18186240 18570485 18944000 19273152 20076200 20835840 21027840 21704000 21904000 22224896 22284582 22429696 22732800 24091440 25095250 25697536 26044800 26284800 27781120 28037120 28416000 29712776 30114300 30310400 32121920 32556000 32856000 33337344 33644544 34726400 35046400 37140970 37642875 37888000 38546304 40152400 41671680 42055680 43408000 43808000 44449792 44569164 44859392 45465600 48182880 50190500 51395072 52089600 52569600 55562240 55711455 56074240 56832000 59425552 60228600 64243840 65112000 65712000 66674688 67289088 69452800 70092800 74281940 75285750 75776000 77092608 80304800 83343360 84111360 86816000 87616000 88899584 89138328 90931200 92852425 96365760 100381000 102790144 104179200 105139200 111124480 111422910 112148480 113664000 118851104 120457200 128487680 130224000 131424000 133349376 134578176 138905600 140185600 148563880 150571500 151552000 154185216 160609600 166686720 168222720 173632000 175232000 178276656 185704850 192731520 200762000 205580288 208358400 210278400 222248960 222845820 224296960 227328000 237702208 240914400 256975360 260448000 262848000 266698752 277811200 278557275 280371200 297127760 301143000 308370432 321219200 333373440 336445440 347264000 350464000 356553312 371409700 385463040 401524000 411160576 416716800 420556800 444497920 445691640 454656000 464262125 475404416 481828800 513950720 520896000 525696000 555622400 557114550 560742400 594255520 602286000 616740864 642438400 666746880 672890880 694528000 700928000 713106624 742819400 770926080 803048000 822321152 833433600 841113600 891383280 928524250 950808832 963657600 1027901440 1041792000 1051392000 1111244800 1114229100 1121484800 1188511040 1204572000 1233481728 1284876800 1333493760 1389056000 1392786375 1401856000 1426213248 1485638800 1541852160 1606096000 1644642304 1666867200 1682227200 1782766560 1857048500 1901617664 1927315200 2055802880 2083584000 2102784000 2222489600 2228458200 2377022080 2409144000 2466963456 2569753600 2778112000 2785572750 2803712000 2852426496 2971277600 3083704320 3212192000 3289284608 3333734400 3364454400 3565533120 3714097000 3803235328 3854630400 4111605760 4167168000 4205568000 4456916400 4754044160 4818288000 4933926912 5139507200 5556224000 5571145500 5607424000 5704852992 5942555200 6167408640 6424384000 6667468800 7131066240 7428194000 7606470656 7709260800 8223211520 8334336000 8411136000 8913832800 9508088320 9636576000 9867853824 10279014400 11112448000 11142291000 11409705984 11885110400 12334817280 12848768000 14262132480 14856388000 15212941312 15418521600 16446423040 16668672000 16822272000 17827665600 19016176640 19273152000 20558028800 22284582000 22819411968 23770220800 24669634560 25697536000 28524264960 29712776000 30425882624 30837043200 33337344000 35655331200 38032353280 38546304000 41116057600 44569164000 45638823936 47540441600 49339269120 51395072000 57048529920 59425552000 60851765248 61674086400 71310662400 76064706560 77092608000 82232115200 89138328000 91277647872 95080883200 102790144000 114097059840 118851104000 121703530496 123348172800 142621324800 152129413120 154185216000 178276656000 182555295744 190161766400 205580288000 228194119680 237702208000 246696345600 285242649600 304258826240 308370432000 356553312000 365110591488 380323532800 411160576000 456388239360 475404416000 570485299200 608517652480 616740864000 713106624000 760647065600 912776478720 950808832000 1140970598400 1233481728000 1426213248000 1521294131200 1825552957440 1901617664000 2281941196800 2852426496000 3042588262400 3803235328000 4563882393600 5704852992000 7606470656000 9127764787200 11409705984000 15212941312000 22819411968000 45638823936000
• Sum of all divisors σ(n): 156157135636320
• Sum of proper divisors (its aliquot sum) s(n): 110518311700320
• 45638823936000 is an abundant number, because the sum of its proper divisors (110518311700320) is greater than itself. Its abundance is 64879487764320

Bases of 45638823936000

• Binary: 1010011000001000011101111000111000000000000000₂
• Hexadecimal: 0x29821DE38000
• Base-36: G6E6PETXC

Squares and roots of 45638823936000

• 45638823936000 squared (45638823936000²) is 2082902250261206532096000000
• 45638823936000 cubed (45638823936000³) is 95061209075569414929262477049856000000000
• The square root of 45638823936000 is 6755651.2592051405
• The cube root of 45638823936000 is 35736.4560326395

Scales and comparisons

• 45,638,823,936,000 seconds is equal to 1,451,173 years, 22 weeks, 2 days, 21 hours, 20 minutes.
• To count from 1 to 45,638,823,936,000 would take you about three million, six hundred twenty-seven thousand, nine hundred thirty-three 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 45638823936000 cubic inches would be around 2978 feet tall.

Recreational maths with 45638823936000

• 45638823936000 backwards is 00063932883654
• The number of decimal digits it has is: 14
• The sum of 45638823936000's digits is 57
• More coming soon!