138723491894428800

Names of 138723491894428800

• Cardinal: 138723491894428800 can be written as One hundred thirty-eight quadrillion, seven hundred twenty-three trillion, four hundred ninety-one billion, eight hundred ninety-four million, four hundred twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.387234918944288 × 10¹⁷

Factors of 138723491894428800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 3893928420

Divisors of 138723491894428800

• Number of divisors d(n): 288
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 128 144 150 160 180 192 200 225 240 288 300 320 360 384 400 450 480 576 600 640 720 800 900 960 1152 1200 1237 1440 1600 1800 1920 2400 2474 2880 3200 3600 3711 4800 4948 5760 6185 7200 7422 9600 9896 11133 12370 14400 14844 18555 19792 22266 24740 28800 29688 30925 37110 39584 44532 49480 55665 59376 61850 74220 79168 89064 92775 98960 111330 118752 123700 148440 158336 178128 185550 197920 222660 237504 247400 278325 296880 356256 371100 395840 445320 475008 494800 556650 593760 712512 742200 791680 890640 989600 1113300 1187520 1425024 1484400 1781280 1979200 2226600 2375040 2968800 3562560 3958400 4453200 5937600 7125120 8906400 11875200 17812800 35625600 3893927173 7787854346 11681781519 15575708692 19469635865 23363563038 31151417384 35045344557 38939271730 46727126076 58408907595 62302834768 70090689114 77878543460 93454252152 97348179325 116817815190 124605669536 140181378228 155757086920 175226722785 186908504304 194696358650 233635630380 249211339072 280362756456 292044537975 311514173840 350453445570 373817008608 389392717300 467271260760 498422678144 560725512912 584089075950 623028347680 700906891140 747634017216 778785434600 876133613925 934542521520 1121451025824 1168178151900 1246056695360 1401813782280 1495268034432 1557570869200 1752267227850 1869085043040 2242902051648 2336356303800 2492113390720 2803627564560 3115141738400 3504534455700 3738170086080 4485804103296 4672712607600 4816787913001 5607255129120 6230283476800 7009068911400 7476340172160 9345425215200 9633575826002 11214510258240 12460566953600 14018137822800 14450363739003 18690850430400 19267151652004 22429020516480 24083939565005 28036275645600 28900727478006 37381700860800 38534303304008 43351091217009 48167879130010 56072551291200 57801454956012 72251818695015 77068606608016 86702182434018 96335758260020 112145102582400 115602909912024 120419697825025 144503637390030 154137213216032 173404364868036 192671516520040 216755456085045 231205819824048 240839395650050 289007274780060 308274426432064 346808729736072 361259093475075 385343033040080 433510912170090 462411639648096 481678791300100 578014549560120 616548852864128 693617459472144 722518186950150 770686066080160 867021824340180 924823279296192 963357582600200 1083777280425225 1156029099120240 1387234918944288 1445036373900300 1541372132160320 1734043648680360 1849646558592384 1926715165200400 2167554560850450 2312058198240480 2774469837888576 2890072747800600 3082744264320640 3468087297360720 3853430330400800 4335109121700900 4624116396480960 5548939675777152 5780145495601200 6936174594721440 7706860660801600 8670218243401800 9248232792961920 11560290991202400 13872349189442880 15413721321603200 17340436486803600 23120581982404800 27744698378885760 34680872973607200 46241163964809600 69361745947214400 138723491894428800
• Sum of all divisors σ(n): 495397369432704180
• Sum of proper divisors (its aliquot sum) s(n): 356673877538275380
• 138723491894428800 is an abundant number, because the sum of its proper divisors (356673877538275380) is greater than itself. Its abundance is 217950385643846580

Bases of 138723491894428800

• Binary: 111101100110110000100011111101000010111101000010010000000₂
• Hexadecimal: 0x1ECD847E85E8480
• Base-36: 11XXDGE3IU80

Squares and roots of 138723491894428800

• 138723491894428800 squared (138723491894428800²) is 19244207203383652973884478269440000
• 138723491894428800 cubed (138723491894428800³) is 2669623621993300508743583325298280652201295872000000
• The square root of 138723491894428800 is 372456026.7930011627
• The cube root of 138723491894428800 is 517666.4319026951

Scales and comparisons

• 138,723,491,894,428,800 seconds is equal to 4,410,977,942 years, 16 weeks, 8 hours.
• To count from 1 to 138,723,491,894,428,800 would take you about thirteen billion, two hundred thirty-two million, nine hundred thirty-three thousand, eight hundred twenty-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 138723491894428800 cubic inches would be around 43138.9 feet tall.

Recreational maths with 138723491894428800

• 138723491894428800 backwards is 008824498194327831
• The number of decimal digits it has is: 18
• The sum of 138723491894428800's digits is 81
• More coming soon!