138222016637147136

Names of 138222016637147136

• Cardinal: 138222016637147136 can be written as One hundred thirty-eight quadrillion, two hundred twenty-two trillion, sixteen billion, six hundred thirty-seven million, one hundred forty-seven thousand, one hundred thirty-six.

Scientific notation

• Scientific notation: 1.38222016637147136 × 10¹⁷

Factors of 138222016637147136

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 464828

Divisors of 138222016637147136

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 256 288 381 384 432 508 512 576 762 768 864 1016 1024 1143 1152 1524 1536 1728 2032 2048 2286 2304 3048 3072 3429 3456 4064 4572 4608 6096 6144 6858 6912 8128 9144 9216 12192 13716 13824 16256 18288 18432 24384 27432 27648 32512 36576 47137 48768 54864 55296 65024 73152 94274 97536 109728 130048 141411 146304 188548 195072 219456 260096 282822 292608 377096 390144 417559 424233 438912 565644 585216 754192 780288 835118 848466 877824 1131288 1170432 1252677 1272699 1508384 1670236 1696932 1755648 2262576 2340864 2505354 2545398 3016768 3340472 3393864 3511296 3758031 4525152 5010708 5090796 5986399 6033536 6680944 6787728 7022592 7516062 9050304 10021416 10181592 11274093 11972798 12067072 13361888 13575456 15032124 17959197 18100608 20042832 20363184 22548186 23945596 24134144 26723776 27150912 30064248 35918394 36201216 40085664 40726368 45096372 47891192 48268288 53029993 53447552 53877591 54301824 60128496 71836788 72402432 80171328 81452736 90192744 95782384 96536576 106059986 106895104 107755182 108603648 120256992 143673576 144804864 159089979 160342656 161632773 162905472 180385488 191564768 212119972 213790208 215510364 217207296 240513984 287347152 289609728 318179958 320685312 323265546 325810944 360770976 383129536 424239944 427580416 431020728 434414592 477269937 481027968 574694304 636359916 641370624 646531092 651621888 721541952 766259072 848479888 855160832 862041456 868829184 954539874 962055936 1149388608 1272719832 1282741248 1293062184 1303243776 1431809811 1443083904 1532518144 1696959776 1724082912 1909079748 1924111872 2298777216 2545439664 2565482496 2586124368 2606487552 2863619622 2886167808 3065036288 3393919552 3448165824 3818159496 3848223744 4597554432 5090879328 5172248736 5727239244 5772335616 6130072576 6787839104 6896331648 7636318992 7696447488 9195108864 10181758656 10344497472 11454478488 11544671232 12260145152 13575678208 13792663296 15272637984 18390217728 19682478583 20363517312 20688994944 22908956976 23089342464 27151356416 27585326592 30545275968 36780435456 39364957166 40727034624 41377989888 45817913952 54302712832 55170653184 59047435749 61090551936 78729914332 81454069248 82755979776 91635827904 108605425664 110341306368 118094871498 122181103872 157459828664 162908138496 165511959552 177142307247 183271655808 236189742996 244362207744 314919657328 325816276992 331023919104 354284614494 366543311616 472379485992 488724415488 531426921741 629839314656 708569228988 733086623232 944758971984 977448830976 1062853843482 1259678629312 1417138457976 1466173246464 1889517943968 2125707686964 2499674780041 2519357258624 2834276915952 2932346492928 3779035887936 4251415373928 4999349560082 5038714517248 5668553831904 7499024340123 7558071775872 8502830747856 9998699120164 10077429034496 11337107663808 14998048680246 15116143551744 17005661495712 19997398240328 20154858068992 22497073020369 22674215327616 29996097360492 30232287103488 34011322991424 39994796480656 40309716137984 44994146040738 45348430655232 59992194720984 60464574206976 67491219061107 68022645982848 79989592961312 89988292081476 90696861310464 119984389441968 120929148413952 134982438122214 136045291965696 159979185922624 179976584162952 181393722620928 239968778883936 269964876244428 272090583931392 319958371845248 359953168325904 362787445241856 479937557767872 539929752488856 544181167862784 639916743690496 719906336651808 959875115535744 1079859504977712 1088362335725568 1279833487380992 1439812673303616 1919750231071488 2159719009955424 2559666974761984 2879625346607232 3839500462142976 4319438019910848 5119333949523968 5759250693214464 7679000924285952 8638876039821696 11518501386428928 15358001848571904 17277752079643392 23037002772857856 34555504159286784 46074005545715712 69111008318573568 138222016637147136
• Sum of all divisors σ(n): 412680461985792000
• Sum of proper divisors (its aliquot sum) s(n): 274458445348644864
• 138222016637147136 is an abundant number, because the sum of its proper divisors (274458445348644864) is greater than itself. Its abundance is 136236428711497728

Bases of 138222016637147136

• Binary: 111101011000100000011000100011001110010111001100000000000₂
• Hexadecimal: 0x1EB103119CB9800
• Base-36: 11SZM5U71MO0

Squares and roots of 138222016637147136

• 138222016637147136 squared (138222016637147136²) is 19105325883239779659048824913002496
• 138222016637147136 cubed (138222016637147136³) is 2640776672091286624722417232940244887636925487251456
• The square root of 138222016637147136 is 371782216.6768431329
• The cube root of 138222016637147136 is 517041.9033501653

Scales and comparisons

• 138,222,016,637,147,136 seconds is equal to 4,395,032,580 years, 15 weeks, 1 day, 5 hours, 45 minutes, 36 seconds.
• To count from 1 to 138,222,016,637,147,136 would take you about thirteen billion, one hundred eighty-five million, ninety-seven thousand, seven hundred forty 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 138222016637147136 cubic inches would be around 43086.8 feet tall.

Recreational maths with 138222016637147136

• 138222016637147136 backwards is 631741736610222831
• The number of decimal digits it has is: 18
• The sum of 138222016637147136's digits is 63
• More coming soon!