12135822873329664

Names of 12135822873329664

• Cardinal: 12135822873329664 can be written as Twelve quadrillion, one hundred thirty-five trillion, eight hundred twenty-two billion, eight hundred seventy-three million, three hundred twenty-nine thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 1.2135822873329664 × 10¹⁶

Factors of 12135822873329664

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 24
• Sum of prime factors: 460859

Divisors of 12135822873329664

• Number of divisors d(n): 456
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 512 549 576 732 768 864 976 1024 1098 1152 1464 1536 1647 1728 1952 2048 2196 2304 2928 3072 3294 3456 3721 3904 4096 4392 4608 5856 6144 6588 6912 7442 7808 8192 8784 9216 11163 11712 12288 13176 13824 14884 15616 16384 17568 18432 22326 23424 24576 26352 27648 29768 31232 32768 33489 35136 36864 44652 46848 49152 52704 55296 59536 62464 65536 66978 70272 73728 89304 93696 98304 100467 105408 110592 119072 124928 131072 133956 140544 147456 178608 187392 196608 200934 210816 221184 238144 249856 262144 267912 281088 294912 357216 374784 393216 401868 421632 442368 460793 476288 499712 535824 562176 589824 714432 749568 786432 803736 843264 884736 921586 952576 999424 1071648 1124352 1179648 1382379 1428864 1499136 1607472 1686528 1769472 1843172 1905152 1998848 2143296 2248704 2359296 2764758 2857728 2998272 3214944 3373056 3538944 3686344 3810304 3997696 4147137 4286592 4497408 5529516 5715456 5996544 6429888 6746112 7077888 7372688 7620608 7995392 8294274 8573184 8994816 11059032 11430912 11993088 12441411 12859776 13492224 14745376 15241216 15990784 16588548 17146368 17989632 22118064 22861824 23986176 24882822 25719552 26984448 28108373 29490752 30482432 33177096 34292736 35979264 44236128 45723648 47972352 49765644 51439104 53968896 56216746 58981504 60964864 66354192 68585472 71958528 84325119 88472256 91447296 99531288 102878208 107937792 112433492 117963008 121929728 132708384 137170944 143917056 168650238 176944512 182894592 199062576 205756416 215875584 224866984 235926016 243859456 252975357 265416768 274341888 337300476 353889024 365789184 398125152 411512832 431751168 449733968 471852032 487718912 505950714 530833536 548683776 674600952 707778048 731578368 758926071 796250304 823025664 899467936 943704064 975437824 1011901428 1061667072 1097367552 1349201904 1415556096 1463156736 1517852142 1592500608 1646051328 1714610753 1798935872 1887408128 2023802856 2123334144 2194735104 2698403808 2831112192 2926313472 3035704284 3185001216 3292102656 3429221506 3597871744 3774816256 4047605712 4246668288 4389470208 5143832259 5396807616 5662224384 6071408568 6370002432 6584205312 6858443012 7195743488 7549632512 8095211424 8493336576 8778940416 10287664518 10793615232 11324448768 12142817136 12740004864 13168410624 13716886024 14391486976 15099265024 15431496777 16190422848 16986673152 20575329036 21587230464 22648897536 24285634272 25480009728 26336821248 27433772048 28782973952 30198530048 30862993554 32380845696 33973346304 41150658072 43174460928 45297795072 46294490331 48571268544 50960019456 54867544096 57565947904 60397060096 61725987108 64761691392 67946692608 82301316144 86348921856 90595590144 92588980662 97142537088 101920038912 109735088192 115131895808 120794120192 123451974216 129523382784 135893385216 164602632288 172697843712 181191180288 185177961324 194285074176 203840077824 219470176384 230263791616 246903948432 259046765568 271786770432 329205264576 345395687424 362382360576 370355922648 388570148352 407680155648 438940352768 460527583232 493807896864 518093531136 543573540864 658410529152 690791374848 740711845296 777140296704 815360311296 877880705536 921055166464 987615793728 1036187062272 1087147081728 1316821058304 1381582749696 1481423690592 1554280593408 1630720622592 1755761411072 1842110332928 1975231587456 2072374124544 2633642116608 2763165499392 2962847381184 3108561186816 3261441245184 3511522822144 3684220665856 3950463174912 4144748249088 5267284233216 5526330998784 5925694762368 6217122373632 7023045644288 7368441331712 7900926349824 8289496498176 10534568466432 11052661997568 11851389524736 12434244747264 14046091288576 15801852699648 16578992996352 21069136932864 22105323995136 23702779049472 24868489494528 28092182577152 31603705399296 33157985992704 42138273865728 47405558098944 49736978989056 56184365154304 63207410798592 66315971985408 84276547731456 94811116197888 99473957978112 112368730308608 126414821597184 168553095462912 189622232395776 198947915956224 224737460617216 252829643194368 337106190925824 379244464791552 449474921234432 505659286388736 674212381851648 758488929583104 1011318572777472 1348424763703296 1516977859166208 2022637145554944 3033955718332416 4045274291109888 6067911436664832 12135822873329664
• Sum of all divisors σ(n): 36557142142818960
• Sum of proper divisors (its aliquot sum) s(n): 24421319269489296
• 12135822873329664 is an abundant number, because the sum of its proper divisors (24421319269489296) is greater than itself. Its abundance is 12285496396159632

Bases of 12135822873329664

• Binary: 101011000111010111011101110011011011000000000000000000₂
• Hexadecimal: 0x2B1D77736C0000
• Base-36: 3BHSG294AO0

Squares and roots of 12135822873329664

• 12135822873329664 squared (12135822873329664²) is 147278196812831461952318022352896
• 12135822873329664 cubed (12135822873329664³) is 1787342109623908075329075562113449523111153106944
• The square root of 12135822873329664 is 110162710.9022361705
• The cube root of 12135822873329664 is 229803.3787371489

Scales and comparisons

• 12,135,822,873,329,664 seconds is equal to 385,881,628 years, 41 weeks, 6 days, 18 hours, 14 minutes, 24 seconds.
• To count from 1 to 12,135,822,873,329,664 would take you about one billion, one hundred fifty-seven million, six hundred forty-four thousand, eight hundred eighty-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 12135822873329664 cubic inches would be around 19150.3 feet tall.

Recreational maths with 12135822873329664

• 12135822873329664 backwards is 46692337822853121
• 12135822873329664 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12135822873329664's digits is 72
• More coming soon!