138188220700727808

Names of 138188220700727808

• Cardinal: 138188220700727808 can be written as One hundred thirty-eight quadrillion, one hundred eighty-eight trillion, two hundred twenty billion, seven hundred million, seven hundred twenty-seven thousand, eight hundred eight.

Scientific notation

• Scientific notation: 1.38188220700727808 × 10¹⁷

Factors of 138188220700727808

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 11144096352

Divisors of 138188220700727808

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 16 18 23 24 26 27 32 36 39 46 48 52 54 64 69 72 78 81 92 96 104 108 117 128 138 144 156 162 184 192 207 208 216 234 256 276 288 299 312 324 351 368 384 414 416 432 468 512 552 576 598 621 624 648 702 736 768 828 832 864 897 936 1053 1104 1152 1196 1242 1248 1296 1404 1472 1536 1656 1664 1728 1794 1863 1872 2106 2208 2304 2392 2484 2496 2592 2691 2808 2944 3312 3328 3456 3588 3726 3744 4212 4416 4608 4784 4968 4992 5184 5382 5616 5888 6624 6656 6912 7176 7452 7488 8073 8424 8832 9568 9936 9984 10368 10764 11232 11776 13248 13824 14352 14904 14976 16146 16848 17664 19136 19872 19968 20736 21528 22464 24219 26496 28704 29808 29952 32292 33696 35328 38272 39744 41472 43056 44928 48438 52992 57408 59616 59904 64584 67392 76544 79488 86112 89856 96876 105984 114816 119232 129168 134784 153088 158976 172224 179712 193752 229632 238464 258336 269568 317952 344448 387504 459264 476928 516672 539136 688896 775008 953856 1033344 1377792 1550016 2066688 3100032 4133376 6200064 12400128 11144096311 22288192622 33432288933 44576385244 66864577866 89152770488 100296866799 133729155732 144873252043 178305540976 200593733598 256314215153 267458311464 289746504086 300890600397 356611081952 401187467196 434619756129 512628430306 534916622928 579493008172 601781200794 713222163904 768942645459 802374934392 869239512258 902671801191 1025256860612 1069833245856 1158986016344 1203562401588 1303859268387 1426444327808 1537885290918 1604749868784 1738479024516 1805343602382 2050513721224 2139666491712 2306827936377 2317972032688 2407124803176 2607718536774 2852888655616 3075770581836 3209499737568 3332084796989 3476958049032 3610687204764 3911577805161 4101027442448 4279332983424 4613655872754 4635944065376 4814249606352 5215437073548 5705777311232 6151541163672 6418999475136 6664169593978 6920483809131 6953916098064 7221374409528 7823155610322 8202054884896 8558665966848 9227311745508 9271888130752 9628499212704 9996254390967 10430874147096 11734733415483 12303082327344 12837998950272 13328339187956 13840967618262 13907832196128 14442748819056 15646311220644 16404109769792 17117331933696 18454623491016 18543776261504 19256998425408 19992508781934 20761451427393 20861748294192 23469466830966 24606164654688 25675997900544 26656678375912 27681935236524 27815664392256 28885497638112 29988763172901 31292622441288 32808219539584 36909246982032 37087552523008 38513996850816 39985017563868 41522902854786 41723496588384 46938933661932 49212329309376 51351995801088 53313356751824 55363870473048 55631328784512 57770995276224 59977526345802 62585244882576 65616439079168 73818493964064 74175105046016 77027993701632 79970035127736 83045805709572 83446993176768 89966289518703 93877867323864 98424658618752 106626713503648 110727740946096 111262657569024 115541990552448 119955052691604 125170489765152 131232878158336 147636987928128 154055987403264 159940070255472 166091611419144 166893986353536 179932579037406 187755734647728 196849317237504 213253427007296 221455481892192 222525315138048 231083981104896 239910105383208 250340979530304 269898868556109 295273975856256 319880140510944 332183222838288 333787972707072 359865158074812 375511469295456 393698634475008 426506854014592 442910963784384 462167962209792 479820210766416 500681959060608 539797737112218 590547951712512 639760281021888 664366445676576 667575945414144 719730316149624 751022938590912 853013708029184 885821927568768 959640421532832 1001363918121216 1079595474224436 1181095903425024 1279520562043776 1328732891353152 1439460632299248 1502045877181824 1706027416058368 1771643855137536 1919280843065664 2002727836242432 2159190948448872 2559041124087552 2657465782706304 2878921264598496 3004091754363648 3543287710275072 3838561686131328 4318381896897744 5118082248175104 5314931565412608 5757842529196992 6008183508727296 7677123372262656 8636763793795488 10629863130825216 11515685058393984 15354246744525312 17273527587590976 23031370116787968 34547055175181952 46062740233575936 69094110350363904 138188220700727808
• Sum of all divisors σ(n): 463495090392867456
• Sum of proper divisors (its aliquot sum) s(n): 325306869692139648
• 138188220700727808 is an abundant number, because the sum of its proper divisors (325306869692139648) is greater than itself. Its abundance is 187118648991411840

Bases of 138188220700727808

• Binary: 111101010111100010111010001011111000000101001101000000000₂
• Hexadecimal: 0x1EAF1745F029A00
• Base-36: 11SNMW773400

Squares and roots of 138188220700727808

• 138188220700727808 squared (138188220700727808²) is 19095984340433057475062980904484864
• 138188220700727808 cubed (138188220700727808³) is 2638840098533405490110629854323650644247616119898112
• The square root of 138188220700727808 is 371736762.6435779461
• The cube root of 138188220700727808 is 516999.7601854655

Scales and comparisons

• 138,188,220,700,727,808 seconds is equal to 4,393,957,974 years, 2 weeks, 4 days, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 138,188,220,700,727,808 would take you about thirteen billion, one hundred eighty-one million, eight hundred seventy-three thousand, nine hundred twenty-two 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 138188220700727808 cubic inches would be around 43083.3 feet tall.

Recreational maths with 138188220700727808

• 138188220700727808 backwards is 808727007022881831
• 138188220700727808 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 138188220700727808's digits is 72
• More coming soon!