128221977468960

Names of 128221977468960

• Cardinal: 128221977468960 can be written as One hundred twenty-eight trillion, two hundred twenty-one billion, nine hundred seventy-seven million, four hundred sixty-eight thousand, nine hundred sixty.

Scientific notation

• Scientific notation: 1.2822197746896 × 10¹⁴

Factors of 128221977468960

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 21554866

Divisors of 128221977468960

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 80 81 85 90 96 102 108 120 135 136 144 153 160 162 170 180 204 216 240 243 255 270 272 288 306 324 340 360 405 408 432 459 480 486 510 540 544 612 648 680 720 729 765 810 816 864 918 972 1020 1080 1215 1224 1296 1360 1377 1440 1458 1530 1620 1632 1836 1944 2040 2160 2187 2295 2430 2448 2592 2720 2754 2916 3060 3240 3645 3672 3888 4080 4131 4320 4374 4590 4860 4896 5508 5832 6120 6480 6885 7290 7344 7776 8160 8262 8748 9180 9720 10935 11016 11664 12240 12393 12960 13770 14580 14688 16524 17496 18360 19440 20655 21870 22032 23328 24480 24786 27540 29160 33048 34992 36720 37179 38880 41310 43740 44064 49572 55080 58320 61965 66096 69984 73440 74358 82620 87480 99144 110160 116640 123930 132192 148716 165240 174960 185895 198288 220320 247860 297432 330480 349920 371790 396576 495720 594864 660960 743580 991440 1189728 1487160 1982880 2974320 5948640 21554839 43109678 64664517 86219356 107774195 129329034 172438712 193993551 215548390 258658068 323322585 344877424 366432263 387987102 431096780 517316136 581980653 646645170 689754848 732864526 775974204 862193560 969967755 1034632272 1099296789 1163961306 1293290340 1465729052 1551948408 1724387120 1745941959 1832161315 1939935510 2069264544 2198593578 2327922612 2586580680 2909903265 2931458104 3103896816 3297890367 3448774240 3491883918 3664322630 3879871020 4397187156 4655845224 5173161360 5237825877 5496483945 5819806530 5862916208 6207793632 6595780734 6983767836 7328645260 7759742040 8729709795 8794374312 9311690448 9893671101 10346322720 10475651754 10992967890 11639613060 11725832416 13191561468 13967535672 14657290520 15519484080 15713477631 16489451835 17459419590 17588748624 18623380896 19787342202 20951303508 21985935780 23279226120 26189129385 26383122936 27935071344 29314581040 29681013303 31038968160 31426955262 32978903670 34918839180 35177497248 39574684404 41902607016 43971871560 46558452240 47140432893 49468355505 52378258770 52766245872 55870142688 58629162080 59362026606 62853910524 65957807340 69837678360 78567388155 79149368808 83805214032 87943743120 89043039909 93116904480 94280865786 98936711010 104756517540 105532491744 118724053212 125707821048 131915614680 139675356720 148405066515 157134776310 158298737616 167610428064 175887486240 178086079818 188561731572 197873422020 209513035080 235702164465 237448106424 251415642096 263831229360 267129119727 279350713440 296810133030 314269552620 316597475232 356172159636 377123463144 395746844040 419026070160 445215199545 471404328930 474896212848 502831284192 527662458720 534258239454 593620266060 628539105240 712344319272 754246926288 791493688080 801387359181 838052140320 890430399090 942808657860 949792425696 1068516478908 1187240532120 1257078210480 1335645598635 1424688638544 1508493852576 1582987376160 1602774718362 1780860798180 1885617315720 2137032957816 2374481064240 2514156420960 2671291197270 2849377277088 3205549436724 3561721596360 3771234631440 4006936795905 4274065915632 4748962128480 5342582394540 6411098873448 7123443192720 7542469262880 8013873591810 8548131831264 10685164789080 12822197746896 14246886385440 16027747183620 21370329578160 25644395493792 32055494367240 42740659156320 64110988734480 128221977468960
• Sum of all divisors σ(n): 481041950860800
• Sum of proper divisors (its aliquot sum) s(n): 352819973391840
• 128221977468960 is an abundant number, because the sum of its proper divisors (352819973391840) is greater than itself. Its abundance is 224597995922880

Bases of 128221977468960

• Binary: 11101001001111000000001011010110110000000100000₂
• Hexadecimal: 0x749E016B6020
• Base-36: 19G8D2SI00

Squares and roots of 128221977468960

• 128221977468960 squared (128221977468960²) is 16440875506050485887763481600
• 128221977468960 cubed (128221977468960³) is 2108081568706781739657069581080685531136000
• The square root of 128221977468960 is 11323514.3603459081
• The cube root of 128221977468960 is 50425.9578886235

Scales and comparisons

• 128,221,977,468,960 seconds is equal to 4,077,062 years, 13 weeks, 6 days, 3 hours, 36 minutes.
• To count from 1 to 128,221,977,468,960 would take you about ten million, one hundred ninety-two thousand, six hundred fifty-five 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 128221977468960 cubic inches would be around 4202.2 feet tall.

Recreational maths with 128221977468960

• 128221977468960 backwards is 069864779122821
• 128221977468960 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 128221977468960's digits is 72
• More coming soon!