34040198893432320

Names of 34040198893432320

• Cardinal: 34040198893432320 can be written as Thirty-four quadrillion, forty trillion, one hundred ninety-eight billion, eight hundred ninety-three million, four hundred thirty-two thousand, three hundred twenty.

Scientific notation

• Scientific notation: 3.404019889343232 × 10¹⁶

Factors of 34040198893432320

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 233933

Divisors of 34040198893432320

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 243 256 270 288 320 324 360 384 405 432 480 486 512 540 576 640 648 720 768 810 864 960 972 1080 1152 1215 1280 1296 1440 1536 1620 1728 1920 1944 2160 2304 2430 2560 2592 2880 3240 3456 3840 3888 4320 4608 4860 5184 5760 6480 6912 7680 7776 8640 9720 10368 11520 12960 13824 15552 17280 19440 20736 23040 25920 31104 34560 38880 41472 51840 62208 69120 77760 103680 124416 155520 207360 233923 311040 467846 622080 701769 935692 1169615 1403538 1871384 2105307 2339230 2807076 3508845 3742768 4210614 4678460 5614152 6315921 7017690 7485536 8421228 9356920 10526535 11228304 12631842 14035380 14971072 16842456 18713840 18947763 21053070 22456608 25263684 28070760 29942144 31579605 33684912 37427680 37895526 42106140 44913216 50527368 56141520 56843289 59884288 63159210 67369824 74855360 75791052 84212280 89826432 94738815 101054736 112283040 113686578 119768576 126318420 134739648 149710720 151582104 168424560 179652864 189477630 202109472 224566080 227373156 252636840 269479296 284216445 299421440 303164208 336849120 359305728 378955260 404218944 449132160 454746312 505273680 538958592 568432890 598842880 606328416 673698240 757910520 808437888 898264320 909492624 1010547360 1077917184 1136865780 1212656832 1347396480 1515821040 1616875776 1796528640 1818985248 2021094720 2273731560 2425313664 2694792960 3031642080 3233751552 3637970496 4042189440 4547463120 4850627328 5389585920 6063284160 7275940992 8084378880 9094926240 9701254656 12126568320 14551881984 16168757760 18189852480 24253136640 29103763968 36379704960 48506273280 54719969929 72759409920 109439939858 145518819840 164159909787 218879879716 273599849645 328319819574 437759759432 492479729361 547199699290 656639639148 820799548935 875519518864 984959458722 1094399398580 1313279278296 1477439188083 1641599097870 1751039037728 1969918917444 2188798797160 2462398646805 2626558556592 2954878376166 3283198195740 3502078075456 3939837834888 4377597594320 4432317564249 4924797293610 5253117113184 5909756752332 6566396391480 7004156150912 7387195940415 7879675669776 8755195188640 8864635128498 9849594587220 10506234226368 11819513504664 13132792782960 13296952692747 14008312301824 14774391880830 15759351339552 17510390377280 17729270256996 19699189174440 21012468452736 22161587821245 23639027009328 26265585565920 26593905385494 28016624603648 29548783761660 31518702679104 35020780754560 35458540513992 39398378348880 42024936905472 44323175642490 47278054018656 52531171131840 53187810770988 59097567523320 63037405358208 66484763463735 70041561509120 70917081027984 78796756697760 84049873810944 88646351284980 94556108037312 105062342263680 106375621541976 118195135046640 126074810716416 132969526927470 140083123018240 141834162055968 157593513395520 177292702569960 189112216074624 210124684527360 212751243083952 236390270093280 252149621432832 265939053854940 283668324111936 315187026791040 354585405139920 378224432149248 420249369054720 425502486167904 472780540186560 531878107709880 567336648223872 630374053582080 709170810279840 756448864298496 851004972335808 945561080373120 1063756215419760 1134673296447744 1260748107164160 1418341620559680 1702009944671616 1891122160746240 2127512430839520 2269346592895488 2836683241119360 3404019889343232 3782244321492480 4255024861679040 5673366482238720 6808039778686464 8510049723358080 11346732964477440 17020099446716160 34040198893432320
• Sum of all divisors σ(n): 122257630494895896
• Sum of proper divisors (its aliquot sum) s(n): 88217431601463576
• 34040198893432320 is an abundant number, because the sum of its proper divisors (88217431601463576) is greater than itself. Its abundance is 54177232708031256

Bases of 34040198893432320

• Binary: 1111000111011110110000101101011001000000110111000000000₂
• Hexadecimal: 0x78EF616B206E00
• Base-36: 9B68RHL9C00

Squares and roots of 34040198893432320

• 34040198893432320 squared (34040198893432320²) is 1158735140704430943020030420582400
• 34040198893432320 cubed (34040198893432320³) is 39443574654388113802814725184821756446709383168000
• The square root of 34040198893432320 is 184499861.4997646007
• The cube root of 34040198893432320 is 324088.8051465599

Scales and comparisons

• 34,040,198,893,432,320 seconds is equal to 1,082,373,031 years, 29 weeks, 1 day, 19 hours, 12 minutes.
• To count from 1 to 34,040,198,893,432,320 would take you about three billion, two hundred forty-seven million, one hundred nineteen thousand and ninety-four 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 34040198893432320 cubic inches would be around 27007.4 feet tall.

Recreational maths with 34040198893432320

• 34040198893432320 backwards is 02323439889104043
• The number of decimal digits it has is: 17
• The sum of 34040198893432320's digits is 63
• More coming soon!