264228868936472400

Names of 264228868936472400

• Cardinal: 264228868936472400 can be written as Two hundred sixty-four quadrillion, two hundred twenty-eight trillion, eight hundred sixty-eight billion, nine hundred thirty-six million, four hundred seventy-two thousand, four hundred.

Scientific notation

• Scientific notation: 2.642288689364724 × 10¹⁷

Factors of 264228868936472400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 440

Divisors of 264228868936472400

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 149 150 180 200 225 240 281 298 300 360 400 447 450 562 596 600 720 745 843 894 900 1124 1192 1200 1341 1405 1490 1686 1788 1800 2235 2248 2384 2529 2682 2810 2980 3372 3576 3600 3725 4215 4470 4496 5058 5364 5620 5960 6705 6744 7025 7152 7450 8430 8940 10116 10728 11175 11240 11920 12645 13410 13488 14050 14900 16860 17880 20232 21075 21456 22201 22350 22480 25290 26820 28100 29800 33525 33720 35760 40464 41869 42150 44402 44700 50580 53640 56200 59600 63225 66603 67050 67440 78961 83738 84300 88804 89400 101160 107280 111005 112400 125607 126450 133206 134100 157922 167476 168600 177608 178800 199809 202320 209345 222010 236883 251214 252900 266412 268200 315844 333015 334952 337200 355216 376821 394805 399618 418690 444020 473766 502428 505800 532824 536400 555025 628035 631688 666030 669904 710649 753642 789610 799236 837380 888040 947532 999045 1004856 1011600 1046725 1065648 1110050 1184415 1256070 1263376 1332060 1421298 1507284 1579220 1598472 1665075 1674760 1776080 1884105 1895064 1974025 1998090 2009712 2093450 2220100 2368830 2512140 2664120 2842596 3014568 3140175 3158440 3196944 3307949 3330150 3349520 3553245 3768210 3790128 3948050 3996180 4186900 4440200 4737660 4995225 5024280 5328240 5685192 5922075 6029136 6238481 6280350 6316880 6615898 6660300 7106490 7536420 7896100 7992360 8373800 8880400 9420525 9475320 9923847 9990450 10048560 11370384 11765189 11844150 12476962 12560700 13231796 13320600 14212980 15072840 15792200 15984720 16539745 16747600 17766225 18715443 18841050 18950640 19847694 19980900 22188041 23530378 23688300 24953924 25121400 26463592 26641200 28425960 29771541 30145680 31192405 31584400 33079490 35295567 35532450 37430886 37682100 39695388 39961800 44376082 47060756 47376600 49619235 49907848 50242800 52927184 56146329 56851920 58825945 59543082 62384810 66158980 66564123 70591134 71064900 74861772 75364200 79390776 79923600 82698725 88752164 93577215 94121512 94753200 99238470 99815696 105886701 110940205 112292658 117651890 119086164 124769620 132317960 133128246 141182268 142129800 148857705 149723544 150728400 155962025 158781552 165397450 176477835 177504328 187154430 188243024 198476940 199692369 211773402 221880410 224585316 235303780 238172328 248096175 249539240 264635920 266256492 280731645 282364536 284259600 294129725 297715410 299447088 311924050 330794900 332820615 352955670 355008656 374308860 396953880 399384738 423546804 443760820 449170632 467886075 470607560 476344656 496192350 499078480 529433505 532512984 554701025 561463290 564729072 588259450 595430820 623848100 661589800 665641230 705911340 744288525 748617720 793907760 798769476 847093608 882389175 887521640 898341264 929533669 935772150 941215120 992384700 998461845 1058867010 1065025968 1109402050 1122926580 1176518900 1190861640 1247696200 1323179600 1331282460 1403658225 1411822680 1488577050 1497235440 1597538952 1664103075 1694187216 1753013161 1764778350 1775043280 1859067338 1871544300 1984769400 1996923690 2117734020 2218804100 2245853160 2353037800 2381723280 2495392400 2647167525 2662564920 2788601007 2807316450 2823645360 2977154100 3195077904 3306018109 3328206150 3506026322 3529556700 3718134676 3743088600 3969538800 3993847380 4235468040 4437608200 4491706320 4647668345 4706075600 4992309225 5259039483 5294335050 5325129840 5577202014 5614632900 5954308200 6612036218 6656412300 7012052644 7059113400 7436269352 7486177200 7987694760 8365803021 8470936080 8765065805 8875216400 9295336690 9918054327 9984618450 10518078966 10588670100 11154404028 11229265800 11908616400 13224072436 13312824600 13943005035 14024105288 14118226800 14872538704 15777118449 15975389520 16530090545 16731606042 17530131610 18590673380 19836108654 19969236900 21036157932 21177340200 22308808056 22458531600 23238341725 26295197415 26448144872 26625649200 27886010070 28048210576 29754162981 31554236898 33060181090 33463212084 35060263220 37181346760 39672217308 39938473800 41829015105 42072315864 42354680400 43825329025 44617616112 46476683450 49590271635 52590394830 52896289744 55772020140 59508325962 63108473796 66120362180 66926424168 69715025175 70120526440 74362693520 78885592245 79344434616 79876947600 82650452725 83658030210 84144631728 87650658050 92953366900 99180543270 105180789660 111544040280 119016651924 126216947592 131475987075 132240724360 133852848336 139430050350 140241052880 148770814905 157771184490 158688869232 165300905450 167316060420 175301316100 185906733800 198361086540 209145075525 210361579320 223088080560 238033303848 247951358175 252433895184 261198960989 262951974150 264481448720 278860100700 297541629810 315542368980 330601810900 334632120840 350602632200 371813467600 394427961225 396722173080 418290151050 420723158640 476066607696 492596698241 495902716350 522397921978 525903948300 557720201400 595083259620 631084737960 661203621800 669264241680 701205264400 743854074525 783596882967 788855922450 793444346160 836580302100 985193396482 991805432700 1044795843956 1051807896600 1115440402800 1190166519240 1262169475920 1305994804945 1322407243600 1477790094723 1487708149050 1567193765934 1577711844900 1673160604200 1970386792964 1983610865400 2089591687912 2103615793200 2350790648901 2380333038480 2462983491205 2611989609890 2955580189446 2975416298100 3134387531868 3155423689800 3346321208400 3917984414835 3940773585928 3967221730800 4179183375824 4433370284169 4701581297802 4925966982410 5223979219780 5911160378892 5950832596200 6268775063736 6310847379600 6529974024725 7388950473615 7835968829670 7881547171856 8866740568338 9403162595604 9851933964820 10447958439560 11753953244505 11822320757784 11901665192400 12314917456025 12537550127472 13059948049450 14777900947230 15671937659340 17733481136676 18806325191208 19589922074175 19703867929640 20895916879120 22166851420845 23507906489010 23644641515568 24629834912050 26119896098900 29555801894460 31343875318680 35466962273352 36944752368075 37612650382416 39179844148350 39407735859280 44333702841690 47015812978020 49259669824100 52239792197800 58769766222525 59111603788920 62687750637360 70933924546704 73396908037909 73889504736150 78359688296700 88667405683380 94031625956040 98519339648200 104479584395600 110834257104225 117539532445050 118223207577840 146793816075818 147779009472300 156719376593400 177334811366760 188063251912080 197038679296400 220190724113727 221668514208450 235079064890100 293587632151636 295558018944600 313438753186800 354669622733520 366984540189545 440381448227454 443337028416900 470158129780200 587175264303272 591116037889200 660572172341181 733969080379090 880762896454908 886674056833800 940316259560400 1100953620568635 1174350528606544 1321144344682362 1467938160758180 1761525792909816 1773348113667600 1834922700947725 2201907241137270 2642288689364724 2935876321516360 3302860861705905 3523051585819632 3669845401895450 4403814482274540 5284577378729448 5504768102843175 5871752643032720 6605721723411810 7339690803790900 8807628964549080 10569154757458896 11009536205686350 13211443446823620 14679381607581800 16514304308529525 17615257929098160 22019072411372700 26422886893647240 29358763215163600 33028608617059050 44038144822745400 52845773787294480 66057217234118100 88076289645490800 132114434468236200 264228868936472400
• Sum of all divisors σ(n): 926440101663663600
• Sum of proper divisors (its aliquot sum) s(n): 662211232727191200
• 264228868936472400 is an abundant number, because the sum of its proper divisors (662211232727191200) is greater than itself. Its abundance is 397982363790718800

Bases of 264228868936472400

• Binary: 1110101010101110101100000110100000010111001001011101010000₂
• Hexadecimal: 0x3AABAC1A05C9750
• Base-36: 209PBENDJQS0

Squares and roots of 264228868936472400

• 264228868936472400 squared (264228868936472400²) is 69816895179447509207466955961760000
• 264228868936472400 cubed (264228868936472400³) is 18447639245921667612554210542720374257883695424000000
• The square root of 264228868936472400 is 514031972.6792025143
• The cube root of 264228868936472400 is 641692.1924977135

Scales and comparisons

• 264,228,868,936,472,400 seconds is equal to 8,401,660,718 years, 32 weeks, 3 days, 13 hours.
• To count from 1 to 264,228,868,936,472,400 would take you about twenty-five billion, two hundred four million, nine hundred eighty-two thousand, one 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 264228868936472400 cubic inches would be around 53474.3 feet tall.

Recreational maths with 264228868936472400

• 264228868936472400 backwards is 004274639868822462
• The number of decimal digits it has is: 18
• The sum of 264228868936472400's digits is 81
• More coming soon!