22131969088824000

Names of 22131969088824000

• Cardinal: 22131969088824000 can be written as Twenty-two quadrillion, one hundred thirty-one trillion, nine hundred sixty-nine billion, eighty-eight million, eight hundred twenty-four thousand.

Scientific notation

• Scientific notation: 2.2131969088824 × 10¹⁶

Factors of 22131969088824000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 227526827

Divisors of 22131969088824000

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 140 144 150 160 168 175 180 192 193 200 210 224 225 240 250 252 280 288 300 315 320 336 350 360 375 386 400 420 448 450 480 500 504 525 560 576 579 600 630 672 700 720 750 772 800 840 875 900 960 965 1000 1008 1050 1120 1125 1158 1200 1260 1344 1351 1400 1440 1500 1544 1575 1600 1680 1737 1750 1800 1930 2000 2016 2100 2240 2250 2316 2400 2520 2625 2702 2800 2880 2895 3000 3088 3150 3360 3474 3500 3600 3860 4000 4032 4053 4200 4500 4632 4800 4825 5040 5250 5404 5600 5790 6000 6176 6300 6720 6755 6948 7000 7200 7720 7875 8000 8106 8400 8685 9000 9264 9650 10080 10500 10808 11200 11580 12000 12159 12352 12600 13510 13896 14000 14400 14475 15440 15750 16212 16800 17370 18000 18528 19300 20160 20265 21000 21616 23160 24000 24125 24318 25200 27020 27792 28000 28950 30880 31500 32424 33600 33775 34740 36000 37056 38600 40530 42000 43232 43425 46320 48250 48636 50400 54040 55584 56000 57900 60795 61760 63000 64848 67550 69480 72000 72375 77200 81060 84000 86464 86850 92640 96500 97272 100800 101325 108080 111168 115800 121590 126000 129696 135100 138960 144750 154400 162120 168000 168875 173700 185280 193000 194544 202650 216160 217125 231600 243180 252000 259392 270200 277920 289500 303975 308800 324240 337750 347400 386000 389088 405300 432320 434250 463200 486360 504000 506625 540400 555840 579000 607950 648480 675500 694800 772000 778176 810600 868500 926400 972720 1013250 1080800 1158000 1215900 1296960 1351000 1389600 1519875 1544000 1621200 1737000 1945440 2026500 2161600 2316000 2431800 2702000 2779200 3039750 3242400 3474000 3890880 4053000 4632000 4863600 5404000 6079500 6484800 6948000 8106000 9727200 10808000 12159000 13896000 16212000 19454400 24318000 32424000 48636000 97272000 227526617 455053234 682579851 910106468 1137633085 1365159702 1592686319 1820212936 2047739553 2275266170 2730319404 3185372638 3412899255 3640425872 4095479106 4550532340 4778058957 5460638808 5688165425 6370745276 6825798510 7280851744 7963431595 8190958212 9101064680 9556117914 10238697765 10921277616 11376330850 12741490552 13651597020 14334176871 14561703488 15926863190 16381916424 17064496275 18202129360 19112235828 20477395530 21842555232 22752661700 23890294785 25482981104 27303194040 28440827125 28668353742 31853726380 32763832848 34128992550 36404258720 38224471656 39817157975 40954791060 43685110464 43912637081 45505323400 47780589570 50965962208 51193488825 54606388080 56881654250 57336707484 63707452760 65527665696 68257985100 71670884355 72808517440 76448943312 79634315950 81909582120 85322481375 87825274162 91010646800 95561179140 101931924416 102386977650 109212776160 113763308500 114673414968 119451473925 127414905520 131055331392 131737911243 136515970200 143341768710 152897886624 159268631900 163819164240 170644962750 175650548324 182021293600 191122358280 199085789875 204773955300 218425552320 219563185405 227526617000 229346829936 238902947850 254829811040 255967444125 263475822486 273031940400 286683537420 305795773248 307388459567 318537263800 327638328480 341289925500 351301096648 358354421775 364042587200 382244716560 395213733729 398171579750 409547910600 439126370810 455053234000 458693659872 477805895700 509659622080 511934888250 526951644972 546063880800 573367074840 597257369625 614776919134 637074527600 655276656960 658689556215 682579851000 702602193296 716708843550 764489433120 790427467458 796343159500 819095821200 878252741620 910106468000 917387319744 922165378701 955611791400 1023869776500 1053903289944 1092127761600 1097815927025 1146734149680 1194514739250 1229553838268 1274149055200 1317379112430 1365159702000 1405204386592 1433417687100 1528978866240 1536942297835 1580854934916 1592686319000 1638191642400 1756505483240 1791772108875 1820212936000 1844330757402 1911223582800 1976068668645 2047739553000 2107806579888 2195631854050 2293468299360 2389029478500 2459107676536 2548298110400 2634758224860 2730319404000 2766496136103 2810408773184 2866835374200 3073884595670 3161709869832 3185372638000 3276383284800 3293447781075 3513010966480 3583544217750 3688661514804 3822447165600 3952137337290 4095479106000 4215613159776 4391263708100 4586936598720 4610826893505 4778058957000 4918215353072 5269516449720 5460638808000 5489079635125 5532992272206 5733670748400 6147769191340 6323419739664 6370745276000 6586895562150 7026021932960 7167088435500 7377323029608 7644894331200 7684711489175 7904274674580 8190958212000 8431226319552 8782527416200 9221653787010 9556117914000 9836430706144 9880343343225 10539032899440 10978159270250 11065984544412 11467341496800 12295538382680 12646839479328 12741490552000 13173791124300 13832480680515 14052043865920 14334176871000 14754646059216 15369422978350 15808549349160 16381916424000 16467238905375 17565054832400 18443307574020 19112235828000 19672861412288 19760686686450 21078065798880 21956318540500 22131969088824 22934682993600 23054134467525 24591076765360 25293678958656 26347582248600 27664961361030 28668353742000 29509292118432 30738845956700 31617098698320 32934477810750 35130109664800 36886615148040 38224471656000 38423557445875 39521373372900 42156131597760 43912637081000 44263938177648 46108268935050 49182153530720 49401716716125 52695164497200 55329922722060 57336707484000 59018584236864 61477691913400 63234197396640 65868955621500 69162403402575 70260219329600 73773230296080 76847114891750 79042746745800 87825274162000 88527876355296 92216537870100 98364307061440 98803433432250 105390328994400 110659845444120 114673414968000 115270672337625 122955383826800 126468394793280 131737911243000 138324806805150 147546460592160 153694229783500 158085493491600 175650548324000 177055752710592 184433075740200 197606866864500 210780657988800 221319690888240 230541344675250 245910767653600 263475822486000 276649613610300 295092921184320 307388459567000 316170986983200 345812017012875 351301096648000 368866151480400 395213733729000 442639381776480 461082689350500 491821535307200 526951644972000 553299227220600 614776919134000 632341973966400 691624034025750 737732302960800 790427467458000 885278763552960 922165378701000 1053903289944000 1106598454441200 1229553838268000 1383248068051500 1475464605921600 1580854934916000 1844330757402000 2213196908882400 2459107676536000 2766496136103000 3161709869832000 3688661514804000 4426393817764800 5532992272206000 7377323029608000 11065984544412000 22131969088824000
• Sum of all divisors σ(n): 90948512410943616
• Sum of proper divisors (its aliquot sum) s(n): 68816543322119616
• 22131969088824000 is an abundant number, because the sum of its proper divisors (68816543322119616) is greater than itself. Its abundance is 46684574233295616

Bases of 22131969088824000

• Binary: 1001110101000001110100010011011101110000010001011000000₂
• Hexadecimal: 0x4EA0E89BB822C0
• Base-36: 61X4M8KZ740

Squares and roots of 22131969088824000

• 22131969088824000 squared (22131969088824000²) is 489824055748661036801702976000000
• 22131969088824000 cubed (22131969088824000³) is 10840770860791769785822217344914209140224000000000
• The square root of 22131969088824000 is 148768172.2977868677
• The cube root of 22131969088824000 is 280763.0931255403

Scales and comparisons

• 22,131,969,088,824,000 seconds is equal to 703,728,158 years, 18 weeks, 1 day, 4 hours.
• To count from 1 to 22,131,969,088,824,000 would take you about two billion, one hundred eleven million, one hundred eighty-four thousand, four hundred seventy-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 22131969088824000 cubic inches would be around 23396.9 feet tall.

Recreational maths with 22131969088824000

• 22131969088824000 backwards is 00042888096913122
• 22131969088824000 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 22131969088824000's digits is 63
• More coming soon!