840214134144

Names of 840214134144

• Cardinal: 840214134144 can be written as Eight hundred forty billion, two hundred fourteen million, one hundred thirty-four thousand, one hundred forty-four.

Scientific notation

• Scientific notation: 8.40214134144 × 10¹¹

Factors of 840214134144

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 77

Divisors of 840214134144

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 28 32 33 34 36 37 42 44 48 51 56 63 64 66 68 72 74 77 84 88 96 99 102 111 112 119 121 126 128 132 136 144 148 153 154 168 176 187 192 198 204 222 224 231 238 242 252 259 264 272 288 296 306 308 333 336 352 357 363 374 384 396 407 408 444 448 462 476 484 504 518 528 544 561 576 592 612 616 629 666 672 693 704 714 726 748 777 792 814 816 847 888 896 924 952 968 1008 1036 1056 1071 1088 1089 1122 1152 1184 1221 1224 1232 1258 1309 1332 1344 1369 1386 1408 1428 1452 1496 1554 1584 1628 1632 1683 1694 1776 1848 1887 1904 1936 2016 2057 2072 2112 2142 2176 2178 2244 2331 2368 2442 2448 2464 2516 2541 2618 2664 2688 2738 2772 2849 2856 2904 2992 3108 3168 3256 3264 3366 3388 3552 3663 3696 3774 3808 3872 3927 4032 4107 4114 4144 4224 4284 4356 4403 4477 4488 4662 4736 4884 4896 4928 5032 5082 5236 5328 5476 5544 5661 5698 5712 5808 5984 6171 6216 6336 6512 6528 6732 6776 6919 7104 7326 7392 7548 7616 7623 7744 7854 8064 8214 8228 8288 8547 8568 8712 8806 8954 8976 9324 9583 9768 9792 9856 10064 10164 10472 10656 10952 11088 11322 11396 11424 11616 11781 11968 12321 12342 12432 12672 13024 13209 13431 13464 13552 13838 14208 14399 14652 14784 15059 15096 15232 15246 15488 15708 16428 16456 16576 17094 17136 17424 17612 17908 17952 18513 18648 19166 19536 19584 20128 20328 20757 20944 21312 21904 22176 22644 22792 22848 23232 23273 23562 23936 24642 24684 24864 25641 26048 26418 26862 26928 27104 27676 28749 28798 29304 29568 30118 30192 30492 31339 31416 32856 32912 33152 34188 34272 34848 35224 35816 35904 37026 37296 38332 39072 39627 40256 40293 40656 41514 41888 42624 43197 43808 44352 45177 45288 45584 45696 46464 46546 47124 48433 49284 49368 49728 50653 51282 52096 52836 53724 53856 54208 55352 57498 57596 58608 60236 60384 60984 62271 62678 62832 65712 65824 68376 68544 69696 69819 70448 71632 71808 74052 74592 76109 76664 78144 79254 80512 80586 81312 83028 83776 86247 86394 87616 88704 90354 90576 91168 93092 94017 94248 96866 98568 98736 99456 101306 102564 105413 105672 107448 107712 108416 110704 114996 115192 117216 120472 120768 121968 124542 125356 125664 129591 131424 131648 135531 136752 137088 139392 139638 140896 143264 145299 148104 149184 151959 152218 153328 156288 158508 161172 162624 162911 165649 166056 167552 172494 172788 175232 180708 181152 182336 186184 188034 188496 193732 197136 197472 202612 205128 209457 210826 211344 214896 215424 221408 228327 229992 230384 234432 240944 241536 243936 249084 250712 251328 256003 259182 262848 263296 271062 273504 279276 281792 282051 286528 290598 296208 298368 303918 304436 306656 316239 317016 322344 325248 325822 331298 332112 344988 345576 354571 361416 362304 364672 372368 376068 376992 387464 394272 394944 405224 410256 418914 421652 422688 429792 435897 442816 455877 456654 459984 460768 468864 481888 487872 488733 496947 498168 501424 502656 512006 518364 525696 532763 542124 547008 557183 558552 563584 564102 573056 581196 592416 607836 608872 613312 632478 634032 644688 651644 662596 664224 684981 689976 691152 709142 722832 724608 744736 752136 753984 768009 774928 788544 789888 810448 820512 837828 843304 845376 859584 861101 871794 885632 911754 913308 919968 921536 948717 963776 975744 977466 993894 996336 1002848 1024012 1036728 1063713 1065526 1084248 1094016 1114366 1117104 1128204 1159543 1162392 1184832 1215672 1217744 1226624 1264956 1268064 1289376 1303288 1325192 1328448 1369962 1379952 1382304 1418284 1445664 1466199 1489472 1490841 1504272 1507968 1536018 1549856 1577088 1598289 1620896 1641024 1671549 1675656 1686608 1690752 1719168 1722202 1743588 1792021 1823508 1826616 1839936 1843072 1897434 1927552 1954932 1987788 1992672 2005696 2048024 2073456 2127426 2131052 2168496 2228732 2234208 2256408 2304027 2319086 2324784 2369664 2431344 2435488 2529912 2536128 2578752 2583303 2606576 2650384 2656896 2739924 2759904 2764608 2816033 2836568 2891328 2932398 2978944 2981682 3008544 3072036 3099712 3191139 3196578 3241792 3282048 3343098 3351312 3373216 3444404 3478629 3487176 3584042 3647016 3653232 3679872 3794868 3900281 3909864 3975576 3985344 4011392 4096048 4146912 4254852 4262104 4336992 4457464 4468416 4512816 4608054 4638172 4649568 4794867 4862688 4870976 5014647 5059824 5072256 5157504 5166606 5213152 5300768 5376063 5479848 5519808 5529216 5632066 5673136 5782656 5864796 5963364 6017088 6027707 6129013 6144072 6199424 6382278 6393156 6483584 6686196 6702624 6746432 6888808 6957258 6974352 7168084 7294032 7306464 7589736 7749909 7800562 7819728 7951152 7970688 8192096 8293824 8448099 8509704 8524208 8673984 8914928 8936832 9025632 9216108 9276344 9299136 9472111 9589734 9725376 9741952 10029294 10119648 10333212 10426304 10435887 10601536 10752126 10959696 11039616 11264132 11346272 11700843 11729592 11926728 12034176 12055414 12258026 12288144 12764556 12786312 13372392 13405248 13492864 13777616 13914516 13948704 14336168 14588064 14612928 15179472 15499818 15601124 15639456 15902304 16128189 16384192 16587648 16896198 17019408 17048416 17347968 17829856 18051264 18083121 18387039 18432216 18552688 18598272 18944222 19179468 19450752 19712231 20058588 20239296 20666424 20852608 20871774 21203072 21504252 21919392 22528264 22692544 23401686 23459184 23853456 24110828 24516052 24576288 25344297 25529112 25572624 26744784 26810496 27555232 27829032 27897408 28416333 28672336 29176128 29225856 30358944 30999636 31202248 31278912 31804608 32256378 32768384 33792396 34038816 34096832 35102529 35659712 36102528 36166242 36774078 36864432 37105376 37888444 38358936 39424462 40117176 40478592 41332848 41743548 42903091 43008504 43838784 45056528 45385088 46803372 46918368 47706912 48221656 49032104 49152576 50688594 51058224 51145248 53489568 54249363 55110464 55161117 55658064 55794816 56832666 57344672 58352256 59136693 60717888 61999272 62404496 62557824 63609216 64512756 66304777 67584792 68077632 68193664 70205058 71319424 72332484 73548156 73728864 74210752 75776888 76717872 78848924 80234352 82665696 83487096 85248999 85806182 86017008 87677568 90113056 93606744 93836736 95413824 96443312 98064208 98305152 101377188 102116448 102290496 104193221 106979136 108498726 110220928 110322234 111316128 113665332 114689344 118273386 121435776 123998544 124808992 128709273 129025512 132609554 135169584 136155264 140410116 144664968 147096312 147457728 148421504 151553776 153435744 157697848 160468704 165331392 166974192 170497998 171612364 172034016 177410079 180226112 187213488 187673472 190827648 192886624 196128416 198914331 202754376 204232896 204580992 208386442 213958272 216997452 220644468 222632256 227330664 229378688 236546772 247997088 249617984 257418546 258051024 265219108 270339168 280820232 289329936 294192624 294915456 303107552 306871488 312579663 315395696 320937408 330662784 333948384 340995996 343224728 344068032 354820158 360452224 374426976 385773248 386127819 392256832 397828662 405508752 408465792 416772884 433994904 441288936 445264512 454661328 473093544 495994176 499235968 514837092 516102048 530438216 540678336 561640464 578659872 588385248 596742993 606215104 613742976 625159326 630791392 641874816 667896768 681991992 686449456 688136064 709640316 729352547 748853952 771546496 772255638 784513664 795657324 811017504 833545768 867989808 882577872 909322656 937738989 946187088 991988352 1029674184 1032204096 1060876432 1081356672 1123280928 1157319744 1176770496 1193485986 1212430208 1250318652 1261582784 1335793536 1363983984 1372898912 1419280632 1458705094 1497707904 1544511276 1591314648 1622035008 1667091536 1735979616 1765155744 1818645312 1875477978 1892374176 2059348368 2064408192 2121752864 2188057641 2246561856 2314639488 2353540992 2386971972 2500637304 2523165568 2727967968 2745797824 2838561264 2917410188 3089022552 3182629296 3244070016 3334183072 3471959232 3530311488 3637290624 3750955956 3784748352 4118696736 4243505728 4376115282 4493123712 4773943944 5001274608 5455935936 5491595648 5677122528 5834820376 6178045104 6365258592 6564172923 6668366144 6943918464 7060622976 7501911912 7569496704 8237393472 8487011456 8752230564 9547887888 10002549216 10911871872 11354245056 11669640752 12356090208 12730517184 13128345846 13336732288 15003823824 16474786944 17504461128 19095775776 20005098432 22708490112 23339281504 24712180416 25461034368 26256691692 30007647648 35008922256 38191551552 40010196864 46678563008 49424360832 52513383384 60015295296 70017844512 76383103104 93357126016 105026766768 120030590592 140035689024 210053533536 280071378048 420107067072 840214134144
• Sum of all divisors σ(n): 3305231092800
• Sum of proper divisors (its aliquot sum) s(n): 2465016958656
• 840214134144 is an abundant number, because the sum of its proper divisors (2465016958656) is greater than itself. Its abundance is 1624802824512

Bases of 840214134144

• Binary: 1100001110100000101010100011110110000000₂
• Hexadecimal: 0xC3A0AA3D80
• Base-36: APZLSV40

Squares and roots of 840214134144

• 840214134144 squared (840214134144²) is 705959791215351626612736
• 840214134144 cubed (840214134144³) is 593157394716485684394921965842857984
• The square root of 840214134144 is 916631.9512999753
• The cube root of 840214134144 is 9436.1896539125

Scales and comparisons

• 840,214,134,144 seconds is equal to 26,716 years, 10 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 840,214,134,144 would take you about fifty-three thousand, four hundred thirty-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 840214134144 cubic inches would be around 786.3 feet tall.

Recreational maths with 840214134144

• 840214134144 backwards is 441431412048
• 840214134144 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 840214134144's digits is 36
• More coming soon!