428420668824400

Names of 428420668824400

• Cardinal: 428420668824400 can be written as Four hundred twenty-eight trillion, four hundred twenty billion, six hundred sixty-eight million, eight hundred twenty-four thousand, four hundred.

Scientific notation

• Scientific notation: 4.284206688244 × 10¹⁴

Factors of 428420668824400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 140

Divisors of 428420668824400

• Number of divisors d(n): 1050
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 17 20 25 28 34 35 40 49 50 56 68 70 80 85 98 100 109 112 119 136 140 170 175 196 200 218 238 245 272 280 289 340 343 350 392 400 425 436 476 490 545 560 578 595 680 686 700 763 784 833 850 872 952 980 1090 1156 1190 1225 1360 1372 1400 1445 1526 1666 1700 1715 1744 1853 1904 1960 2023 2180 2312 2380 2401 2450 2725 2744 2800 2890 2975 3052 3332 3400 3430 3706 3815 3920 4046 4165 4360 4624 4760 4802 4900 4913 5341 5450 5488 5780 5831 5950 6104 6664 6800 6860 7225 7412 7630 8092 8330 8575 8720 9265 9520 9604 9800 9826 10115 10682 10900 11560 11662 11900 12005 12208 12971 13328 13720 14161 14450 14824 15260 16184 16660 16807 17150 18530 19075 19208 19600 19652 20230 20825 21364 21800 23120 23324 23800 24010 24565 25942 26705 27440 28322 28900 29155 29648 30520 31501 32368 33320 33614 34300 34391 37060 37387 38150 38416 39304 40460 40817 41650 42728 43600 46325 46648 47600 48020 49130 50575 51884 53410 56644 57800 58310 60025 61040 63002 64855 66640 67228 68600 68782 70805 74120 74774 76300 78608 80920 81634 83300 83521 84035 85456 90797 92650 93296 96040 98260 99127 101150 103768 106820 113288 115600 116620 117649 120050 122825 126004 129710 133525 134456 137200 137564 141610 145775 148240 149548 152600 157505 161840 163268 166600 167042 168070 171955 181594 185300 186935 192080 196520 198254 202300 204085 207536 213640 220507 226576 233240 235298 240100 240737 245650 252008 259420 261709 267050 268912 275128 283220 285719 291550 299096 305200 315010 324275 326536 333200 334084 336140 343910 354025 363188 370600 373870 393040 396508 404600 408170 417605 420175 427280 441014 453985 466480 470596 480200 481474 491300 495635 504016 518840 523418 534100 535517 550256 566440 571438 583100 584647 588245 598192 630020 635579 648550 653072 668168 672280 687820 693889 708050 726376 741200 747740 787525 793016 809200 816340 835210 840350 859775 882028 907970 934675 941192 960400 962948 982600 991270 1020425 1037680 1046836 1068200 1071034 1102535 1132880 1142876 1166200 1169294 1176490 1203685 1260040 1271158 1297100 1308545 1336336 1344560 1375640 1387778 1416100 1428595 1452752 1495480 1543549 1575050 1586032 1632680 1670420 1680700 1685159 1719550 1764056 1815940 1831963 1869350 1882384 1925896 1965200 1982540 2000033 2040850 2088025 2093672 2136400 2142068 2205070 2269925 2285752 2332400 2338588 2352980 2407370 2478175 2520080 2542316 2594200 2617090 2677585 2751280 2775556 2832200 2857190 2923235 2941225 2990960 3087098 3150100 3177895 3265360 3340840 3361400 3370318 3439100 3469445 3528112 3631880 3663926 3738700 3748619 3851792 3965080 4000066 4081700 4092529 4176050 4187344 4284136 4410140 4449053 4539850 4571504 4677176 4705960 4814740 4857223 4956350 5084632 5188400 5234180 5355170 5512675 5551112 5664400 5714380 5846470 5882450 6018425 6174196 6300200 6355790 6542725 6681680 6722800 6740636 6878200 6938890 7142975 7263760 7327852 7477400 7497238 7717745 7930160 8000132 8163400 8185058 8352100 8425795 8568272 8820280 8898106 9079700 9103789 9159815 9354352 9411920 9629480 9714446 9912700 10000165 10169264 10468360 10710340 10804843 11025350 11102224 11428760 11692940 11764900 11796113 12036850 12348392 12600400 12711580 12823741 13085450 13387925 13481272 13756400 13877780 14285950 14616175 14655704 14954800 14994476 15435490 15889475 16000264 16326800 16370116 16704200 16851590 17347225 17640560 17796212 18159400 18207578 18319630 18743095 19258960 19428892 19825400 20000330 20462645 20936720 21420680 21609686 22050700 22245265 22857520 23385880 23529800 23592226 24073700 24286115 24696784 25423160 25647482 26170900 26240333 26775850 26962544 27755560 28571900 28647703 29232350 29311408 29988952 30870980 31143371 31778950 32000528 32740232 33408400 33703180 34000561 34694450 35592424 36318800 36415156 36639260 37486190 38588725 38857784 39650800 40000660 40925290 42128975 42841360 43219372 44101400 44490530 45518945 45799075 46771760 47059600 47184452 48147400 48572230 50000825 50846320 51294964 52341800 52480666 53551700 54024215 55511120 57143800 57295406 58464700 58980565 59977904 61741960 62286742 63557900 63726523 64118705 65480464 67406360 68001122 69388900 71184848 72830312 73278520 74972380 75633901 77177450 77715568 80001320 81850580 82572791 84257950 86438744 88202800 88981060 91037890 91598150 93715475 94368904 96294800 97144460 100001650 102313225 102589928 104683600 104961332 107103400 108048430 111226325 114287600 114590812 116929400 117961130 121430575 123483920 124573484 127115800 127453046 128237410 131201665 134812720 136002244 138777800 143238515 145660624 146557040 149944760 151267802 154354900 155716855 160002640 163701160 165145582 168515900 170002805 172877488 177962120 182075780 183196300 183682331 187430950 188737808 194288920 200003300 200533921 204626450 205179856 209922664 214206800 216096860 218003597 222452650 227594725 229181624 233858800 235922260 242861150 249146968 254231600 254906092 256474820 262403330 270121075 272004488 277555600 286477030 294902825 299889520 302535604 308709800 311433710 318632615 320593525 327402320 330291164 337031800 340005610 355924240 364151560 366392600 367364662 374861900 378169505 388577840 400006600 401067842 409252900 412863955 419845328 432193720 436007194 444905300 446085661 455189450 458363248 471844520 485722300 498293936 509812184 512949640 524806660 529437307 540242150 544008976 572954060 578009537 589805650 605071208 617419600 622867420 637265230 641187050 656008325 660582328 674063600 680011220 716192575 728303120 732785200 734729324 749723800 756339010 778584275 800013200 802135684 818505800 825727910 850014025 864387440 872014388 889810600 892171322 910378900 918411655 943689040 971444600 1002669605 1019624368 1025899280 1049613320 1058874614 1080484300 1090017985 1145908120 1156019074 1179611300 1210142416 1245734840 1274530460 1282374100 1285776317 1312016650 1321164656 1360022440 1403737447 1432385150 1469458648 1499447600 1512678020 1557168550 1593163075 1604271368 1637011600 1651455820 1700028050 1744028776 1779621200 1784342644 1820757800 1836823310 1890847525 1942889200 2005339210 2064319775 2099226640 2117749228 2160968600 2180035970 2230428305 2291816240 2312038148 2359222600 2491469680 2549060920 2564748200 2571552634 2624033300 2647186535 2720044880 2807474894 2864770300 2890047685 2938917296 3025356040 3114337100 3122599627 3186326150 3208542736 3302911640 3400056100 3488057552 3568685288 3641515600 3673646620 3706061149 3781695050 4010678420 4128639550 4235498456 4321937200 4360071940 4460856610 4592058275 4624076296 4718445200 5013348025 5098121840 5129496400 5143105268 5248066600 5294373070 5450089925 5614949788 5729540600 5780095370 6050712080 6228674200 6245199254 6372652300 6428881585 6605823280 6800112200 7018687235 7137370576 7347293240 7412122298 7563390100 8021356840 8257279100 8470996912 8720143880 8921713220 9000434219 9184116550 9248152592 9826162129 10026696050 10286210536 10496133200 10588746140 10900179850 11152141525 11229899576 11459081200 11560190740 12457348400 12490398508 12745304600 12857763170 13235932675 13600224400 14037374470 14450238425 14694586480 14824244596 15126780200 15612998135 16042713680 16514558200 17440287760 17843426440 18000868438 18368233100 18530305745 19652324258 20053392100 20572421072 21177492280 21800359700 21858197389 22304283050 22459799152 23120381480 24980797016 25490609200 25715526340 26471865350 28074748940 28900476850 29648489192 30253560400 31225996270 32144407925 33029116400 35093436175 35686852880 36001736876 36736466200 37060611490 39304648516 40106784200 42354984560 43600719400 43716394778 44608566100 45002171095 46240762960 49130810645 49961594032 51431052680 52943730700 56149497880 57800953700 59296978384 62451992540 63003039533 64288815850 70186872350 72003473752 73472932400 74121222980 78064990675 78609297032 80213568400 87201438800 87432789556 89217132200 90004342190 92651528725 98261621290 102862105360 105887461400 109290986945 112298995760 115601907400 124903985080 126006079066 128577631700 140373744700 144006947504 148242445960 153007381723 156129981350 157218594064 174865579112 178434264400 180008684380 185303057450 196523242580 211774922800 218581973890 225010855475 231203814800 245654053225 249807970160 252012158132 257155263400 280747489400 296484891920 306014763446 312259962700 315015197665 349731158224 360017368760 370606114900 393046485160 437163947780 450021710950 491308106450 504024316264 514310526800 546454934725 561494978800 612029526892 624519925400 630030395330 720034737520 741212229800 765036908615 786092970320 874327895560 900043421900 982616212900 1008048632528 1071051672061 1092909869450 1224059053784 1249039850800 1260060790660 1482424459600 1530073817230 1575075988325 1748655791120 1800086843800 1965232425800 2142103344122 2185819738900 2448118107568 2520121581320 3060147634460 3150151976650 3600173687600 3825184543075 3930464851600 4284206688244 4371639477800 5040243162640 5355258360305 6120295268920 6300303953300 7650369086150 8568413376488 8743278955600 10710516720610 12240590537840 12600607906600 15300738172300 17136826752976 21421033441220 25201215813200 26776291801525 30601476344600 42842066882440 53552583603050 61202952689200 85684133764880 107105167206100 214210334412200 428420668824400
• Sum of all divisors σ(n): 1287581990525270
• Sum of proper divisors (its aliquot sum) s(n): 859161321700870
• 428420668824400 is an abundant number, because the sum of its proper divisors (859161321700870) is greater than itself. Its abundance is 430740652876470

Bases of 428420668824400

• Binary: 1100001011010010101110101110001111001101101010000₂
• Hexadecimal: 0x185A575C79B50
• Base-36: 47V1QKQ2J4

Squares and roots of 428420668824400

• 428420668824400 squared (428420668824400²) is 183544269475946222078035360000
• 428420668824400 cubed (428420668824400³) is 78634158687770786150718322539952830784000000
• The square root of 428420668824400 is 20698325.2661755221
• The cube root of 428420668824400 is 75385.9024707683

Scales and comparisons

• 428,420,668,824,400 seconds is equal to 13,622,452 years, 3 weeks, 6 days, 20 hours, 6 minutes, 40 seconds.
• To count from 1 to 428,420,668,824,400 would take you about thirty-four million, fifty-six thousand, one hundred thirty 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 428420668824400 cubic inches would be around 6282.2 feet tall.

Recreational maths with 428420668824400

• 428420668824400 backwards is 004428866024824
• The number of decimal digits it has is: 15
• The sum of 428420668824400's digits is 58
• More coming soon!