349828962468294400

Names of 349828962468294400

• Cardinal: 349828962468294400 can be written as Three hundred forty-nine quadrillion, eight hundred twenty-eight trillion, nine hundred sixty-two billion, four hundred sixty-eight million, two hundred ninety-four thousand, four hundred.

Scientific notation

• Scientific notation: 3.498289624682944 × 10¹⁷

Factors of 349828962468294400

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 23061011

Divisors of 349828962468294400

• Number of divisors d(n): 972
• Complete list of divisors:
  1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 61 64 65 70 80 91 98 100 104 112 122 128 130 140 160 175 182 196 200 208 224 244 245 256 260 280 305 320 325 350 364 392 400 416 427 448 455 488 490 520 560 610 637 640 650 700 728 784 793 800 832 854 896 910 976 980 1040 1120 1220 1225 1274 1280 1300 1400 1456 1525 1568 1586 1600 1664 1708 1792 1820 1952 1960 2080 2135 2240 2275 2440 2450 2548 2600 2800 2912 2989 3050 3136 3172 3185 3200 3328 3416 3640 3721 3904 3920 3965 4160 4270 4480 4550 4880 4900 5096 5200 5551 5600 5824 5978 6100 6272 6344 6370 6400 6832 7280 7442 7808 7840 7930 8320 8540 8960 9100 9760 9800 10192 10400 10675 11102 11200 11648 11956 12200 12544 12688 12740 13664 14560 14884 14945 15616 15680 15860 15925 16640 17080 18200 18605 19520 19600 19825 20384 20800 21350 22204 22400 23296 23912 24400 25376 25480 26047 27328 27755 29120 29768 29890 31360 31720 31850 34160 36400 37210 38857 39040 39200 39650 40768 41600 42700 44408 44800 47824 48373 48800 50752 50960 52094 54656 55510 58240 59536 59780 62720 63440 63700 68320 72800 74420 74725 77714 78080 78400 79300 81536 83200 85400 88816 93025 95648 96746 97600 101504 101920 104188 109312 111020 116480 119072 119560 126880 127400 130235 136640 138775 145600 148840 149450 155428 156800 158600 163072 170800 177632 182329 186050 191296 193492 194285 195200 203008 203840 208376 222040 238144 239120 241865 253760 254800 260470 273280 277550 291200 297680 298900 310856 313600 317200 338611 341600 355264 364658 372100 382592 386984 388570 390400 407680 416752 444080 476288 478240 483730 507520 509600 520940 546560 555100 582400 595360 597800 621712 634400 651175 677222 683200 710528 729316 744200 765184 773968 777140 815360 833504 888160 911645 952576 956480 967460 971425 1015040 1019200 1041880 1110200 1190720 1195600 1209325 1243424 1268800 1302350 1354444 1366400 1421056 1458632 1488400 1547936 1554280 1667008 1693055 1776320 1823290 1912960 1934920 1942850 2038400 2083760 2220400 2370277 2381440 2391200 2418650 2486848 2537600 2604700 2708888 2732800 2917264 2976800 3095872 3108560 3334016 3386110 3552640 3646580 3825920 3869840 3885700 4076800 4167520 4440800 4558225 4740554 4762880 4782400 4837300 4973696 5075200 5209400 5417776 5834528 5953600 6191744 6217120 6668032 6772220 7105280 7293160 7739680 7771400 8335040 8465275 8881600 9116450 9481108 9564800 9674600 9947392 10418800 10835552 11669056 11851385 11907200 12383488 12434240 13544440 14586320 15479360 15542800 16670080 16930550 17763200 18232900 18962216 19129600 19349200 20837600 21671104 23060923 23338112 23702770 23814400 24868480 27088880 29172640 30958720 31085600 33340160 33861100 35526400 36465800 37924432 38698400 41675200 43342208 46121846 46676224 47405540 49736960 54177760 58345280 59256925 61917440 62171200 67722200 72931600 75848864 77396800 83350400 86684416 92243692 94811080 108355520 115304615 116690560 118513850 124342400 135444400 145863200 151697728 154793600 161426461 166700800 184487384 189622160 216711040 230609230 233381120 237027700 248684800 270888800 291726400 299791999 303395456 309587200 322852922 368974768 379244320 433422080 461218460 474055400 541777600 576523075 583452800 599583998 606790912 645705844 737949536 758488640 807132305 922436920 948110800 1083555200 1129985227 1153046150 1166905600 1199167996 1291411688 1406716303 1475899072 1498959995 1516977280 1614264610 1844873840 1896221600 2098543993 2167110400 2259970454 2306092300 2398335992 2582823376 2813432606 2951798144 2997919990 3033954560 3228529220 3689747680 3792443200 4035661525 4197087986 4519940908 4612184600 4796671984 5165646752 5626865212 5649926135 5903596288 5995839980 6457058440 7033581515 7379495360 7494799975 7584886400 8071323050 8394175972 9039881816 9224369200 9593343968 9847014121 10331293504 10492719965 11253730424 11299852270 11991679960 12914116880 14067163030 14689807951 14758990720 14989599950 15169772800 16142646100 16788351944 18079763632 18287311939 18448738400 19186687936 19694028242 20662587008 20985439930 22507460848 22599704540 23983359920 25828233760 28134326060 28249630675 29379615902 29517981440 29979199900 32285292200 33576703888 35167907575 36159527264 36574623878 36897476800 38373375872 39388056484 41325174016 41970879860 45014921696 45199409080 47966719840 49235070605 51656467520 52463599825 56268652120 56499261350 58759231804 59958399800 64570584400 67153407776 68929098847 70335815150 72319054528 73149247756 73449039755 73794953600 76746751744 78776112968 83941759720 85809694483 90029843392 90398818160 91436559695 95933439680 98470141210 103312935040 104927199650 112537304240 112998522700 117518463608 119916799600 128011183573 129141168800 134306815552 137858197694 140671630300 144638109056 146298495512 146898079510 147589907200 157552225936 167883519440 171619388966 180059686784 180797636320 182873119390 191866879360 196940282420 206625870080 209854399300 225074608480 225997045400 235036927216 239833599200 246175353025 256022367146 258282337600 268613631104 275716395388 281343260600 289276218112 292596991024 293796159020 315104451872 335767038880 343238777932 344645494235 360119373568 361595272640 365746238780 367245198775 383733758720 393880564840 419708798600 429048472415 450149216960 451994090800 457182798475 470073854432 479667198400 492350706050 512044734292 516564675200 537227262208 551432790776 562686521200 585193982048 587592318040 600667861381 630208903744 640055917865 671534077760 686477555864 689290988470 723190545280 731492477560 734490397550 787761129680 839417597200 858096944830 896078285011 900298433920 903988181600 914365596950 940147708864 959334396800 984701412100 1024089468584 1033129350400 1102865581552 1115526028279 1125373042400 1170387964096 1175184636080 1201335722762 1260417807488 1280111835730 1343068155520 1372955111728 1378581976940 1446381090560 1462984955120 1468980795100 1575522259360 1678835194400 1716193889660 1723227471175 1792156570022 1800596867840 1807976363200 1828731193900 1880295417728 1918668793600 1969402824200 2048178937168 2145242362075 2205731163104 2231052056558 2250746084800 2340775928192 2350369272160 2402671445524 2520835614976 2560223671460 2686136311040 2745910223456 2757163953880 2925969910240 2937961590200 3003339306905 3151044518720 3200279589325 3357670388800 3432387779320 3446454942350 3584313140044 3615952726400 3657462387800 3760590835456 3938805648400 4096357874336 4204675029667 4290484724150 4411462326208 4462104113116 4480391425055 4501492169600 4681551856384 4700738544320 4805342891048 5120447342920 5491820446912 5514327907760 5577630141395 5851939820480 5875923180400 6006678613810 6302089037440 6400559178650 6715340777600 6864775558640 6892909884700 7168626280088 7231905452800 7314924775600 7808682197953 7877611296800 8192715748672 8409350059334 8580969448300 8822924652416 8924208226232 8960782850110 9002984339200 9401477088640 9610685782096 10240894685840 10983640893824 11028655815520 11155260282790 11703879640960 11751846360800 12013357227620 12604178074880 12801118357300 13430681555200 13729551117280 13785819769400 14337252560176 14629849551200 15016696534525 15617364395906 15755222593600 16385431497344 16818700118668 17161938896600 17645849304832 17848416452464 17921565700220 18802954177280 19221371564192 20481789371680 21023375148335 21967281787648 22057311631040 22310520565580 22401957125275 23407759281920 23503692721600 24026714455240 25602236714600 27459102234560 27571639538800 27888150706975 28674505120352 29259699102400 30033393069050 31234728791812 31510445187200 32770862994688 33637400237336 34323877793200 35696832904928 35843131400440 38442743128384 39043410989765 40963578743360 42046750296670 44114623262080 44621041131160 44803914250550 47007385443200 48053428910480 51204473429200 54660775385671 54918204469120 55143279077600 55776301413950 57349010240704 58519398204800 60066786138100 62469457583624 63020890374400 67274800474672 68647755586400 71393665809856 71686262800880 76885486256768 78086821979530 81927157486720 84093500593340 88229246524160 89242082262320 89607828501100 94014770886400 96106857820960 102408946858400 105116875741675 109321550771342 109836408938240 110286558155200 111552602827900 114698020481408 117038796409600 120133572276200 124938915167248 134549600949344 137295511172800 142787331619712 143372525601760 153770972513536 156173643959060 163854314973440 168187001186680 178484164524640 179215657002200 192213715641920 195217054948825 204817893716800 210233751483350 218643101542684 220573116310400 223105205655800 229396040962816 240267144552400 249877830334496 269099201898688 273303876928355 274591022345600 285574663239424 286745051203520 312347287918120 336374002373360 356968329049280 358431314004400 384427431283840 390434109897650 409635787433600 420467502966700 437286203085368 441146232620800 446210411311600 480534289104800 499755660668992 538198403797376 546607753856710 549182044691200 573490102407040 624694575836240 672748004746720 713936658098560 716862628008800 768854862567680 780868219795300 819271574867200 840935005933400 874572406170736 892420822623200 961068578209600 999511321337984 1076396807594752 1093215507713420 1146980204814080 1249389151672480 1345496009493440 1366519384641775 1427873316197120 1433725256017600 1561736439590600 1681870011866800 1749144812341472 1784841645246400 1922137156419200 1999022642675968 2186431015426840 2498778303344960 2690992018986880 2733038769283550 2867450512035200 3123472879181200 3363740023733600 3498289624682944 3569683290492800 3844274312838400 4372862030853680 4997556606689920 5381984037973760 5466077538567100 5734901024070400 6246945758362400 6727480047467200 6996579249365888 7139366580985600 8745724061707360 9995113213379840 10932155077134200 12493891516724800 13454960094934400 13993158498731776 17491448123414720 21864310154268400 24987783033449600 26909920189868800 34982896246829440 43728620308536800 49975566066899200 69965792493658880 87457240617073600 174914481234147200 349828962468294400
• Sum of all divisors σ(n): 1102804503952480056
• Sum of proper divisors (its aliquot sum) s(n): 752975541484185656
• 349828962468294400 is an abundant number, because the sum of its proper divisors (752975541484185656) is greater than itself. Its abundance is 403146579015891256

Bases of 349828962468294400

• Binary: 10011011010110101111001011010000000000100001110111100000000₂
• Hexadecimal: 0x4DAD7968010EF00
• Base-36: 2NOK0MQPH3WG

Squares and roots of 349828962468294400

• 349828962468294400 squared (349828962468294400²) is 122380302981643331944125245071360000
• 349828962468294400 cubed (349828962468294400³) is 42812174418623802424841651628084449893865488384000000
• The square root of 349828962468294400 is 591463407.5480024149
• The cube root of 349828962468294400 is 704615.0590182027

Scales and comparisons

• 349,828,962,468,294,400 seconds is equal to 11,123,478,914 years, 24 weeks, 12 hours, 26 minutes, 40 seconds.
• To count from 1 to 349,828,962,468,294,400 would take you about thirty-three billion, three hundred seventy million, four hundred thirty-six thousand, seven hundred forty-three 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 349828962468294400 cubic inches would be around 58717.9 feet tall.

Recreational maths with 349828962468294400

• 349828962468294400 backwards is 004492864269828943
• The number of decimal digits it has is: 18
• The sum of 349828962468294400's digits is 88
• More coming soon!