345815395849952000

Names of 345815395849952000

• Cardinal: 345815395849952000 can be written as Three hundred forty-five quadrillion, eight hundred fifteen trillion, three hundred ninety-five billion, eight hundred forty-nine million, nine hundred fifty-two thousand.

Scientific notation

• Scientific notation: 3.45815395849952 × 10¹⁷

Factors of 345815395849952000

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 553518

Divisors of 345815395849952000

• Number of divisors d(n): 1152
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 67 70 73 80 100 112 125 128 134 140 146 160 175 200 224 250 256 268 280 292 320 335 350 365 400 448 469 500 511 536 560 571 584 640 670 700 730 800 875 896 938 1000 1022 1072 1120 1142 1168 1280 1340 1400 1460 1600 1675 1750 1792 1825 1876 2000 2044 2144 2240 2284 2336 2345 2555 2680 2800 2855 2920 3200 3350 3500 3650 3752 3997 4000 4088 4288 4480 4568 4672 4690 4891 5110 5360 5600 5710 5840 6400 6700 7000 7300 7504 7994 8000 8176 8375 8576 8960 9125 9136 9344 9380 9782 10220 10720 11200 11420 11680 11725 12775 13400 14000 14275 14600 15008 15988 16000 16352 16750 17152 18250 18272 18688 18760 19564 19985 20440 21440 22400 22840 23360 23450 24455 25550 26800 28000 28550 29200 30016 31976 32000 32704 33500 34237 36500 36544 37520 38257 39128 39970 40880 41683 42880 44800 45680 46720 46900 48910 51100 53600 56000 57100 58400 58625 60032 63875 63952 65408 67000 68474 71375 73000 73088 75040 76514 78256 79940 81760 83366 85760 91360 93440 93800 97820 99925 102200 107200 112000 114200 116800 117250 120064 122275 127750 127904 130816 134000 136948 142750 146000 146176 150080 153028 156512 159880 163520 166732 171185 182720 187600 191285 195640 199850 204400 208415 214400 224000 228400 233600 234500 244550 255500 255808 267799 268000 273896 285500 291781 292000 300160 306056 313024 319760 327040 333464 342370 365440 375200 382570 391280 399700 408800 416830 428800 456800 467200 469000 489100 499625 511000 511616 535598 536000 547792 552793 571000 583562 584000 600320 611375 612112 626048 639520 654080 666928 684740 730880 750400 765140 782560 799400 817600 833660 855925 913600 938000 956425 978200 999250 1022000 1023232 1042075 1071196 1072000 1095584 1105586 1142000 1167124 1168000 1222750 1224224 1252096 1279040 1333856 1338995 1369480 1458905 1500800 1530280 1565120 1598800 1635200 1667320 1711850 1827200 1876000 1912850 1956400 1998500 2044000 2084150 2142392 2144000 2191168 2211172 2284000 2334248 2336000 2445500 2448448 2558080 2667712 2677990 2738960 2763965 2792761 2917810 3001600 3060560 3130240 3197600 3270400 3334640 3423700 3654400 3752000 3825700 3869551 3912800 3997000 4088000 4168300 4279625 4284784 4382336 4422344 4568000 4668496 4782125 4891000 4896896 5116160 5210375 5335424 5355980 5477920 5527930 5585522 5835620 6121120 6260480 6395200 6669280 6694975 6847400 7294525 7504000 7651400 7739102 7825600 7994000 8176000 8336600 8559250 8569568 8764672 8844688 9136000 9336992 9564250 9782000 9793792 10420750 10670848 10711960 10955840 11055860 11171044 11671240 12242240 12790400 13338560 13389950 13694800 13819825 13963805 14589050 15008000 15302800 15478204 15651200 15988000 16352000 16673200 17118500 17139136 17689376 18272000 18673984 19128500 19347755 19549327 19564000 20841500 21423920 21911680 22111720 22342088 23342480 24484480 25580800 26677120 26779900 27389600 27639650 27927610 29178100 30605600 30956408 31302400 31976000 33346400 33474875 34237000 34278272 35378752 36472625 37037131 37347968 38257000 38695510 39098654 39128000 40353889 41683000 42847840 43823360 44223440 44684176 46684960 48968960 53354240 53559800 54779200 55279300 55855220 58356200 61211200 61912816 63952000 66692800 66949750 68474000 68556544 69099125 69819025 70757504 72945250 74074262 74695936 76514000 77391020 78197308 78256000 80707778 83366000 85695680 88446880 89368352 93369920 96738775 97746635 107119600 109558400 110558600 111710440 116712400 122422400 123825632 127904000 133385600 133899500 136948000 138198250 139638050 141515008 145890500 148148524 153028000 154782040 156394616 156512000 161415556 166732000 171391360 176893760 178736704 185185655 186739840 193477550 195493270 201769445 214239200 219116800 221117200 223420880 233424800 244844800 247651264 259259917 266771200 267799000 273896000 276396500 279276100 282477223 291781000 296297048 306056000 309564080 312789232 315644803 322831112 333464000 342782720 349095125 353787520 357473408 370371310 373479680 386955100 390986540 403538890 428478400 442234400 446841760 466849600 483693875 488733175 495302528 518519834 535598000 547792000 552793000 558552200 564954446 583562000 592594096 612112000 619128160 625578464 631289606 645662224 666928000 698190250 707575040 714946816 740742620 773910200 781973080 807077780 856956800 884468800 893683520 925928275 933699200 967387750 977466350 990605056 1008847225 1037039668 1071196000 1095584000 1105586000 1117104400 1129908892 1167124000 1185188192 1224224000 1238256320 1251156928 1262579212 1291324448 1296299585 1333856000 1396380500 1412386115 1481485240 1547820400 1563946160 1578224015 1614155560 1713913600 1768937600 1787367040 1851856550 1867398400 1934775500 1954932700 2017694450 2074079336 2142392000 2209513621 2211172000 2234208800 2259817784 2334248000 2370376384 2443665875 2476512640 2502313856 2525158424 2582648896 2592599170 2703710563 2792761000 2824772230 2962970480 3095640800 3127892320 3156448030 3228311120 3537875200 3574734080 3703713100 3869551000 3909865400 4035388900 4148158672 4284784000 4419027242 4422344000 4468417600 4519635568 4629641375 4668496000 4740752768 4887331750 4953025280 5004627712 5044236125 5050316848 5165297792 5185198340 5407421126 5585522000 5649544460 5925940960 6191281600 6255784640 6312896060 6456622240 6481497925 7061930575 7407426200 7739102000 7819730800 7891120075 8070777800 8296317344 8569568000 8838054484 8844688000 8936835200 9039271136 9259282750 9336992000 9481505536 9774663500 10088472250 10100633696 10330595584 10370396680 10814842252 11047568105 11171044000 11299088920 11851881920 12382563200 12511569280 12625792120 12913244480 12962995850 13518552815 14123861150 14814852400 15478204000 15639461600 15782240150 16141555600 16592634688 17676108968 17689376000 17873670400 18078542272 18518565500 18925973941 19549327000 20176944500 20201267392 20740793360 21148201801 21629684504 22095136210 22342088000 22598177840 23042070619 23703763840 24765126400 25023138560 25251584240 25826488960 25925991700 27037105630 28247722300 29629704800 30956408000 31278923200 31564480300 32283111200 32407489625 33185269376 35309652875 35352217936 36157084544 37037131000 37851947882 39098654000 39455600375 40353889000 40402534784 41481586720 42296403602 43259369008 44190272420 44684176000 45196355680 46084141238 47407527680 50503168480 51652977920 51851983400 54074211260 55237840525 56495444600 59259409600 61912816000 62557846400 63128960600 64566222400 64814979250 66370538752 67592764075 70619305750 70704435872 72314169088 74074262000 75703895764 78197308000 78911200750 80707778000 80805069568 82963173440 84592807204 86518738016 88380544840 89368352000 90392711360 92168282476 94629869705 101006336960 103703966800 105741009005 108148422520 110475681050 112990889200 115210353095 118518819200 123825632000 125115692800 126257921200 129132444800 129629958500 135185528150 141238611500 141408871744 148037412607 148148524000 151407791528 156394616000 157822401500 161294494333 161415556000 165926346880 169185614408 173037476032 176761089680 180785422720 184336564952 189259739410 202012673920 207407933600 211482018010 216296845040 220951362100 225981778400 230420706190 237037638400 252515842400 258264889600 259259917000 270371056300 276189202625 282477223000 282817743488 296074825214 296297048000 302815583056 312789232000 315644803000 322588988666 322831112000 331852693760 337963820375 338371228816 346074952064 353522179360 361570845440 368673129904 378519478820 404025347840 414815867200 422964036020 432593690080 441902724200 451963556800 460841412380 473149348525 505031684800 518519834000 528705045025 540742112600 552378405250 564954446000 565635486976 576051765475 592149650428 592594096000 605631166112 625578464000 631289606000 645177977332 645662224000 675927640750 676742457632 692149904128 707044358720 737346259808 740187063035 757038957640 806472471665 829631734400 845928072040 865187380160 883805448400 903927113600 921682824760 946298697050 1010063369600 1037039668000 1057410090050 1081484225200 1104756810500 1129908892000 1152103530950 1184299300856 1185188192000 1211262332224 1262579212000 1290355954664 1291324448000 1351855281500 1353484915264 1414088717440 1474692519616 1480374126070 1514077915280 1543818731473 1612944943330 1659263468800 1691856144080 1730374760320 1767610896800 1807854227200 1843365649520 1892597394100 2020126739200 2074079336000 2114820180100 2162968450400 2209513621000 2259817784000 2304207061900 2365746742625 2368598601712 2422524664448 2525158424000 2580711909328 2643525225125 2703710563000 2706969830528 2828177434880 2880258827375 2949385039232 2960748252140 3028155830560 3087637462946 3225889886660 3383712288160 3460749520640 3535221793600 3686731299040 3700935315175 3785194788200 4032362358325 4148158672000 4229640360200 4325936900800 4419027242000 4519635568000 4608414123800 4731493485250 4737197203424 4845049328896 5050316848000 5161423818656 5287050450250 5407421126000 5413939661056 5760517654750 5898770078464 5921496504280 6056311661120 6175274925892 6451779773320 6767424576320 7070443587200 7373462598080 7401870630350 7570389576400 7719093657365 8064724716650 8296317344000 8459280720400 8651873801600 8838054484000 9039271136000 9216828247600 9462986970500 9474394406848 10100633696000 10322847637312 10574100900500 10806731120311 10814842252000 11521035309500 11842993008560 12112623322240 12350549851784 12903559546640 13534849152640 14140887174400 14746925196160 14803741260700 15140779152800 15438187314730 16129449433300 16918561440800 17303747603200 17676108968000 18433656495200 18504676575875 18925973941000 18948788813696 20161811791625 20645695274624 21148201801000 21613462240622 21629684504000 23042070619000 23685986017120 24225246644480 24701099703568 25807119093280 27069698305280 29493850392320 29607482521400 30281558305600 30876374629460 32258898866600 33837122881600 35352217936000 36867312990400 37009353151750 37851947882000 37897577627392 38595468286825 40323623583250 41291390549248 42296403602000 43226924481244 43259369008000 46084141238000 47371972034240 49402199407136 51614238186560 54033655601555 59214965042800 60563116611200 61752749258920 64517797733200 67674245763200 70704435872000 73734625980800 74018706303500 75703895764000 77190936573650 80647247166500 84592807204000 86453848962488 86518738016000 92168282476000 94743944068480 98804398814272 103228476373120 108067311203110 118429930085600 121126233222400 123505498517840 129035595466400 135348491526400 147469251961600 148037412607000 151407791528000 154381873147300 161294494333000 169185614408000 172907697924976 184336564952000 189487888136960 192977341434125 197608797628544 206456952746240 216134622406220 236859860171200 247010997035680 258071190932800 270168278007775 296074825214000 302815583056000 308763746294600 322588988666000 338371228816000 345815395849952 368673129904000 385954682868250 395217595257088 432269244812440 473719720342400 494021994071360 516142381865600 540336556015550 592149650428000 605631166112000 617527492589200 645177977332000 676742457632000 691630791699904 737346259808000 771909365736500 864538489624880 947439440684800 988043988142720 1032284763731200 1080673112031100 1184299300856000 1235054985178400 1290355954664000 1350841390038875 1383261583399808 1543818731473000 1729076979249760 1976087976285440 2161346224062200 2368598601712000 2470109970356800 2580711909328000 2701682780077750 2766523166799616 3087637462946000 3458153958499520 4322692448124400 4737197203424000 4940219940713600 5161423818656000 5403365560155500 6175274925892000 6916307916999040 8645384896248800 9880439881427200 10806731120311000 12350549851784000 13832615833998080 17290769792497600 21613462240622000 24701099703568000 34581539584995200 43226924481244000 49402199407136000 69163079169990400 86453848962488000 172907697924976000 345815395849952000
• Sum of all divisors σ(n): 1014694876020553728
• Sum of proper divisors (its aliquot sum) s(n): 668879480170601728
• 345815395849952000 is an abundant number, because the sum of its proper divisors (668879480170601728) is greater than itself. Its abundance is 323064084320649728

Bases of 345815395849952000

• Binary: 10011001100100101010100010100110011011111110101101100000000₂
• Hexadecimal: 0x4CC9545337F5B00
• Base-36: 2ML1BROW4SU8

Squares and roots of 345815395849952000

• 345815395849952000 squared (345815395849952000²) is 119588288006858998944498402304000000
• 345815395849952000 cubed (345815395849952000³) is 41355471156110011997302117940500976115089408000000000
• The square root of 345815395849952000 is 588060707.6229052051
• The cube root of 345815395849952000 is 701910.0188575501

Scales and comparisons

• 345,815,395,849,952,000 seconds is equal to 10,995,859,910 years, 40 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
• To count from 1 to 345,815,395,849,952,000 would take you about thirty-two billion, nine hundred eighty-seven million, five hundred seventy-nine thousand, seven 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 345815395849952000 cubic inches would be around 58492.5 feet tall.

Recreational maths with 345815395849952000

• 345815395849952000 backwards is 000259948593518543
• 345815395849952000 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 345815395849952000's digits is 80
• More coming soon!