54338976638566400

Names of 54338976638566400

• Cardinal: 54338976638566400 can be written as Fifty-four quadrillion, three hundred thirty-eight trillion, nine hundred seventy-six billion, six hundred thirty-eight million, five hundred sixty-six thousand, four hundred.

Scientific notation

• Scientific notation: 5.43389766385664 × 10¹⁶

Factors of 54338976638566400

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 35
• Sum of prime factors: 41

Divisors of 54338976638566400

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 55 64 80 88 92 100 110 115 121 128 160 176 184 200 220 230 242 253 256 275 320 352 368 400 440 460 484 506 512 529 550 575 605 640 704 736 800 880 920 968 1012 1024 1058 1100 1150 1210 1265 1280 1331 1408 1472 1600 1760 1840 1936 2024 2048 2116 2200 2300 2420 2530 2560 2645 2662 2783 2816 2944 3025 3200 3520 3680 3872 4048 4096 4232 4400 4600 4840 5060 5120 5290 5324 5566 5632 5819 5888 6050 6325 6400 6655 7040 7360 7744 8096 8192 8464 8800 9200 9680 10120 10240 10580 10648 11132 11264 11638 11776 12100 12167 12650 12800 13225 13310 13915 14080 14720 15488 16192 16384 16928 17600 18400 19360 20240 20480 21160 21296 22264 22528 23276 23552 24200 24334 25300 25600 26450 26620 27830 28160 29095 29440 30613 30976 32384 32768 33275 33856 35200 36800 38720 40480 40960 42320 42592 44528 45056 46552 47104 48400 48668 50600 51200 52900 53240 55660 56320 58190 58880 60835 61226 61952 64009 64768 65536 66550 67712 69575 70400 73600 77440 80960 81920 84640 85184 89056 90112 93104 94208 96800 97336 101200 102400 105800 106480 111320 112640 116380 117760 121670 122452 123904 128018 129536 131072 133100 133837 135424 139150 140800 145475 147200 153065 154880 161920 163840 169280 170368 178112 180224 186208 188416 193600 194672 202400 204800 211600 212960 222640 225280 232760 235520 243340 244904 247808 256036 259072 262144 266200 267674 270848 278300 281600 290950 294400 304175 306130 309760 320045 323840 327680 338560 340736 356224 360448 372416 376832 387200 389344 404800 409600 423200 425920 445280 450560 465520 471040 486680 489808 495616 512072 518144 524288 532400 535348 541696 556600 563200 581900 588800 608350 612260 619520 640090 647680 655360 669185 677120 681472 704099 712448 720896 744832 753664 765325 774400 778688 809600 819200 846400 851840 890560 901120 931040 942080 973360 979616 991232 1024144 1036288 1048576 1064800 1070696 1083392 1113200 1126400 1163800 1177600 1216700 1224520 1239040 1280180 1295360 1310720 1338370 1354240 1362944 1408198 1424896 1441792 1472207 1489664 1507328 1530650 1548800 1557376 1600225 1619200 1638400 1692800 1703680 1781120 1802240 1862080 1884160 1946720 1959232 1982464 2048288 2072576 2097152 2129600 2141392 2166784 2226400 2252800 2327600 2355200 2433400 2449040 2478080 2560360 2590720 2621440 2676740 2708480 2725888 2816396 2849792 2883584 2944414 2979328 3014656 3061300 3097600 3114752 3200450 3238400 3276800 3345925 3385600 3407360 3520495 3562240 3604480 3724160 3768320 3893440 3918464 3964928 4096576 4145152 4194304 4259200 4282784 4333568 4452800 4505600 4655200 4710400 4866800 4898080 4956160 5120720 5181440 5242880 5353480 5416960 5451776 5632792 5699584 5767168 5888828 5958656 6029312 6122600 6195200 6229504 6400900 6476800 6553600 6691850 6771200 6814720 7040990 7124480 7208960 7361035 7448320 7536640 7786880 7836928 7929856 8193152 8290304 8388608 8518400 8565568 8667136 8905600 9011200 9310400 9420800 9733600 9796160 9912320 10241440 10362880 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265289728 272588800 274098176 277348352 281639600 284979200 288358400 294441400 297932800 301465600 311475200 313477120 317194240 323885540 327726080 331612160 335544320 342622720 346685440 348913664 360498688 364773376 369098752 376884992 381353984 385875968 391846400 396492800 398688256 404856925 409657600 414515200 419430400 428278400 433356800 436142080 450623360 455966720 461373440 471106240 476692480 482344960 498360320 501563392 507510784 518216864 524361728 530579456 545177600 548196352 554696704 563279200 569958400 576716800 588882800 595865600 602931200 622950400 626954240 634388480 647771080 655452160 663224320 671088640 685245440 693370880 697827328 720997376 729546752 738197504 753769984 762707968 771751936 783692800 792985600 797376512 809713850 819315200 829030400 838860800 856556800 866713600 872284160 901246720 911933440 922746880 942212480 953384960 964689920 996720640 1003126784 1015021568 1036433728 1048723456 1061158912 1090355200 1096392704 1109393408 1126558400 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18844249600 19067699200 19293798400 19934412800 20062535680 20300431360 20728674560 20974469120 21223178240 21927854080 22187868160 22330474496 23071916032 23345496064 24120639488 24406654976 25078169600 25375539200 25516048384 25910843200 26218086400 26528972800 27409817600 27734835200 27913093120 28839895040 29181870080 30150799360 30508318720 31895060480 32100057088 33165879296 33559150592 33957085184 34891366400 35084566528 35500589056 36049868800 36477337600 36909875200 37688499200 38135398400 38587596800 39868825600 40125071360 40600862720 41457349120 41948938240 42446356480 43855708160 44375736320 44660948992 46143832064 46690992128 48241278976 48813309952 50156339200 50751078400 51032096768 51821686400 52436172800 53057945600 54819635200 55469670400 55826186240 57679790080 58363740160 60301598720 61016637440 63790120960 64200114176 66331758592 67118301184 69782732800 70169133056 71001178112 72099737600 72954675200 75376998400 76270796800 77175193600 79737651200 80250142720 81201725440 82914698240 83897876480 84892712960 87711416320 88751472640 89321897984 92287664128 93381984256 96482557952 97626619904 100312678400 101502156800 102064193536 103643372800 104872345600 106115891200 109639270400 110939340800 111652372480 115359580160 116727480320 120603197440 122033274880 127580241920 128400228352 132663517184 134236602368 139565465600 140338266112 144199475200 145909350400 150753996800 152541593600 159475302400 160500285440 165829396480 167795752960 169785425920 175422832640 177502945280 178643795968 184575328256 186763968512 192965115904 195253239808 200625356800 203004313600 204128387072 207286745600 209744691200 212231782400 219278540800 221878681600 223304744960 230719160320 233454960640 241206394880 244066549760 255160483840 256800456704 265327034368 268473204736 279130931200 280676532224 288398950400 291818700800 301507993600 305083187200 318950604800 321000570880 331658792960 335591505920 350845665280 355005890560 369150656512 373527937024 385930231808 390506479616 401250713600 406008627200 408256774144 414573491200 419489382400 424463564800 438557081600 443757363200 446609489920 461438320640 466909921280 482412789760 488133099520 510320967680 513600913408 530654068736 536946409472 558261862400 561353064448 576797900800 583637401600 603015987200 610166374400 637901209600 642001141760 663317585920 671183011840 701691330560 738301313024 771860463616 781012959232 802501427200 816513548288 829146982400 838978764800 848927129600 877114163200 887514726400 893218979840 922876641280 933819842560 964825579520 976266199040 1020641935360 1027201826816 1061308137472 1073892818944 1116523724800 1122706128896 1153595801600 1167274803200 1206031974400 1220332748800 1275802419200 1284002283520 1326635171840 1342366023680 1403382661120 1476602626048 1543720927232 1605002854400 1633027096576 1658293964800 1677957529600 1754228326400 1775029452800 1845753282560 1867639685120 1929651159040 1952532398080 2041283870720 2054403653632 2122616274944 2147785637888 2233047449600 2245412257792 2307191603200 2334549606400 2412063948800 2440665497600 2551604838400 2568004567040 2653270343680 2684732047360 2806765322240 2953205252096 3087441854464 3210005708800 3316587929600 3355915059200 3508456652800 3691506565120 3859302318080 3905064796160 4082567741440 4108807307264 4245232549888 4295571275776 4466094899200 4490824515584 4614383206400 4669099212800 4824127897600 4881330995200 5103209676800 5136009134080 5306540687360 5369464094720 5613530644480 5906410504192 6174883708928 6420011417600 6633175859200 6711830118400 7016913305600 7383013130240 7718604636160 8165135482880 8490465099776 8591142551552 8981649031168 9228766412800 9338198425600 9648255795200 9762661990400 10206419353600 10272018268160 10613081374720 10738928189440 11227061288960 11812821008384 12349767417856 12840022835200 13266351718400 13423660236800 14033826611200 14766026260480 15437209272320 16980930199552 17963298062336 18457532825600 19296511590400 19525323980800 20412838707200 20544036536320 21226162749440 21477856378880 22454122577920 23625642016768 24699534835712 25680045670400 26532703436800 26847320473600 28067653222400 29532052520960 30874418544640 33961860399104 36915065651200 38593023180800 40825677414400 42452325498880 42955712757760 44908245155840 47251284033536 49399069671424 51360091340800 53065406873600 53694640947200 56135306444800 59064105041920 61748837089280 67923720798208 73830131302400 77186046361600 84904650997760 89816490311680 94502568067072 98798139342848 102720182681600 106130813747200 107389281894400 112270612889600 118128210083840 123497674178560 135847441596416 147660262604800 154372092723200 169809301995520 197596278685696 212261627494400 214778563788800 224541225779200 236256420167680 246995348357120 271694883192832 295320525209600 308744185446400 339618603991040 424523254988800 449082451558400 472512840335360 493990696714240 543389766385664 590641050419200 617488370892800 679237207982080 849046509977600 987981393428480 1086779532771328 1181282100838400 1234976741785600 1358474415964160 1698093019955200 2173559065542656 2362564201676800 2469953483571200 2716948831928320 3396186039910400 4939906967142400 5433897663856640 6792372079820800 10867795327713280 13584744159641600 27169488319283200 54338976638566400
• Sum of all divisors σ(n): 154963622053238400
• Sum of proper divisors (its aliquot sum) s(n): 100624645414672000
• 54338976638566400 is an abundant number, because the sum of its proper divisors (100624645414672000) is greater than itself. Its abundance is 46285668776105600

Bases of 54338976638566400

• Binary: 11000001000011010000001011101000000000000000000000000000₂
• Hexadecimal: 0xC10D02E8000000
• Base-36: EV1K58ZSV7K

Squares and roots of 54338976638566400

• 54338976638566400 squared (54338976638566400²) is 2952724382126664975779847208960000
• 54338976638566400 cubed (54338976638566400³) is 160448021220506255965790496361168649735634944000000
• The square root of 54338976638566400 is 233107221.3350894885
• The cube root of 54338976638566400 is 378765.5617371419

Scales and comparisons

• 54,338,976,638,566,400 seconds is equal to 1,727,811,375 years, 32 weeks, 3 hours, 33 minutes, 20 seconds.
• To count from 1 to 54,338,976,638,566,400 would take you about five billion, one hundred eighty-three million, four hundred thirty-four thousand, one hundred twenty-six 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 54338976638566400 cubic inches would be around 31563.8 feet tall.

Recreational maths with 54338976638566400

• 54338976638566400 backwards is 00466583667983345
• The number of decimal digits it has is: 17
• The sum of 54338976638566400's digits is 83
• More coming soon!