54001679680228800

Names of 54001679680228800

• Cardinal: 54001679680228800 can be written as Fifty-four quadrillion, one trillion, six hundred seventy-nine billion, six hundred eighty million, two hundred twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 5.40016796802288 × 10¹⁶

Factors of 54001679680228800

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 797282

Divisors of 54001679680228800

• Number of divisors d(n): 1512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 37 39 40 48 50 52 60 61 64 65 74 75 78 80 96 100 104 111 120 122 130 148 150 156 160 169 183 185 192 195 200 208 222 240 244 260 296 300 305 312 320 325 338 366 370 390 400 416 444 480 481 488 507 520 555 592 600 610 624 650 676 732 740 780 793 800 832 845 888 915 925 960 962 975 976 1014 1040 1110 1184 1200 1220 1248 1300 1352 1369 1443 1464 1480 1525 1560 1586 1600 1690 1776 1830 1850 1924 1950 1952 2028 2080 2220 2257 2368 2379 2400 2405 2440 2496 2535 2600 2704 2738 2775 2886 2928 2960 3050 3120 3172 3380 3552 3660 3700 3848 3900 3904 3965 4056 4107 4160 4225 4440 4514 4575 4758 4800 4810 4880 5070 5200 5408 5476 5550 5772 5856 5920 6100 6240 6253 6344 6760 6771 6845 7104 7215 7320 7400 7696 7800 7930 8112 8214 8450 8880 9028 9150 9516 9620 9760 10140 10309 10400 10816 10952 11100 11285 11544 11712 11840 11895 12025 12200 12480 12506 12675 12688 13520 13542 13690 14430 14640 14800 15392 15600 15860 16224 16428 16900 17760 17797 18056 18300 18759 19032 19240 19520 19825 20280 20535 20618 20800 21904 22200 22570 23088 23790 24050 24400 25012 25350 25376 27040 27084 27380 28860 29280 29341 29600 30784 30927 31200 31265 31720 32448 32856 33800 33855 34225 35520 35594 36075 36112 36600 37518 38064 38480 39650 40560 41070 41236 43808 44400 45140 46176 47580 48100 48800 50024 50700 50752 51545 53391 54080 54168 54760 56425 57720 58560 58682 59200 59475 61854 62400 62530 63440 65712 67600 67710 68450 71188 72150 72224 73200 75036 76128 76960 79300 81120 82140 82472 83509 87616 88023 88800 88985 90280 92352 93795 95160 96200 97600 100048 101400 102675 103090 106782 108336 109520 112850 115440 117364 118950 123708 125060 126880 131424 135200 135420 136900 142376 144300 144448 146400 146705 150072 152256 153920 154635 156325 158600 162240 164280 164944 167018 169275 176046 177600 177970 180560 187590 190320 192400 200096 202800 205350 206180 213564 216672 219040 225700 230880 231361 234728 237900 247416 250120 250527 253760 257725 262848 266955 270400 270840 273800 284752 288600 292800 293410 300144 309270 312650 317200 328560 329888 334036 338550 352092 355940 361120 375180 380640 381433 384800 400192 405600 410700 412360 417545 427128 433344 438080 440115 444925 451400 461760 462722 468975 469456 475800 494832 500240 501054 515450 533910 541680 547600 569504 577200 586820 600288 618540 625300 634400 657120 659776 668072 677100 694083 704184 711880 722240 733525 750360 761280 762866 769600 773175 797161 811200 821400 824720 835090 854256 880230 889850 902800 925444 937950 938912 951600 989664 1000480 1002108 1030900 1067820 1083360 1085617 1095200 1139008 1144299 1154400 1156805 1173640 1200576 1237080 1250600 1252635 1268800 1314240 1334775 1336144 1354200 1388166 1408368 1423760 1467050 1500720 1525732 1546350 1594322 1642800 1649440 1670180 1708512 1760460 1779700 1805600 1850888 1875900 1877824 1903200 1907165 1979328 2000960 2004216 2061800 2087725 2135640 2166720 2171234 2190400 2200575 2288598 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394460771952 398771818640 399420707694 410896637450 425612229510 431806170480 436525363600 453986378144 460121329200 467790018020 478526182368 493075964940 498464773300 505718938400 523830436320 525947695936 532560943592 539757713100 553295898363 561348021624 567482972680 575741560640 584737522525 598157727960 606862726080 608127023426 613495105600 616344956175 646657003200 654788045400 657434619920 665701179490 680979567216 701685027030 709353715850 719676950800 737727864484 747697159950 748464028832 758578407600 788921543904 797543637280 798841415388 821793274900 851224459020 863612340960 865411533337 873050727200 907972756288 912190535139 920242658400 922159830605 935580036040 957052364736 986151929880 996929546600 998551769235 1011437876800 1047660872640 1064030573775 1065121887184 1079515426200 1106591796726 1122696043248 1134965945360 1169475045050 1196315455920 1216254046852 1232689912350 1309576090800 1314869239840 1331402358980 1361959134432 1403370054060 1418707431700 1439353901600 1475455728968 1495394319900 1496928057664 1517156815200 1520317558565 1577843087808 1595087274560 1597682830776 1643586549800 1664252948725 1702448918040 1727224681920 1730823066674 1746101454400 1754212567575 1824381070278 1840485316800 1844319661210 1871160072080 1972303859760 1993859093200 1997103538470 2128061147550 2130243774368 2159030852400 2213183593452 2245392086496 2269931890720 2338950090100 2392630911840 2432508093704 2465379824700 2596234600011 2619152181600 2629738479680 2662804717960 2723918268864 2766479491815 2806740108120 2837414863400 2878707803200 2950911457936 2990788639800 3034313630400 3040635117130 3195365661552 3287173099600 3328505897450 3404897836080 3461646133348 3508425135150 3648762140556 3688639322420 3742320144160 3944607719520 3987718186400 3994207076940 4256122295100 4260487548736 4318061704800 4327057666685 4426367186904 4490784172992 4539863781440 4560952675695 4610799153025 4677900180200 4785261823680 4865016187408 4930759649400 4992758846175 5192469200022 5238304363200 5325609435920 5532958983630 5613480216240 5674829726800 5901822915872 5981577279600 6081270234260 6390731323104 6574346199200 6657011794900 6809795672160 6923292266696 7016850270300 7297524281112 7377278644840 7484640288320 7601587792825 7889215439040 7975436372800 7988414153880 8512244590200 8636123409600 8654115333370 8852734373808 9121905351390 9221598306050 9355800360400 9730032374816 9861519298800 9985517692350 10384938400044 10651218871840 11065917967260 11226960432480 11250349933381 11349659453600 11803645831744 11963154559200 12162540468520 12781462646208 12981173000055 13148692398400 13314023589800 13619591344320 13832397459075 13846584533392 14033700540600 14595048562224 14754557289680 15203175585650 15976828307760 17024489180400 17308230666740 17705468747616 18243810702780 18443196612100 18711600720800 19460064749632 19723038597600 19971035384700 20769876800088 21302437743680 21635288333425 22131835934520 22453920864960 22500699866762 22699318907200 22804763378475 23926309118400 24325080937040 25962346000110 26628047179600 27664794918150 27693169066784 28067401081200 29190097124448 29509114579360 30406351171300 31953656615520 33751049800143 34048978360800 34616461333480 35410937495232 36487621405560 36886393224200 37423201441600 39446077195200 39942070769400 41539753600176 43270576666850 44263671869040 45001399733524 45609526756950 48650161874080 51924692000220 53256094359200 55329589836300 55386338133568 56134802162400 56251749666905 58380194248896 59018229158720 60812702342600 63907313231040 64905865000275 67502099600286 68097956721600 69232922666960 72975242811120 73772786448400 79884141538800 83079507200352 86541153333700 88527343738080 90002799467048 91219053513900 97300323748160 103849384000440 106512188718400 110659179672600 112269604324800 112503499333810 121625404685200 129811730000550 135004199200572 138465845333920 145950485622240 147545572896800 159768283077600 166159014400704 168755249000715 173082306667400 177054687476160 180005598934096 182438107027800 207698768000880 221318359345200 225006998667620 243250809370400 259623460001100 270008398401144 276931690667840 281258748334525 291900971244480 295091145793600 319536566155200 337510498001430 346164613334800 360011197868192 364876214055600 415397536001760 442636718690400 450013997335240 486501618740800 519246920002200 540016796802288 562517496669050 675020996002860 692329226669600 720022395736384 729752428111200 830795072003520 843776245003575 885273437380800 900027994670480 1038493840004400 1080033593604576 1125034993338100 1350041992005720 1384658453339200 1459504856222400 1687552490007150 1800055989340960 2076987680008800 2160067187209152 2250069986676200 2700083984011440 3375104980014300 3600111978681920 4153975360017600 4500139973352400 5400167968022880 6750209960028600 9000279946704800 10800335936045760 13500419920057200 18000559893409600 27000839840114400 54001679680228800
• Sum of all divisors σ(n): 200405146797786672
• Sum of proper divisors (its aliquot sum) s(n): 146403467117557872
• 54001679680228800 is an abundant number, because the sum of its proper divisors (146403467117557872) is greater than itself. Its abundance is 92401787437329072

Bases of 54001679680228800

• Binary: 10111111110110100011110111010110100111010100110111000000₂
• Hexadecimal: 0xBFDA3DD69D4DC0
• Base-36: ERPZX5ZK1XC

Squares and roots of 54001679680228800

• 54001679680228800 squared (54001679680228800²) is 2916181408286036071021620349440000
• 54001679680228800 cubed (54001679680228800³) is 157478694299701040030451117518078294115151872000000
• The square root of 54001679680228800 is 232382614.8407595485
• The cube root of 54001679680228800 is 377980.2339361203

Scales and comparisons

• 54,001,679,680,228,800 seconds is equal to 1,717,086,375 years, 34 weeks, 5 days, 9 hours, 20 minutes.
• To count from 1 to 54,001,679,680,228,800 would take you about five billion, one hundred fifty-one million, two hundred fifty-nine thousand, one hundred twenty-seven 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 54001679680228800 cubic inches would be around 31498.4 feet tall.

Recreational maths with 54001679680228800

• 54001679680228800 backwards is 00882208697610045
• The number of decimal digits it has is: 17
• The sum of 54001679680228800's digits is 66
• More coming soon!