54420417976320

Names of 54420417976320

• Cardinal: 54420417976320 can be written as Fifty-four trillion, four hundred twenty billion, four hundred seventeen million, nine hundred seventy-six thousand, three hundred twenty.

Scientific notation

• Scientific notation: 5.442041797632 × 10¹³

Factors of 54420417976320

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 141045

Divisors of 54420417976320

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 32 33 36 40 44 45 48 54 55 60 64 66 72 80 88 90 96 99 108 110 120 127 128 132 135 144 160 165 176 180 192 198 216 220 240 254 256 264 270 288 297 320 330 352 360 381 384 396 432 440 480 495 508 512 528 540 576 594 635 640 660 704 720 762 768 792 864 880 960 990 1016 1024 1056 1080 1143 1152 1188 1270 1280 1320 1397 1408 1440 1485 1524 1536 1584 1728 1760 1905 1920 1980 2032 2048 2112 2160 2286 2304 2376 2540 2560 2640 2794 2816 2880 2970 3048 3072 3168 3429 3456 3520 3810 3840 3960 4064 4191 4224 4320 4572 4608 4752 5080 5120 5280 5588 5632 5715 5760 5940 6096 6144 6336 6858 6912 6985 7040 7620 7680 7920 8128 8382 8448 8640 9144 9216 9504 10160 10240 10560 11176 11264 11430 11520 11880 12192 12573 12672 13716 13824 13970 14080 15240 15360 15840 16256 16764 16896 17145 17280 18288 18432 19008 20320 20955 21120 22352 22528 22860 23040 23760 24384 25146 25344 27432 27648 27940 28160 30480 30720 31680 32512 33528 33792 34290 34560 36576 37719 38016 40640 41910 42240 44704 45720 46080 47520 48768 50292 50688 54864 55296 55880 56320 60960 62865 63360 65024 67056 67584 68580 69120 73152 75438 76032 81280 83820 84480 89408 91440 92160 95040 97536 100584 101376 109728 111760 112640 121920 125730 126720 130048 134112 137160 138240 140897 146304 150876 152064 162560 167640 168960 178816 182880 188595 190080 195072 201168 202752 219456 223520 243840 251460 253440 260096 268224 274320 276480 281794 292608 301752 304128 325120 335280 337920 357632 365760 377190 380160 390144 402336 422691 438912 447040 487680 502920 506880 536448 548640 563588 585216 603504 608256 650240 670560 704485 715264 731520 754380 760320 780288 804672 845382 877824 894080 975360 1005840 1013760 1072896 1097280 1127176 1170432 1207008 1268073 1300480 1341120 1408970 1430528 1463040 1508760 1520640 1549867 1609344 1690764 1755648 1788160 1950720 2011680 2113455 2145792 2194560 2254352 2340864 2414016 2536146 2682240 2817940 2861056 2926080 3017520 3041280 3099734 3218688 3381528 3511296 3576320 3804219 3901440 4023360 4226910 4291584 4389120 4508704 4649601 4828032 5072292 5364480 5635880 5852160 6035040 6199468 6340365 6437376 6763056 7022592 7152640 7608438 7749335 8046720 8453820 8583168 8778240 9017408 9299202 9656064 10144584 10728960 11271760 11704320 12070080 12398936 12680730 12874752 13526112 13948803 14305280 15216876 15498670 16093440 16907640 17556480 17893919 18034816 18598404 19021095 19312128 20289168 21457920 22543520 23248005 24140160 24797872 25361460 25749504 27052224 27897606 30433752 30997340 32186880 33815280 35112960 35787838 36069632 37196808 38042190 38624256 40578336 41846409 42915840 45087040 46496010 48280320 49595744 50722920 53681757 54104448 55795212 60867504 61994680 64373760 67630560 69744015 71575676 72139264 74393616 76084380 77248512 81156672 83692818 89469595 90174080 92992020 96560640 99191488 101445840 107363514 108208896 111590424 121735008 123989360 128747520 135261120 139488030 143151352 144278528 148787232 152168760 161045271 162313344 167385636 178939190 180348160 185984040 193121280 196833109 198382976 202891680 209232045 214727028 216417792 223180848 243470016 247978720 268408785 270522240 278976060 286302704 288557056 297574464 304337520 322090542 324626688 334771272 357878380 360696320 371968080 386242560 393666218 396765952 405783360 418464090 429454056 432835584 446361696 483135813 486940032 495957440 536817570 541044480 557952120 572605408 590499327 595148928 608675040 644181084 649253376 669542544 715756760 721392640 743936160 787332436 793531904 805226355 811566720 836928180 858908112 865671168 892723392 966271626 973880064 984165545 991914880 1073635140 1082088960 1115904240 1145210816 1180998654 1190297856 1217350080 1288362168 1298506752 1339085088 1431513520 1442785280 1487872320 1574664872 1587063808 1610452710 1623133440 1673856360 1717816224 1771497981 1785446784 1932543252 1947760128 1968331090 1983829760 2147270280 2164177920 2231808480 2290421632 2361997308 2380595712 2415679065 2434700160 2576724336 2597013504 2678170176 2863027040 2952496635 2975744640 3149329744 3174127616 3220905420 3246266880 3347712720 3435632448 3542995962 3570893568 3865086504 3895520256 3936662180 3967659520 4294540560 4328355840 4463616960 4580843264 4723994616 4761191424 4831358130 4869400320 5153448672 5314493943 5356340352 5726054080 5904993270 5951489280 6298659488 6441810840 6492533760 6695425440 6871264896 7085991924 7141787136 7730173008 7791040512 7873324360 7935319040 8589081120 8857489905 8927233920 9161686528 9447989232 9522382848 9662716260 9738800640 10306897344 10628987886 10712680704 11452108160 11809986540 11902978560 12597318976 12883621680 12985067520 13390850880 13742529792 14171983848 14283574272 15460346016 15746648720 15870638080 17178162240 17714979810 17854467840 18323373056 18895978464 19325432520 19477601280 20613794688 21257975772 21425361408 22904216320 23619973080 23805957120 25194637952 25767243360 26572469715 26781701760 27485059584 28343967696 28567148544 30920692032 31493297440 34356324480 35429959620 35708935680 36646746112 37791956928 38650865040 38955202560 41227589376 42515951544 42850722816 45808432640 47239946160 47611914240 50389275904 51534486720 53144939430 53563403520 54970119168 56687935392 61841384064 62986594880 68712648960 70859919240 71417871360 75583913856 77301730080 82455178752 85031903088 85701445632 91616865280 94479892320 100778551808 103068973440 106289878860 107126807040 109940238336 113375870784 123682768128 125973189760 137425297920 141719838480 142835742720 151167827712 154603460160 164910357504 170063806176 183233730560 188959784640 201557103616 206137946880 212579757720 214253614080 226751741568 247365536256 251946379520 274850595840 283439676960 302335655424 309206920320 329820715008 340127612352 377919569280 403114207232 412275893760 425159515440 428507228160 453503483136 494731072512 503892759040 549701191680 566879353920 604671310848 618413840640 680255224704 755839138560 824551787520 850319030880 907006966272 989462145024 1007785518080 1133758707840 1209342621696 1236827681280 1360510449408 1511678277120 1649103575040 1700638061760 1814013932544 2015571036160 2267517415680 2473655362560 2721020898816 3023356554240 3401276123520 3628027865088 4535034831360 4947310725120 5442041797632 6046713108480 6802552247040 9070069662720 10884083595264 13605104494080 18140139325440 27210208988160 54420417976320
• Sum of all divisors σ(n): 212696915558400
• Sum of proper divisors (its aliquot sum) s(n): 158276497582080
• 54420417976320 is an abundant number, because the sum of its proper divisors (158276497582080) is greater than itself. Its abundance is 103856079605760

Bases of 54420417976320

• Binary: 1100010111111010111101101011101001100000000000₂
• Hexadecimal: 0x317EBDAE9800
• Base-36: JAGE7RPC0

Squares and roots of 54420417976320

• 54420417976320 squared (54420417976320²) is 2961581892717373004080742400
• 54420417976320 cubed (54420417976320³) is 161170524472780335524442314421691219968000
• The square root of 54420417976320 is 7377019.5862773741
• The cube root of 54420417976320 is 37895.4694092861

Scales and comparisons

• 54,420,417,976,320 seconds is equal to 1,730,400 years, 49 weeks, 5 days, 19 hours, 12 minutes.
• To count from 1 to 54,420,417,976,320 would take you about four million, three hundred twenty-six thousand and 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 54420417976320 cubic inches would be around 3158 feet tall.

Recreational maths with 54420417976320

• 54420417976320 backwards is 02367971402445
• 54420417976320 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 54420417976320's digits is 54
• More coming soon!