38948273482245120
38,948,273,482,245,120 is an even composite number composed of six prime numbers multiplied together.
38948273482245120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred four divisors.
Prime factorization of 38948273482245120:
210 × 33 × 5 × 7 × 19 × 2118375011
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 19 × 2118375011)See below for interesting mathematical facts about the number 38948273482245120 from the Numbermatics database.
Names of 38948273482245120
- Cardinal: 38948273482245120 can be written as Thirty-eight quadrillion, nine hundred forty-eight trillion, two hundred seventy-three billion, four hundred eighty-two million, two hundred forty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 3.894827348224512 × 1016
Factors of 38948273482245120
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 17
- Sum of prime factors: 2118375047
Divisors of 38948273482245120
- Number of divisors d(n): 704
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 27 28 30 32 35 36 38 40 42 45 48 54 56 57 60 63 64 70 72 76 80 84 90 95 96 105 108 112 114 120 126 128 133 135 140 144 152 160 168 171 180 189 190 192 210 216 224 228 240 252 256 266 270 280 285 288 304 315 320 336 342 360 378 380 384 399 420 432 448 456 480 504 512 513 532 540 560 570 576 608 630 640 665 672 684 720 756 760 768 798 840 855 864 896 912 945 960 1008 1024 1026 1064 1080 1120 1140 1152 1197 1216 1260 1280 1330 1344 1368 1440 1512 1520 1536 1596 1680 1710 1728 1792 1824 1890 1920 1995 2016 2052 2128 2160 2240 2280 2304 2394 2432 2520 2560 2565 2660 2688 2736 2880 3024 3040 3072 3192 3360 3420 3456 3584 3591 3648 3780 3840 3990 4032 4104 4256 4320 4480 4560 4608 4788 4864 5040 5120 5130 5320 5376 5472 5760 5985 6048 6080 6384 6720 6840 6912 7168 7182 7296 7560 7680 7980 8064 8208 8512 8640 8960 9120 9216 9576 9728 10080 10260 10640 10752 10944 11520 11970 12096 12160 12768 13440 13680 13824 14364 14592 15120 15360 15960 16128 16416 17024 17280 17920 17955 18240 19152 19456 20160 20520 21280 21504 21888 23040 23940 24192 24320 25536 26880 27360 27648 28728 29184 30240 31920 32256 32832 34048 34560 35840 35910 36480 38304 40320 41040 42560 43776 46080 47880 48384 48640 51072 53760 54720 57456 58368 60480 63840 64512 65664 68096 69120 71820 72960 76608 80640 82080 85120 87552 95760 96768 97280 102144 107520 109440 114912 120960 127680 131328 136192 138240 143640 145920 153216 161280 164160 170240 175104 191520 193536 204288 218880 229824 241920 255360 262656 287280 291840 306432 322560 328320 340480 383040 408576 437760 459648 483840 510720 525312 574560 612864 656640 680960 766080 875520 919296 967680 1021440 1149120 1225728 1313280 1532160 1838592 2042880 2298240 2626560 3064320 3677184 4596480 6128640 9192960 18385920 2118375011 4236750022 6355125033 8473500044 10591875055 12710250066 14828625077 16947000088 19065375099 21183750110 25420500132 29657250154 31775625165 33894000176 38130750198 40249125209 42367500220 44485875231 50841000264 57196125297 59314500308 63551250330 67788000352 74143125385 76261500396 80498250418 84735000440 88971750462 95326875495 101682000528 114392250594 118629000616 120747375627 127102500660 133457625693 135576000704 148286250770 152523000792 160996500836 169470000880 177943500924 190653750990 201245626045 203364001056 222429376155 228784501188 237258001232 241494751254 254205001320 266915251386 271152001408 281743876463 285980626485 296572501540 305046001584 321993001672 338940001760 355887001848 362242126881 381307501980 400372877079 402491252090 406728002112 444858752310 457569002376 474516002464 482989502508 508410002640 533830502772 542304002816 563487752926 571961252970 593145003080 603736878135 610092003168 643986003344 667288128465 677880003520 711774003696 724484253762 762615003960 800745754158 804982504180 813456004224 845231629389 889717504620 915138004752 949032004928 965979005016 1016820005280 1067661005544 1084608005632 1086726380643 1126975505852 1143922505940 1186290006160 1207473756270 1220184006336 1287972006688 1334576256930 1355760007040 1408719382315 1423548007392 1448968507524 1525230007920 1601491508316 1609965008360 1626912008448 1690463258778 1779435009240 1811210634405 1830276009504 1898064009856 1931958010032 2001864385395 2033640010560 2135322011088 2169216011264 2173452761286 2253951011704 2287845011880 2372580012320 2414947512540 2440368012672 2535694888167 2575944013376 2669152513860 2711520014080 2817438764630 2847096014784 2897937015048 3050460015840 3202983016632 3219930016720 3253824016896 3380926517556 3558870018480 3622421268810 3660552019008 3796128019712 3863916020064 4003728770790 4067280021120 4226158146945 4270644022176 4346905522572 4507902023408 4575690023760 4745160024640 4829895025080 4880736025344 5071389776334 5151888026752 5338305027720 5423040028160 5433631903215 5634877529260 5694192029568 5795874030096 6100920031680 6405966033264 6439860033440 6507648033792 6761853035112 7117740036960 7244842537620 7321104038016 7592256039424 7607084664501 7727832040128 8007457541580 8134560042240 8452316293890 8541288044352 8693811045144 9015804046816 9151380047520 9490320049280 9659790050160 9761472050688 10142779552668 10303776053504 10676610055440 10846080056320 10867263806430 11269755058520 11388384059136 11591748060192 12201840063360 12678474440835 12811932066528 12879720066880 13523706070224 14235480073920 14489685075240 14642208076032 15184512078848 15214169329002 15455664080256 16014915083160 16269120084480 16904632587780 17082576088704 17387622090288 18031608093632 18302760095040 18980640098560 19319580100320 19522944101376 20285559105336 20607552107008 21353220110880 21734527612860 22539510117040 22776768118272 23183496120384 24403680126720 25356948881670 25623864133056 25759440133760 27047412140448 28470960147840 28979370150480 29284416152064 30428338658004 30911328160512 32029830166320 32538240168960 33809265175560 34165152177408 34775244180576 36063216187264 36605520190080 37961280197120 38035423322505 38639160200640 40571118210672 41215104214016 42706440221760 43469055225720 45079020234080 45553536236544 46366992240768 48807360253440 50713897763340 51247728266112 51518880267520 54094824280896 56941920295680 57958740300960 58568832304128 60856677316008 61822656321024 64059660332640 67618530351120 68330304354816 69550488361152 72126432374528 73211040380160 75922560394240 76070846645010 77278320401280 81142236421344 85412880443520 86938110451440 90158040468160 92733984481536 97614720506880 101427795526680 102495456532224 103037760535040 108189648561792 113883840591360 115917480601920 121713354632016 123645312642048 128119320665280 135237060702240 136660608709632 139100976722304 144252864749056 146422080760320 152141693290020 154556640802560 162284472842688 170825760887040 173876220902880 180316080936320 185467968963072 202855591053360 204990913064448 206075521070080 216379297123584 227767681182720 231834961203840 243426709264032 256238641330560 270474121404480 278201953444608 288505729498112 292844161520640 304283386580040 309113281605120 324568945685376 341651521774080 347752441805760 360632161872640 370935937926144 405711182106720 409981826128896 432758594247168 463669922407680 486853418528064 512477282661120 540948242808960 556403906889216 608566773160080 618226563210240 649137891370752 683303043548160 695504883611520 721264323745280 811422364213440 865517188494336 927339844815360 973706837056128 1024954565322240 1081896485617920 1112807813778432 1217133546320160 1298275782741504 1391009767223040 1442528647490560 1622844728426880 1854679689630720 1947413674112256 2049909130644480 2163792971235840 2434267092640320 2596551565483008 2782019534446080 3245689456853760 3894827348224512 4327585942471680 4868534185280640 5564039068892160 6491378913707520 7789654696449024 9737068370561280 12982757827415040 19474136741122560 38948273482245120
- Sum of all divisors σ(n): 166514444143257600
- Sum of proper divisors (its aliquot sum) s(n): 127566170661012480
- 38948273482245120 is an abundant number, because the sum of its proper divisors (127566170661012480) is greater than itself. Its abundance is 88617897178767360
Bases of 38948273482245120
- Binary: 100010100101111100111111100101011000011000100100000000002
- Hexadecimal: 0x8A5F3F95862400
- Base-36: ANI0DTSPHC0
Squares and roots of 38948273482245120
- 38948273482245120 squared (389482734822451202) is 1516968007247758405915875763814400
- 38948273482245120 cubed (389482734822451203) is 59083284810102091723012466475036990156966985728000
-
The
square root of 38948273482245120 is 197353169.4253860215 -
The
cube root of 38948273482245120 is 338971.1501402569
Scales and comparisons
How big is 38948273482245120?- 38,948,273,482,245,120 seconds is equal to 1,238,434,621 years, 42 weeks, 2 days, 19 hours, 12 minutes.
-
To count from 1 to 38,948,273,482,245,120 would take you about three billion, seven hundred fifteen million, three hundred three thousand, eight hundred sixty-five 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 38948273482245120 cubic inches would be around 28247.6 feet tall.
Recreational maths with 38948273482245120
- 38948273482245120 backwards is 02154228437284983
- 38948273482245120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 38948273482245120's digits is 72
- More coming soon!
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The information we have on file for 38948273482245120 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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