448313396967072

Names of 448313396967072

• Cardinal: 448313396967072 can be written as Four hundred forty-eight trillion, three hundred thirteen billion, three hundred ninety-six million, nine hundred sixty-seven thousand and seventy-two.

Scientific notation

• Scientific notation: 4.48313396967072 × 10¹⁴

Factors of 448313396967072

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 102895

Divisors of 448313396967072

• Number of divisors d(n): 648
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 72 78 84 91 96 98 104 112 117 126 144 147 156 168 169 182 196 208 224 234 252 273 288 294 312 336 338 364 392 416 441 468 504 507 546 588 624 637 672 676 728 784 819 882 936 1008 1014 1092 1176 1183 1248 1274 1352 1456 1521 1568 1638 1764 1861 1872 1911 2016 2028 2184 2352 2366 2548 2704 2912 3042 3276 3528 3549 3722 3744 3822 4056 4368 4704 4732 5096 5408 5583 5733 6084 6552 7056 7098 7444 7644 8112 8281 8736 9464 10192 10647 11166 11466 12168 13027 13104 14112 14196 14888 15288 16224 16562 16749 18928 20384 21294 22332 22932 24193 24336 24843 26054 26208 28392 29776 30576 33124 33498 37856 39081 42588 44664 45864 48386 48672 49686 52108 56784 59552 61152 66248 66996 72579 74529 78162 85176 89328 91189 91728 96772 99372 101009 104216 113568 117243 132496 133992 145158 149058 156324 169351 170352 178656 182378 183456 193544 198744 202018 208432 217737 234486 264992 267984 273567 290316 298116 303027 312648 314509 338702 340704 364756 387088 397488 404036 416864 435474 468972 508053 535968 547134 580632 596232 606054 625296 629018 677404 707063 729512 774176 794976 808072 820701 870948 909081 937944 943527 1016106 1094268 1161264 1185457 1192464 1212108 1250592 1258036 1313117 1354808 1414126 1459024 1524159 1616144 1641402 1741896 1818162 1875888 1887054 2032212 2121189 2188536 2201563 2322528 2370914 2384928 2424216 2516072 2626234 2709616 2828252 2830581 2918048 3048318 3232288 3282804 3483792 3556371 3636324 3751776 3774108 3939351 4064424 4242378 4377072 4403126 4741828 4848432 4949441 5032144 5252468 5419232 5656504 5661162 6096636 6363567 6565608 6604689 6967584 7112742 7272648 7548216 7878702 8128848 8484756 8754144 8806252 9191819 9483656 9696864 9898882 10064288 10504936 10669113 11313008 11322324 11818053 12193272 12727134 13131216 13209378 14225484 14545296 14848323 15096432 15410941 15757404 16257696 16969512 17070521 17612504 18383638 18967312 19797764 19814067 21009872 21338226 22626016 22644648 23636106 24386544 25454268 26262432 26418756 27575457 28450968 29090592 29696646 30192864 30821882 31514808 33939024 34141042 35225008 36767276 37934624 39595528 39628134 42019744 42676452 44544969 45289296 46232823 47272212 48773088 50908536 51211563 52837512 55150914 56901936 59393292 61643764 63029616 64342733 67878048 68282084 70450016 73534552 79191056 79256268 82726371 85352904 89089938 90578592 92465646 94544424 101817072 102423126 105675024 110301828 113803872 118786584 119493647 123287528 126059232 128685466 136564168 138698469 147069104 153634689 158382112 158512536 165452742 170705808 178179876 184931292 187977749 189088848 193028199 203634144 204846252 211350048 220603656 237573168 238987294 246575056 257370932 273128336 277396938 294138208 307269378 317025072 330905484 341411616 356359752 358480941 369862584 375955498 378177696 386056398 409692504 441207312 475146336 477974588 493150112 514741864 546256672 554793876 563933247 579084597 614538756 634050144 661810968 712719504 716961882 739725168 751910996 772112796 819385008 836455529 882414624 955949176 1029483728 1075442823 1109587752 1127866494 1158169194 1229077512 1315844243 1323621936 1425439008 1433923764 1479450336 1503821992 1544225592 1638770016 1672911058 1691799741 1911898352 2058967456 2150885646 2219175504 2255732988 2316338388 2443710737 2458155024 2509366587 2631688486 2647243872 2867847528 3007643984 3088451184 3345822116 3383599482 3823796704 3947532729 4301771292 4438351008 4511465976 4632676776 4887421474 4916310048 5018733174 5263376972 5735695056 6015287968 6176902368 6691644232 6767198964 7331132211 7528099761 7895065458 8603542584 9022931952 9210909701 9265353552 9774842948 10037466348 10526753944 11471390112 11842598187 13383288464 13534397928 14662264422 15056199522 15790130916 17105975159 17207085168 18045863904 18421819402 18530707104 19549685896 20074932696 21053507888 21993396633 23685196374 26766576928 27068795856 27632729103 29324528844 30112399044 31580261832 31768239581 34211950318 34414170336 36843638804 39099371792 40149865392 42107015776 43986793266 47370392748 51317925477 54137591712 55265458206 58649057688 60224798088 63160523664 63536479162 68423900636 73687277608 78198743584 80299730784 82898187309 87973586532 94740785496 95304718743 102635850954 110530916412 117298115376 119741826113 120449596176 126321047328 127072958324 136847801272 147374555216 153953776431 165796374618 175947173064 189481570992 190609437486 205271701908 221061832824 222377677067 234596230752 239483652226 240899192352 254145916648 273695602544 285914156229 294749110432 307907552862 331592749236 351894346128 359225478339 378963141984 381218874972 410543403816 442123665648 444755354134 478967304452 508291833296 547391205088 571828312458 615815105724 663185498472 667133031201 703788692256 718450956678 762437749944 821086807632 884247331296 889510708268 957934608904 1016583666592 1077676435017 1143656624916 1231630211448 1326370996944 1334266062402 1436901913356 1524875499888 1556643739469 1642173615264 1779021416536 1915869217808 2001399093603 2155352870034 2287313249832 2463260422896 2652741993888 2668532124804 2873803826712 3049750999776 3113287478938 3558042833072 3831738435616 4002798187206 4310705740068 4574626499664 4669931218407 4926520845792 5337064249608 5747607653424 6226574957876 7116085666144 8005596374412 8621411480136 9149252999328 9339862436814 10674128499216 11495215306848 12453149915752 14009793655221 16011192748824 17242822960272 18679724873628 21348256998432 24906299831504 28019587310442 32022385497648 34485645920544 37359449747256 49812599663008 56039174620884 64044770995296 74718899494512 112078349241768 149437798989024 224156698483536 448313396967072
• Sum of all divisors σ(n): 1606770667773180
• Sum of proper divisors (its aliquot sum) s(n): 1158457270806108
• 448313396967072 is an abundant number, because the sum of its proper divisors (1158457270806108) is greater than itself. Its abundance is 710143873839036

Bases of 448313396967072

• Binary: 1100101111011110100011000110001100011011010100000₂
• Hexadecimal: 0x197BD18C636A0
• Base-36: 4EWWBXG140

Squares and roots of 448313396967072

• 448313396967072 squared (448313396967072²) is 200984901900155481928252253184
• 448313396967072 cubed (448313396967072³) is 90104224109952428081658558188889615855157248
• The square root of 448313396967072 is 21173412.5016982561
• The cube root of 448313396967072 is 76535.0856171705

Scales and comparisons

• 448,313,396,967,072 seconds is equal to 14,254,979 years, 15 weeks, 3 days, 21 hours, 31 minutes, 12 seconds.
• To count from 1 to 448,313,396,967,072 would take you about thirty-five million, six hundred thirty-seven thousand, four hundred forty-eight 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 448313396967072 cubic inches would be around 6377.9 feet tall.

Recreational maths with 448313396967072

• 448313396967072 backwards is 270769693313844
• 448313396967072 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 448313396967072's digits is 72
• More coming soon!