382435523611679664

Names of 382435523611679664

• Cardinal: 382435523611679664 can be written as Three hundred eighty-two quadrillion, four hundred thirty-five trillion, five hundred twenty-three billion, six hundred eleven million, six hundred seventy-nine thousand, six hundred sixty-four.

Scientific notation

• Scientific notation: 3.82435523611679664 × 10¹⁷

Factors of 382435523611679664

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 48843115

Divisors of 382435523611679664

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 61 63 72 81 84 108 112 122 126 144 162 168 183 189 216 244 252 324 336 366 378 427 432 488 504 549 567 648 732 756 854 976 1008 1098 1134 1281 1296 1464 1512 1647 1708 2196 2268 2562 2928 3024 3294 3416 3843 4392 4536 4941 5124 6588 6832 7686 8784 9072 9882 10248 11529 13176 14153 15372 19764 20496 23058 26352 28306 30744 34587 39528 42459 46116 56612 61488 69174 79056 84918 92232 99071 113224 127377 138348 169836 184464 198142 226448 254754 276696 297213 339672 382131 396284 509508 553392 594426 679344 764262 792568 863333 891639 1019016 1146393 1188852 1528524 1585136 1726666 1783278 2038032 2292786 2377704 2589999 2674917 3057048 3453332 3566556 4585572 4755408 5179998 5349834 6043331 6114096 6906664 7133112 7769997 8024751 9171144 10359996 10699668 12086662 13813328 14266224 15539994 16049502 18129993 18342288 20719992 21399336 23309991 24173324 31079988 32099004 36259986 41439984 42798672 46619982 48346648 48828889 54389979 62159976 64198008 69929973 72519972 93239964 96693296 97657778 108779958 124319952 128396016 139859946 145039944 146486667 163169937 186479928 195315556 217559916 279719892 290079888 292973334 326339874 341802223 372959856 390631112 435119832 439460001 489509811 559439784 585946668 652679748 683604446 781262224 870239664 878920002 979019622 1025406669 1118879568 1171893336 1305359496 1318380003 1367208892 1757840004 1958039244 2050813338 2343786672 2610718992 2636760006 2734417784 2978562229 3076220007 3515680008 3916078488 3955140009 4101626676 5273520012 5468835568 5957124458 6152440014 7031360016 7832156976 7910280018 8203253352 8935686687 9228660021 10547040024 11914248916 12304880028 15820560036 16406506704 17871373374 18457320042 20849935603 21094080048 23828497832 24609760056 26807060061 27685980063 31641120072 35742746748 36914640084 41699871206 47656995664 49219520112 53614120122 55371960126 62549806809 63282240144 71485493496 73829280168 80421180183 83399742412 107228240244 110743920252 125099613618 142970986992 147658560336 160842360366 166799484824 187649420427 214456480488 221487840504 241263540549 250199227236 321684720732 333598969648 375298840854 428912960976 442975681008 482527081098 500398454472 562948261281 643369441464 691075266017 750597681708 965054162196 1000796908944 1125896522562 1286738882928 1382150532034 1501195363416 1688844783843 1930108324392 2073225798051 2251793045124 2764301064068 3002390726832 3377689567686 3860216648784 4146451596102 4503586090248 4837526862119 5528602128136 6219677394153 6755379135372 8292903192204 9007172180496 9675053724238 11057204256272 12439354788306 13510758270744 14512580586357 16585806384408 18659032182459 19350107448476 24878709576612 27021516541488 29025161172714 33171612768816 37318064364918 38700214896952 42155591227037 43537741759071 49757419153224 55977096547377 58050322345428 74636128729836 77400429793904 84311182454074 87075483518142 99514838306448 111954193094754 116100644690856 126466773681111 130613225277213 149272257459672 168622364908148 174150967036284 223908386189508 232201289381712 252933547362222 261226450554426 295089138589259 298544514919344 337244729816296 348301934072568 379400321043333 391839675831639 447816772379016 505867094724444 522452901108852 590178277178518 674489459632592 696603868145136 758800642086666 783679351663278 885267415767777 895633544758032 1011734189448888 1044905802217704 1138200963129999 1180356554357036 1517601284173332 1567358703326556 1770534831535554 2023468378897776 2089811604435408 2276401926259998 2360713108714072 2655802247303331 3035202568346664 3134717406653112 3414602889389997 3541069663071108 4552803852519996 4721426217428144 5311604494606662 6070405136693328 6269434813306224 6829205778779994 7082139326142216 7967406741909993 9105607705039992 10623208989213324 13658411557559988 14164278652284432 15934813483819986 18211215410079984 21246417978426648 23902220225729979 27316823115119976 31869626967639972 42492835956853296 47804440451459958 54633646230239952 63739253935279944 95608880902919916 127478507870559888 191217761805839832 382435523611679664
• Sum of all divisors σ(n): 1285833640409693760
• Sum of proper divisors (its aliquot sum) s(n): 903398116798014096
• 382435523611679664 is an abundant number, because the sum of its proper divisors (903398116798014096) is greater than itself. Its abundance is 520962593186334432

Bases of 382435523611679664

• Binary: 10101001110101011110001010100011110010111010101101110110000₂
• Hexadecimal: 0x54EAF151E5D5BB0
• Base-36: 2WLM2U51SB00

Squares and roots of 382435523611679664

• 382435523611679664 squared (382435523611679664²) is 146256929720139593794760555351152896
• 382435523611679664 cubed (382435523611679664³) is 55933845499358218814793408410964227892371213437906944
• The square root of 382435523611679664 is 618413715.5753255641
• The cube root of 382435523611679664 is 725859.7955518521

Scales and comparisons

• 382,435,523,611,679,664 seconds is equal to 12,160,266,700 years, 5 weeks, 3 days, 21 hours, 14 minutes, 24 seconds.
• To count from 1 to 382,435,523,611,679,664 would take you about thirty-six billion, four hundred eighty million, eight hundred thousand, one hundred 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 382435523611679664 cubic inches would be around 60488.3 feet tall.

Recreational maths with 382435523611679664

• 382435523611679664 backwards is 466976116325534283
• 382435523611679664 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 382435523611679664's digits is 81
• More coming soon!