138307213656348116

Names of 138307213656348116

• Cardinal: 138307213656348116 can be written as One hundred thirty-eight quadrillion, three hundred seven trillion, two hundred thirteen billion, six hundred fifty-six million, three hundred forty-eight thousand, one hundred sixteen.

Scientific notation

• Scientific notation: 1.38307213656348116 × 10¹⁷

Factors of 138307213656348116

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 442

Divisors of 138307213656348116

• Number of divisors d(n): 324
• Complete list of divisors:
  1 2 4 29 41 58 82 113 116 164 226 257 452 514 841 1028 1189 1681 1682 2378 3277 3362 3364 4633 4756 6554 6724 7453 9266 10537 12769 13108 14906 18532 21074 24389 25538 29041 29812 34481 42148 48749 48778 51076 58082 66049 68962 95033 97498 97556 116164 132098 134357 137924 189953 190066 194996 216137 264196 268714 305573 370301 379906 380132 432017 432274 523529 537428 611146 740602 759812 842189 864034 864548 999949 1047058 1190681 1222292 1413721 1481204 1684378 1728068 1915421 1999898 2094116 2381362 2708009 2755957 2827442 3281633 3368756 3830842 3896353 3999796 4762724 5416018 5508637 5511914 5654884 6267973 6563266 7463537 7661684 7792706 8861617 10738729 10832036 11017274 11023828 12528493 12535946 13126532 14927074 15182341 15585412 17723234 21464689 21477458 22034548 24423481 25056986 25071892 29854148 30364682 34529749 35446468 40997909 42929378 42954916 48817921 48846962 50113972 55547209 60729364 69059498 78532261 81995818 85858756 95167357 97635842 97693924 111028369 111094418 112994237 134546953 138118996 157064522 159750473 163991636 190334714 195271684 216442573 222056738 222188836 225988474 256986893 269093906 306005017 311423141 314129044 319500946 363326297 380669428 432885146 440287889 444113476 451976948 513973786 538187812 612010034 622475981 622846282 639001892 708280949 726652594 843379681 865770292 880575778 1001362721 1027947572 1224020068 1244951962 1245692564 1415719709 1416561898 1453305188 1610869061 1686759362 1761151556 2002725442 2277435569 2489903924 2759853353 2831439418 2833123796 3219822701 3221738122 3373518724 3901861637 4005450884 4554871138 4632763717 5516425073 5519706706 5662878836 6276834617 6439645402 6443476244 7803723274 8874145493 9109742276 9265527434 10536462613 11032850146 11039413412 12546205697 12553669234 12768348781 12879290804 15607446548 17748290986 18051803449 18531054868 21072925226 22065700292 24458010749 25092411394 25107338468 25536697562 29039518909 34578566921 35496581972 36103606898 41055871561 42145850452 48916021498 50184822788 51073395124 58079037818 66045631501 69157133842 72207213796 80035747237 82111743122 93374858329 97832042996 113153987473 116158075636 132091263002 138314267684 159976327117 160071494474 164223486244 182028203893 186749716658 226307974946 257350219297 264182526004 319952654234 320142988948 363839965213 364056407786 373499433316 452615949892 514700438594 523502300021 639905308468 709282311721 727679930426 728112815572 1002778440709 1029400877188 1047004600042 1190620275269 1417721243761 1418564623442 1455359860852 2005556881418 2094009200084 2381240550538 2707870891541 2835442487522 2837129246884 3281465636717 4011113762836 4639313486393 4762481101076 5415741783082 5670884975044 6562931273434 7463156359613 9278626972786 10551358991177 10831483566164 13125862546868 14926312719226 18557253945572 20569187039909 21102717982354 29080574780561 29852625438452 41113916069069 41138374079818 42205435964708 58161149561122 82227832138138 82276748159636 116322299122244 134540091105397 164455664276276 269080182210794 305989410744133 538160364421588 611978821488266 843336668636269 1192303566003001 1223957642976532 1686673337272538 2384607132006002 3373346674545076 4769214264012004 34576803414087029 69153606828174058 138307213656348116
• Sum of all divisors σ(n): 260251385097909660
• Sum of proper divisors (its aliquot sum) s(n): 121944171441561544
• 138307213656348116 is a deficient number, because the sum of its proper divisors (121944171441561544) is less than itself. Its deficiency is 16363042214786572

Bases of 138307213656348116

• Binary: 111101011010111011010110110010011110111000101010111010100₂
• Hexadecimal: 0x1EB5DAD93DC55D4
• Base-36: 11TTTCT4K05W

Squares and roots of 138307213656348116

• 138307213656348116 squared (138307213656348116²) is 19128885349382726794314265376749456
• 138307213656348116 cubed (138307213656348116³) is 2645662833024864073509384784791499850579663649624896
• The square root of 138307213656348116 is 371896778.2279756669
• The cube root of 138307213656348116 is 517148.1126274911

Scales and comparisons

• 138,307,213,656,348,116 seconds is equal to 4,397,741,581 years, 50 weeks, 3 days, 8 hours, 41 minutes, 56 seconds.
• To count from 1 to 138,307,213,656,348,116 would take you about thirteen billion, one hundred ninety-three million, two hundred twenty-four thousand, seven hundred forty-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 138307213656348116 cubic inches would be around 43095.7 feet tall.

Recreational maths with 138307213656348116

• 138307213656348116 backwards is 611843656312703831
• The number of decimal digits it has is: 18
• The sum of 138307213656348116's digits is 68
• More coming soon!