138835055107584

Names of 138835055107584

• Cardinal: 138835055107584 can be written as One hundred thirty-eight trillion, eight hundred thirty-five billion, fifty-five million, one hundred seven thousand, five hundred eighty-four.

Scientific notation

• Scientific notation: 1.38835055107584 × 10¹⁴

Factors of 138835055107584

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 212

Divisors of 138835055107584

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 64 66 69 72 88 92 96 99 128 132 138 144 173 176 184 192 198 207 253 256 264 276 288 346 352 368 384 396 414 506 512 519 528 529 552 576 692 704 736 759 768 792 828 1012 1038 1056 1058 1104 1152 1384 1408 1472 1518 1536 1557 1584 1587 1656 1903 2024 2076 2112 2116 2208 2277 2304 2768 2816 2944 3036 3114 3168 3174 3312 3806 3979 4048 4152 4224 4232 4416 4554 4608 4761 5536 5632 5709 5819 5888 6072 6228 6336 6348 6624 7612 7958 8096 8304 8448 8464 8832 9108 9522 11072 11418 11638 11776 11937 12144 12456 12672 12696 13248 15224 15916 16192 16608 16896 16928 17127 17457 17664 18216 19044 22144 22836 23276 23874 24288 24912 25344 25392 26496 29929 30448 31832 32384 33216 33856 34254 34914 35328 35811 36432 38088 43769 44288 45672 46552 47748 48576 49824 50688 50784 52371 52992 59858 60896 63664 64768 66432 67712 68508 69828 71622 72864 76176 87538 88576 89787 91344 91517 93104 95496 97152 99648 101568 104742 105984 119716 121792 127328 129536 131307 132864 135424 137016 139656 143244 145728 152352 175076 179574 182688 183034 186208 190992 194304 199296 203136 209484 239432 243584 254656 262614 265728 269361 270848 274032 274551 279312 286488 291456 304704 329219 350152 359148 365376 366068 372416 381984 388608 393921 398592 406272 418968 478864 487168 509312 525228 538722 548064 549102 558624 572976 582912 609408 658438 688367 700304 718296 730752 732136 744832 763968 787842 797184 812544 823653 837936 957728 974336 987657 1006687 1018624 1050456 1077444 1096128 1098204 1117248 1145952 1165824 1218816 1316876 1376734 1400608 1436592 1461504 1464272 1489664 1527936 1575684 1647306 1675872 1915456 1975314 2013374 2037248 2065101 2100912 2154888 2192256 2196408 2234496 2291904 2437632 2633752 2753468 2801216 2873184 2923008 2928544 2962971 2979328 3020061 3055872 3151368 3294612 3351744 3830912 3950628 4026748 4130202 4201824 4309776 4384512 4392816 4468992 4583808 5177717 5267504 5506936 5602432 5746368 5857088 5925942 6040122 6111744 6195303 6302736 6589224 6703488 7572037 7661824 7901256 8053496 8260404 8403648 8619552 8769024 8785632 8937984 9060183 9167616 10355434 10535008 11013872 11204864 11492736 11714176 11851884 12080244 12390606 12605472 13178448 13406976 15144074 15323648 15533151 15802512 15832441 16106992 16520808 16807296 17239104 17571264 18120366 18335232 20710868 21070016 22027744 22409728 22716111 22985472 23428352 23703768 24160488 24781212 25210944 26356896 26813952 30288148 31066302 31605024 31664882 32213984 33041616 33614592 34478208 35142528 36240732 41421736 42140032 44055488 45432222 45970944 46599453 46856704 47407536 47497323 48320976 49562424 50421888 52713792 56954887 60576296 62132604 63210048 63329764 64427968 66083232 67229184 68148333 68956416 70285056 72481464 82843472 84280064 88110976 90864444 93198906 94815072 94994646 96641952 99124848 100843776 105427584 113909774 119087491 121152592 124265208 126420096 126659528 128855936 132166464 136296666 137912832 140570112 142491969 144962928 165686944 168560128 170864661 174156851 176221952 181728888 186397812 189630144 189989292 193283904 198249696 201687552 210855168 227819548 238174982 242305184 248530416 252840192 253319056 257711872 264332928 272593332 284983938 289925856 331373888 341729322 348313702 352443904 357262473 363457776 372795624 379260288 379978584 386567808 396499392 421710336 455639096 476349964 484610368 497060832 505680384 506638112 512593983 515423744 522470553 528665856 545186664 569967876 579851712 662747776 683458644 696627404 714524946 726915552 745591248 758520576 759957168 773135616 792998784 911278192 952699928 969220736 994121664 1013276224 1025187966 1044941106 1057331712 1071787419 1090373328 1139935752 1159703424 1309962401 1325495552 1366917288 1393254808 1429049892 1453831104 1491182496 1517041152 1519914336 1546271232 1567411659 1585997568 1822556384 1905399856 1938441472 1988243328 2026552448 2050375932 2089882212 2143574838 2180746656 2279871504 2319406848 2619924802 2650991104 2733834576 2739012293 2786509616 2858099784 2907662208 2982364992 3039828672 3134823318 3171995136 3645112768 3810799712 3876882944 3929887203 3976486656 4053104896 4100751864 4179764424 4287149676 4361493312 4559743008 4638813696 5239849604 5467669152 5478024586 5573019232 5716199568 5815324416 5964729984 6079657344 6269646636 7290225536 7621599424 7859774406 7952973312 8106209792 8201503728 8217036879 8359528848 8574299352 8722986624 9119486016 10479699208 10935338304 10956049172 11146038464 11432399136 11630648832 11789661609 11929459968 12159314688 12539293272 14580451072 15243198848 15719548812 16403007456 16434073758 16719057696 17148598704 17445973248 18238972032 20959398416 21870676608 21912098344 22292076928 22864798272 23579323218 23858919936 24318629376 24651110637 25078586544 29160902144 30129135223 30486397696 31439097624 32806014912 32868147516 33438115392 34297197408 34891946496 36477944064 41918796832 43741353216 43824196688 44584153856 45729596544 47158646436 49302221274 50157173088 60258270446 60972795392 62878195248 65612029824 65736295032 66876230784 68594394816 72955888128 83837593664 87482706432 87648393376 89168307712 90387405669 91459193088 94317292872 98604442548 100314346176 120516540892 125756390496 131224059648 131472590064 133752461568 137188789632 167675187328 175296786752 180774811338 182918386176 188634585744 197208885096 200628692352 241033081784 251512780992 262448119296 262945180128 267504923136 271162217007 274377579264 335350374656 350593573504 361549622676 377269171488 394417770192 401257384704 482066163568 503025561984 525890360256 542324434014 548755158528 670700749312 701187147008 723099245352 754538342976 788835540384 802514769408 964132327136 1006051123968 1051780720512 1084648868028 1402374294016 1446198490704 1509076685952 1577671080768 1928264654272 2012102247936 2103561441024 2169297736056 2892396981408 3018153371904 3155342161536 3856529308544 4207122882048 4338595472112 5784793962816 6036306743808 6310684323072 7713058617088 8677190944224 11569587925632 12621368646144 15426117234176 17354381888448 23139175851264 34708763776896 46278351702528 69417527553792 138835055107584
• Sum of all divisors σ(n): 459601384722480
• Sum of proper divisors (its aliquot sum) s(n): 320766329614896
• 138835055107584 is an abundant number, because the sum of its proper divisors (320766329614896) is greater than itself. Its abundance is 181931274507312

Bases of 138835055107584

• Binary: 11111100100010100001110001001000101111000000000₂
• Hexadecimal: 0x7E450E245E00
• Base-36: 1D7NXZ7280

Squares and roots of 138835055107584

• 138835055107584 squared (138835055107584²) is 19275172526725886125814317056
• 138835055107584 cubed (138835055107584³) is 2676069639956177531316445361216805566152704
• The square root of 138835055107584 is 11782828.8245049203
• The cube root of 138835055107584 is 51780.5166048909

Scales and comparisons

• 138,835,055,107,584 seconds is equal to 4,414,525 years, 15 weeks, 6 days, 21 hours, 26 minutes, 24 seconds.
• To count from 1 to 138,835,055,107,584 would take you about eleven million, thirty-six thousand, three hundred thirteen 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 138835055107584 cubic inches would be around 4315 feet tall.

Recreational maths with 138835055107584

• 138835055107584 backwards is 485701550538831
• The number of decimal digits it has is: 15
• The sum of 138835055107584's digits is 63
• More coming soon!