148437315878435001

Names of 148437315878435001

• Cardinal: 148437315878435001 can be written as One hundred forty-eight quadrillion, four hundred thirty-seven trillion, three hundred fifteen billion, eight hundred seventy-eight million, four hundred thirty-five thousand and one.

Scientific notation

• Scientific notation: 1.48437315878435001 × 10¹⁷

Factors of 148437315878435001

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 3942

Divisors of 148437315878435001

• Number of divisors d(n): 264
• Complete list of divisors:
  1 3 9 11 27 33 81 99 121 131 243 297 363 393 729 891 1089 1179 1331 1441 2187 2673 3267 3537 3797 3993 4323 6561 8019 9801 10611 11391 11979 12969 15851 19683 24057 29403 31833 34173 35937 38907 41767 47553 59049 72171 88209 95499 102519 107811 116721 125301 142659 174361 216513 264627 286497 307557 323433 350163 375903 427977 459437 497407 523083 649539 793881 859491 922671 970299 1050489 1127709 1283931 1378311 1492221 1569249 2381643 2578473 2768013 2910897 3151467 3383127 3851793 4134933 4476663 4707747 5053807 5471477 7144929 7735419 8304039 8732691 9454401 10149381 11555379 12404799 13429989 14123241 14417209 15161421 16414431 24912117 26198073 28363203 30448143 34666137 37214397 40289967 42369723 43251627 45484263 49243293 60186247 74736351 78594219 85089609 91344429 103998411 111643191 120869901 127109169 129754881 136452789 147729879 158589299 180558741 224209053 274033287 311995233 334929573 362609703 381327507 389264643 409358367 443189637 475767897 541676223 662048717 822099861 935985699 1004788719 1087829109 1143982521 1167793929 1228075101 1329568911 1427303691 1625028669 1744482289 1888654379 1986146151 2466299583 3014366157 3263487327 3431947563 3503381787 3684225303 3988706733 4281911073 4875086007 5233446867 5665963137 5958438453 9043098471 9790461981 10295842689 10510145361 11052675909 11966120199 12845733219 14625258021 15700340601 16997889411 17875315359 19189305179 20775198169 27129295413 29371385943 31530436083 33158027727 35898360597 38537199657 43875774063 47101021803 50993668233 53625946077 57567915537 62325594507 94591308249 99474083181 107695081791 115611598971 131627322189 141303065409 152981004699 160877838231 172703746611 186976783521 228527179859 283773924747 298422249543 323085245373 346834796913 394881966567 423909196227 458943014097 482633514693 518111239833 560930350563 685581539577 851321774241 1040504390739 1184645899701 1271727588681 1376829042291 1447900544079 1554333719499 1682791051689 2056744618731 2513798978449 3121513172217 3553937699103 3815182766043 4130487126873 4343701632237 4663001158497 5048373155067 6170233856193 7541396935347 9364539516651 11445548298129 12391461380619 13031104896711 13989003475491 15145119465201 18510701568579 22624190806041 34336644894387 37174384141857 39093314690133 41967010426473 45435358395603 55532104705737 67872572418123 103009934683161 111523152425571 125901031279419 136306075186809 166596314117211 203617717254369 377703093838257 408918225560427 499788942351633 610853151763107 1133109281514771 1226754676681281 1499366827054899 1832559455289321 4498100481164697 5497678365867963 13494301443494091 16493035097603889 49479105292811667 148437315878435001
• Sum of all divisors σ(n): 246837960970669728
• Sum of proper divisors (its aliquot sum) s(n): 98400645092234727
• 148437315878435001 is a deficient number, because the sum of its proper divisors (98400645092234727) is less than itself. Its deficiency is 50036670786200274

Bases of 148437315878435001

• Binary: 1000001111010110101111001111001100010110001011100010111001₂
• Hexadecimal: 0x20F5AF3CC58B8B9
• Base-36: 14LKMXIW3IK9

Squares and roots of 148437315878435001

• 148437315878435001 squared (148437315878435001²) is 22033636745194291672572680981870001
• 148437315878435001 cubed (148437315878435001³) is 3270613897497097525501932257891021318368970310305001
• The square root of 148437315878435001 is 385275636.2377914509
• The cube root of 148437315878435001 is 529477.7291106575

Scales and comparisons

• 148,437,315,878,435,001 seconds is equal to 4,719,847,498 years, 8 weeks, 5 days, 17 hours, 43 minutes, 21 seconds.
• To count from 1 to 148,437,315,878,435,001 would take you about fourteen billion, one hundred fifty-nine million, five hundred forty-two thousand, four hundred ninety-four 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 148437315878435001 cubic inches would be around 44123.1 feet tall.

Recreational maths with 148437315878435001

• 148437315878435001 backwards is 100534878513734841
• The number of decimal digits it has is: 18
• The sum of 148437315878435001's digits is 72
• More coming soon!