12706137846978264

Names of 12706137846978264

• Cardinal: 12706137846978264 can be written as Twelve quadrillion, seven hundred six trillion, one hundred thirty-seven billion, eight hundred forty-six million, nine hundred seventy-eight thousand, two hundred sixty-four.

Scientific notation

• Scientific notation: 1.2706137846978264 × 10¹⁶

Factors of 12706137846978264

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 3509

Divisors of 12706137846978264

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 169 216 234 312 338 351 468 507 676 702 936 1014 1352 1404 1521 2028 2197 2808 3042 3491 4056 4394 4563 6084 6591 6982 8788 9126 10473 12168 13182 13964 17576 18252 19773 20946 26364 27928 28561 31419 36504 39546 41892 45383 52728 57122 59319 62838 79092 83784 85683 90766 94257 114244 118638 125676 136149 158184 171366 181532 188514 228488 237276 251352 257049 272298 342732 363064 371293 377028 408447 474552 514098 544596 589979 685464 742586 754056 771147 816894 1028196 1089192 1113879 1179958 1225341 1485172 1542294 1633788 1769937 2056392 2227758 2359916 2450682 2970344 3084588 3267576 3341637 3539874 4455516 4719832 4826809 4901364 5309811 6169176 6683274 7079748 7669727 8911032 9653618 9802728 10024911 10619622 12187081 13366548 14159496 14480427 15339454 15929433 19307236 20049822 21239244 23009181 24374162 26733096 28960854 30678908 31858866 36561243 38614472 40099644 42478488 43441281 46018362 48748324 57921708 61357816 63717732 69027543 73122486 80199288 86882562 92036724 97496648 99706451 109683729 115843416 127435464 130323843 138055086 146244972 158432053 173765124 184073448 199412902 207082629 219367458 260647686 276110172 292489944 299119353 316864106 329051187 347530248 398825804 414165258 438734916 475296159 521295372 552220344 598238706 633728212 658102374 797651608 828330516 877469832 897358059 950592318 1042590744 1196477412 1267456424 1296183863 1316204748 1425888477 1656661032 1794716118 1901184636 2059616689 2392954824 2592367726 2632409496 2692074177 2851776954 3589432236 3802369272 3888551589 4119233378 4277665431 5184735452 5384148354 5703553908 6178850067 7178864472 7777103178 8238466756 8555330862 10369470904 10768296708 11407107816 11665654767 12357700134 15554206356 16476933512 16850390219 17110661724 18536550201 21536593416 23331309534 24715400268 26775016957 31108412712 33700780438 34221323448 34996964301 37073100402 46662619068 49430800536 50551170657 53550033914 55609650603 67401560876 69993928602 74146200804 80325050871 93325238136 101102341314 107100067828 111219301206 134803121752 139987857204 148292401608 151653511971 160650101742 202204682628 214200135656 222438602412 240975152613 279975714408 303307023942 321300203484 348075220441 404409365256 444877204824 454960535913 481950305226 606614047884 642600406968 696150440882 722925457839 909921071826 963900610452 1044225661323 1213228095768 1392300881764 1445850915678 1819842143652 1927801220904 2088451322646 2784601763528 2891701831356 3132676983969 3639684287304 4176902645292 4524977865733 5783403662712 6265353967938 8353805290584 9049955731466 9398030951907 12530707935876 13574933597199 18099911462932 18796061903814 25061415871752 27149867194398 36199822925864 37592123807628 40724800791597 54299734388796 58824712254529 75184247615256 81449601583194 108599468777592 117649424509058 122174402374791 162899203166388 176474136763587 235298849018116 244348804749582 325798406332776 352948273527174 470597698036232 488697609499164 529422410290761 705896547054348 977395218998328 1058844820581522 1411793094108696 1588267230872283 2117689641163044 3176534461744566 4235379282326088 6353068923489132 12706137846978264
• Sum of all divisors σ(n): 38247018246983400
• Sum of proper divisors (its aliquot sum) s(n): 25540880400005136
• 12706137846978264 is an abundant number, because the sum of its proper divisors (25540880400005136) is greater than itself. Its abundance is 12834742553026872

Bases of 12706137846978264

• Binary: 101101001001000010101001000000110101100001011011011000₂
• Hexadecimal: 0x2D242A40D616D8
• Base-36: 3H3Y757C060

Squares and roots of 12706137846978264

• 12706137846978264 squared (12706137846978264²) is 161445938986413434184515688453696
• 12706137846978264 cubed (12706137846978264³) is 2051354355596211365951309688021333019628282463744
• The square root of 12706137846978264 is 112721505.6986831773
• The cube root of 12706137846978264 is 233348.2352995981

Scales and comparisons

• 12,706,137,846,978,264 seconds is equal to 404,015,880 years, 45 weeks, 1 day, 7 hours, 44 minutes, 24 seconds.
• To count from 1 to 12,706,137,846,978,264 would take you about one billion, two hundred twelve million, forty-seven thousand, six hundred forty-two 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 12706137846978264 cubic inches would be around 19445.7 feet tall.

Recreational maths with 12706137846978264

• 12706137846978264 backwards is 46287964873160721
• The number of decimal digits it has is: 17
• The sum of 12706137846978264's digits is 81
• More coming soon!