40198308990582127

Names of 40198308990582127

• Cardinal: 40198308990582127 can be written as Forty quadrillion, one hundred ninety-eight trillion, three hundred eight billion, nine hundred ninety million, five hundred eighty-two thousand, one hundred twenty-seven.

Scientific notation

• Scientific notation: 4.0198308990582127 × 10¹⁶

Factors of 40198308990582127

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 6369

Divisors of 40198308990582127

• Number of divisors d(n): 288
• Complete list of divisors:
  1 7 11 19 49 71 77 133 209 361 409 497 539 781 931 1349 1463 1723 2527 2863 3479 3971 4129 4499 5467 7771 9443 10241 12061 14839 17689 18953 20041 25631 27797 28903 29039 31493 32737 38269 45419 54397 66101 78451 84427 85481 103873 122333 132671 147649 179417 194579 202321 203273 220451 229159 281941 293159 317933 319429 360107 380779 549157 551741 598367 622003 704707 727111 856331 862961 928697 1033543 1255919 1345663 1422911 1490569 1604113 1624139 1688761 1973587 2052113 2225531 2236003 2324327 2520749 3224749 3844099 3862187 4188569 4354021 4932949 5570021 5994317 6040727 6069151 6842033 7114267 7234801 7751777 9419641 10433983 10483079 11368973 11821327 13389433 13815109 14364791 15652021 16270289 16396259 17645243 18576371 22573243 25567597 27035309 30478147 32086459 34530643 38990147 42285089 42484057 44162213 47894231 49799869 50034197 54262439 61270231 65937487 73037881 73381553 78256937 79582811 82749289 93726031 105830399 113892023 114773813 115313869 119902031 130034597 135171073 147283763 158012701 178973179 224605213 254399227 272931029 297388399 309135491 335259617 348599083 350239379 352951049 379837073 428891617 485784343 505112957 513670871 547798559 550376167 609642721 656082217 740812793 803416691 807197083 839314217 910242179 946197511 950649743 1030986341 1164134389 1252812253 1318922341 1486881803 1572236491 1780794589 2163948437 2278138589 2451675653 2470657343 2568250387 2798391497 2909735203 3002241319 3400490401 3535790699 3834589913 3852633169 4267499047 5185689551 5556242527 5650379581 5875199519 6623382577 6654548201 6706069931 7216904387 8148940723 9232456387 9597146183 10408172621 10457147173 12465562123 15946970123 17294601401 17977752709 18062345117 19588740479 20368146421 23803432807 24750534893 25059524479 26968432183 28250754257 29872493329 32007087233 38893697689 43284633191 46581837407 46942489517 55284968857 57042585061 64627194709 67180023281 72857208347 73200030211 105568608013 111628790861 125844268963 126436415819 137121183353 142577024947 175416671353 182345777477 197755279799 198685796287 206591199413 224049610631 272255883823 302992432337 328597426619 386994781999 470260162967 476130965101 512400211477 608134657427 738980256091 885054910733 1050414408283 1227916699471 1276420442339 1384286958593 1390800574009 1446138395891 1568347274417 2005803552247 2120947026359 2272503193543 2708963473993 3332916755707 3925232788847 4256942601989 5172861792637 7352900857981 8934943096373 9735604018063 10122968771237 11554558491113 14040624865729 15907522354801 23330417289949 27476629521929 29798598213923 43177560677317 51470306005867 74579422988093 80881909437791 98284374060103 111352656483607 192336406653503 302242924741219 522055960916651 566173366064537 820373652869023 2115700473188533 3654391726416557 5742615570083161 40198308990582127
• Sum of all divisors σ(n): 54775297333209600
• Sum of proper divisors (its aliquot sum) s(n): 14576988342627473
• 40198308990582127 is a deficient number, because the sum of its proper divisors (14576988342627473) is less than itself. Its deficiency is 25621320647954654

Bases of 40198308990582127

• Binary: 10001110110100000010011000100111111101000111110101101111₂
• Hexadecimal: 0x8ED02627F47D6F
• Base-36: AZT407NET0V

Squares and roots of 40198308990582127

• 40198308990582127 squared (40198308990582127²) is 1615904045702315862135182331844129
• 40198308990582127 cubed (40198308990582127³) is 64956610128273435959100852551336181344709137282383
• The square root of 40198308990582127 is 200495159.5190819737
• The cube root of 40198308990582127 is 342559.4305823383

Scales and comparisons

• 40,198,308,990,582,127 seconds is equal to 1,278,181,884 years, 19 weeks, 12 hours, 22 minutes, 7 seconds.
• To count from 1 to 40,198,308,990,582,127 would take you about three billion, eight hundred thirty-four million, five hundred forty-five thousand, six hundred fifty-three 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 40198308990582127 cubic inches would be around 28546.6 feet tall.

Recreational maths with 40198308990582127

• 40198308990582127 backwards is 72128509980389104
• The number of decimal digits it has is: 17
• The sum of 40198308990582127's digits is 76
• More coming soon!