131112636838201872

Names of 131112636838201872

• Cardinal: 131112636838201872 can be written as One hundred thirty-one quadrillion, one hundred twelve trillion, six hundred thirty-six billion, eight hundred thirty-eight million, two hundred one thousand, eight hundred seventy-two.

Scientific notation

• Scientific notation: 1.31112636838201872 × 10¹⁷

Factors of 131112636838201872

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 170

Divisors of 131112636838201872

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 127 144 168 186 217 248 252 254 279 336 372 381 434 496 504 508 558 651 744 762 868 889 1008 1016 1116 1143 1302 1488 1524 1736 1778 1953 2032 2232 2286 2604 2667 3048 3472 3556 3906 3937 4464 4572 5208 5334 6096 7112 7812 7874 8001 9144 10416 10668 11811 14224 15624 15748 16002 16129 18288 21336 23622 27559 31248 31496 32004 32258 35433 42672 47244 48387 55118 62992 64008 64516 70866 82677 94488 96774 110236 112903 128016 129032 141732 145161 165354 188976 193548 220472 225806 248031 258064 283464 290322 330708 338709 387096 440944 451612 496062 499999 566928 580644 661416 677418 774192 903224 992124 999998 1016127 1161288 1322832 1354836 1499997 1806448 1984248 1999996 2032254 2048383 2322576 2709672 2999994 3499993 3968496 3999992 4064508 4096766 4499991 5419344 5999988 6145149 6999986 7999984 8129016 8193532 8999982 10499979 11999976 12290298 13999972 14338681 16258032 16387064 17999964 18435447 20999958 23999952 24580596 27999944 28677362 31499937 32774128 35999928 36870894 41999916 43016043 49161192 55999888 57354724 62999874 63499873 71999856 73741788 83999832 86032086 98322384 114709448 125999748 126999746 129048129 147483576 167999664 172064172 190499619 229418896 251999496 253999492 258096258 260144641 294967152 344128344 380999238 444499111 503998992 507998984 516192516 520289282 571498857 688256688 761998476 780433923 888998222 1015997968 1032385032 1040578564 1142997714 1333497333 1523996952 1560867846 1777996444 1821012487 2064770064 2081157128 2285995428 2341301769 2666994666 3047993904 3121735692 3555992888 3642024974 4000491999 4162314256 4571990856 4682603538 5333989332 5463037461 6243471384 7111985776 7284049948 8000983998 8064483871 9143981712 9365207076 10667978664 10926074922 12486942768 14568099896 16001967996 16128967742 16389112383 18730414152 21335957328 21852149844 24193451613 29136199792 32003935992 32257935484 32778224766 33038369407 37460828304 43704299688 48386903226 56451387097 64007871984 64515870968 65556449532 66076738814 72580354839 87408599376 96773806452 99115108221 112902774194 129031741936 131112899064 132153477628 145160709678 169354161291 193547612904 198230216442 225805548388 231268585849 262225798128 264306955256 290321419356 297345324663 338708322582 387095225808 396460432884 451611096776 462537171698 508062483873 528613910512 580642838712 594690649326 677416645164 693805757547 792920865768 903222193552 925074343396 1016124967746 1024189451617 1161285677424 1189381298652 1354833290328 1387611515094 1585841731536 1850148686792 2032249935492 2048378903234 2081417272641 2378762597304 2709666580656 2775223030188 3072568354851 3700297373584 4064499870984 4096757806468 4162834545282 4195872914689 4757525194608 5550446060376 6145136709702 7169326161319 8128999741968 8193515612936 8325669090564 8391745829378 9217705064553 11100892120752 12290273419404 12587618744067 14338652322638 16387031225872 16651338181128 16783491658756 18435410129106 21507978483957 24580546838808 25175237488134 28677304645276 29371110402823 33302676362256 33566983317512 36870820258212 37762856232201 43015956967914 49161093677616 50350474976268 57354609290552 58742220805646 64523935451871 67133966635024 73741640516424 75525712464402 86031913935828 88113331208469 100700949952536 114709218581104 117484441611292 129047870903742 130072060355359 147483281032848 151051424928804 172063827871656 176226662416938 201401899905072 234968883222584 258095741807484 260144120710718 264339993625407 302102849857608 344127655743312 352453324833876 390216181066077 469937766445168 516191483614968 520288241421436 528679987250814 604205699715216 704906649667752 780432362132154 910504422487513 1032382967229936 1040576482842872 1057359974501628 1170648543198231 1409813299335504 1560864724264308 1821008844975026 2081152965685744 2114719949003256 2341297086396462 2731513267462539 3121729448528616 3642017689950052 4229439898006512 4682594172792924 5463026534925078 6243458897057232 7284035379900104 8194539802387617 9365188345585848 10926053069850156 14568070759800208 16389079604775234 18730376691171696 21852106139700312 32778159209550468 43704212279400624 65556318419100936 131112636838201872
• Sum of all divisors σ(n): 436315370964718336
• Sum of proper divisors (its aliquot sum) s(n): 305202734126516464
• 131112636838201872 is an abundant number, because the sum of its proper divisors (305202734126516464) is greater than itself. Its abundance is 174090097288314592

Bases of 131112636838201872

• Binary: 111010001110011100011111110100000010011100100101000010000₂
• Hexadecimal: 0x1D1CE3FA04E4A10
• Base-36: ZUZJTUHI040

Squares and roots of 131112636838201872

• 131112636838201872 squared (131112636838201872²) is 17190523538666210578691562224304384
• 131112636838201872 cubed (131112636838201872³) is 2253894869783703803873418244392041819612642566606848
• The square root of 131112636838201872 is 362094789.8523284083
• The cube root of 131112636838201872 is 508020.8271037805
• Being both a perfect square and a perfect cube, 131112636838201872 is also a perfect sixth number.

Scales and comparisons

• 131,112,636,838,201,872 seconds is equal to 4,168,976,293 years, 22 weeks, 6 days, 12 hours, 31 minutes, 12 seconds.
• To count from 1 to 131,112,636,838,201,872 would take you about twelve billion, five hundred six million, nine hundred twenty-eight thousand, eight hundred eighty 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 131112636838201872 cubic inches would be around 42335.1 feet tall.

Recreational maths with 131112636838201872

• 131112636838201872 backwards is 278102838636211131
• 131112636838201872 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 131112636838201872's digits is 63
• More coming soon!