13653977735498880

Names of 13653977735498880

• Cardinal: 13653977735498880 can be written as Thirteen quadrillion, six hundred fifty-three trillion, nine hundred seventy-seven billion, seven hundred thirty-five million, four hundred ninety-eight thousand, eight hundred eighty.

Scientific notation

• Scientific notation: 1.365397773549888 × 10¹⁶

Factors of 13653977735498880

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 1443400

Divisors of 13653977735498880

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 32 38 39 40 48 52 57 60 64 65 76 78 80 95 96 104 114 120 128 130 152 156 160 190 192 195 208 228 240 247 260 285 304 312 320 380 384 390 416 456 480 494 520 570 608 624 640 741 760 780 832 912 960 988 1040 1140 1216 1235 1248 1482 1520 1560 1664 1824 1920 1976 2080 2280 2432 2470 2496 2964 3040 3120 3648 3705 3952 4160 4560 4940 4992 5928 6080 6240 7296 7410 7904 8320 9120 9880 11856 12160 12480 14820 15808 18240 19760 20231 23712 24960 29640 31616 36480 39520 40462 47424 59280 60693 79040 80924 94848 101155 118560 121386 158080 161848 202310 237120 242772 263003 303465 323696 384389 404620 474240 485544 526006 606930 647392 768778 789009 809240 971088 1052012 1153167 1213860 1294784 1315015 1423127 1537556 1578018 1618480 1921945 1942176 2104024 2306334 2427720 2589568 2630030 2846254 3075112 3156036 3236960 3843890 3884352 3945045 4208048 4269381 4612668 4855440 4997057 5260060 5692508 5765835 6150224 6312072 6473920 7115635 7687780 7768704 7890090 8416096 8538762 9225336 9710880 9994114 10520120 11385016 11531670 12300448 12624144 12947840 14231270 14991171 15375560 15780180 16832192 17077524 18450672 18500651 19421760 19988228 21040240 21346905 22770032 23063340 24600896 24985285 25248288 27039413 28462540 29982342 30751120 31560360 33664384 34155048 36901344 37001302 38843520 39976456 42080480 42693810 45540064 46126680 49201792 49970570 50496576 54078826 55501953 56925080 59964684 61502240 63120720 68310096 73802688 74002604 74955855 79952912 81118239 84160960 85387620 91080128 92253360 92503255 99941140 100993152 108157652 111003906 113850160 119929368 123004480 126241440 135197065 136620192 147605376 148005208 149911710 159905824 162236478 168321920 170775240 182160256 184506720 185006510 199882280 216315304 222007812 227700320 239858736 246008960 252482880 270394130 273240384 277509765 296010416 299823420 319811648 324472956 341550480 351512369 369013440 370013020 399764560 405591195 432630608 444015624 455400640 479717472 504965760 540788260 546480768 555019530 592020832 599646840 639623296 648945912 683100960 703024738 738026880 740026040 799529120 811182390 865261216 888031248 910801280 959434944 1054537107 1081576520 1110039060 1184041664 1199293680 1297891824 1366201920 1406049476 1480052080 1599058240 1622364780 1730522432 1757561845 1776062496 1918869888 2109074214 2163153040 2220078120 2368083328 2398587360 2595783648 2732403840 2812098952 2960104160 3198116480 3244729560 3461044864 3515123690 3552124992 4218148428 4326306080 4440156240 4797174720 5191567296 5272685535 5624197904 5920208320 6489459120 7030247380 7104249984 8436296856 8652612160 8880312480 9594349440 10383134592 10545371070 11248395808 11840416640 12978918240 14060494760 16872593712 17305224320 17760624960 21090742140 22496791616 25957836480 28120989520 28791282337 33745187424 35521249920 42181484280 44993583232 51915672960 56241979040 57582564674 67490374848 84362968560 86373847011 112483958080 115165129348 134980749696 143956411685 168725937120 172747694022 224967916160 230330258696 287912823370 337451874240 345495388044 374286670381 431869235055 460660517392 547034364403 575825646740 674903748480 690990776088 748573340762 863738470110 921321034784 1094068728806 1122860011143 1151651293480 1381981552176 1497146681524 1641103093209 1727476940220 1842642069568 1871433351905 2188137457612 2245720022286 2303302586960 2735171822015 2763963104352 2994293363048 3282206186418 3454953880440 3685284139136 3742866703810 4376274915224 4491440044572 4606605173920 5470343644030 5527926208704 5614300055715 5988586726096 6564412372836 6909907760880 7111446737239 7485733407620 8205515466045 8752549830448 8982880089144 9213210347840 10940687288060 11055852417408 11228600111430 11977173452192 13128824745672 13819815521760 14222893474478 14971466815240 16411030932090 17505099660896 17965760178288 18426420695680 21334340211717 21881374576120 22457200222860 23954346904384 26257649491344 27639631043520 28445786948956 29942933630480 32822061864180 35010199321792 35557233686195 35931520356576 42668680423434 43762749152240 44914400445720 47908693808768 52515298982688 55279262087040 56891573897912 59885867260960 65644123728360 70020398643584 71114467372390 71863040713152 85337360846868 87525498304480 89828800891440 105030597965376 106671701058585 113783147795824 119771734521920 131288247456720 142228934744780 143726081426304 170674721693736 175050996608960 179657601782880 210061195930752 213343402117170 227566295591648 239543469043840 262576494913440 284457869489560 341349443387472 350101993217920 359315203565760 426686804234340 455132591183296 525152989826880 568915738979120 682698886774944 718630407131520 853373608468680 910265182366592 1050305979653760 1137831477958240 1365397773549888 1706747216937360 2275662955916480 2730795547099776 3413494433874720 4551325911832960 6826988867749440 13653977735498880
• Sum of all divisors σ(n): 49339214752665600
• Sum of proper divisors (its aliquot sum) s(n): 35685237017166720
• 13653977735498880 is an abundant number, because the sum of its proper divisors (35685237017166720) is greater than itself. Its abundance is 22031259281667840

Bases of 13653977735498880

• Binary: 110000100000100011100001101100101100100000110010000000₂
• Hexadecimal: 0x3082386CB20C80
• Base-36: 3QFXIS0GHHC

Squares and roots of 13653977735498880

• 13653977735498880 squared (13653977735498880²) is 186431108001499123050122481254400
• 13653977735498880 cubed (13653977735498880³) is 2545526197856856123908185530577777574232195072000
• The square root of 13653977735498880 is 116850236.3519170635
• The cube root of 13653977735498880 is 239012.0132818663

Scales and comparisons

• 13,653,977,735,498,880 seconds is equal to 434,154,257 years, 24 weeks, 10 hours, 8 minutes.
• To count from 1 to 13,653,977,735,498,880 would take you about one billion, three hundred two million, four hundred sixty-two thousand, seven hundred seventy-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 13653977735498880 cubic inches would be around 19917.7 feet tall.

Recreational maths with 13653977735498880

• 13653977735498880 backwards is 08889453777935631
• The number of decimal digits it has is: 17
• The sum of 13653977735498880's digits is 93
• More coming soon!