137666999676997632

Names of 137666999676997632

• Cardinal: 137666999676997632 can be written as One hundred thirty-seven quadrillion, six hundred sixty-six trillion, nine hundred ninety-nine billion, six hundred seventy-six million, nine hundred ninety-seven thousand, six hundred thirty-two.

Scientific notation

• Scientific notation: 1.37666999676997632 × 10¹⁷

Factors of 137666999676997632

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 7854

Divisors of 137666999676997632

• Number of divisors d(n): 468
• Complete list of divisors:
  1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 139 148 192 222 256 278 296 384 417 444 512 556 592 768 834 888 1024 1112 1184 1369 1536 1668 1776 2048 2224 2368 2738 3072 3336 3552 4096 4107 4448 4736 5143 5476 6144 6672 7104 7673 8214 8896 9472 10286 10952 12288 13344 14208 15346 15429 16428 17792 18944 20572 21904 23019 26688 28416 30692 30858 32856 35584 37888 41144 43808 46038 53376 56832 61384 61716 65712 71168 75776 82288 87616 92076 106752 113664 122768 123432 131424 142336 151552 164576 175232 184152 190291 213504 227328 245536 246864 262848 283901 284672 329152 350464 368304 380582 427008 454656 491072 493728 525696 567802 569344 570873 658304 700928 736608 761164 851703 854016 982144 987456 1051392 1066547 1135604 1141746 1316608 1401856 1473216 1522328 1703406 1708032 1964288 1974912 2102784 2133094 2271208 2283492 2633216 2803712 2946432 3044656 3199641 3406812 3928576 3949824 4205568 4266188 4542416 4566984 5266432 5607424 5892864 6089312 6399282 6813624 7857152 7899648 8411136 8532376 9084832 9133968 10504337 10532864 11785728 12178624 12798564 13627248 15714304 15799296 16822272 17064752 18169664 18267936 21008674 21065728 23571456 24357248 25597128 27254496 31428608 31513011 31598592 34129504 36339328 36535872 39462239 42017348 47142912 48714496 51194256 54508992 58874929 63026022 63197184 68259008 72678656 73071744 78924478 84034696 94285824 97428992 102388512 109017984 117749858 118386717 126052044 136518016 145357312 146143488 157848956 168069392 176624787 194857984 204777024 218035968 235499716 236773434 252104088 273036032 290714624 292286976 315697912 336138784 353249574 389715968 409554048 436071936 470999432 473546868 504208176 546072064 581429248 584573952 631395824 672277568 706499148 779431936 819108096 872143872 941998864 947093736 1008416352 1092144128 1162858496 1169147904 1262791648 1344555136 1412998296 1460102843 1638216192 1744287744 1883997728 1894187472 2016832704 2178372373 2184288256 2338295808 2525583296 2689110272 2825996592 2920205686 3276432384 3488575488 3767995456 3788374944 4033665408 4356744746 4368576512 4380308529 5051166592 5378220544 5651993184 5840411372 6535117119 6552864768 7535990912 7576749888 8067330816 8183615131 8713489492 8760617058 10102333184 10756441088 11303986368 11680822744 13070234238 13105729536 15071981824 15153499776 16134661632 16367230262 17426978984 17521234116 20204666368 21512882176 22607972736 23361645488 24550845393 26140468476 30143963648 30306999552 32269323264 32734460524 34853957968 35042468232 40409332736 43025764352 45215945472 46723290976 49101690786 52280936952 60287927296 60613999104 64538646528 65468921048 69707915936 70084936464 80599777801 80818665472 90431890944 93446581952 98203381572 104561873904 120575854592 121227998208 129077293056 130937842096 139415831872 140169872928 161199555602 161637330944 180863781888 186893163904 196406763144 209123747808 241151709184 241799333403 242455996416 261875684192 278831663744 280339745856 302793759847 322399111204 361727563776 373786327808 392813526288 418247495616 483598666806 484911992832 523751368384 557663327488 560679491712 605587519694 644798222408 723455127552 747572655616 785627052576 836494991232 908381279541 967197333612 1047502736768 1115326654976 1121358983424 1211175039388 1289596444816 1495145311232 1571254105152 1672989982464 1816762559082 1934394667224 2095005473536 2230653309952 2242717966848 2422350078776 2579192889632 2990290622464 3142508210304 3345979964928 3633525118164 3868789334448 4190010947072 4461306619904 4485435933696 4844700157552 5158385779264 5980581244928 6285016420608 6691959929856 7267050236328 7737578668896 8380021894144 8922613239808 8970871867392 9689400315104 10316771558528 11203369114339 12570032841216 13383919859712 14534100472656 15475157337792 16760043788288 17941743734784 19378800630208 20633543117056 22406738228678 25140065682432 26767839719424 29068200945312 30950314675584 33520087576576 33610107343017 38757601260416 41267086234112 44813476457356 50280131364864 58136401890624 61900629351168 67220214686034 77515202520832 82534172468224 89626952914712 100560262729728 116272803781248 123801258702336 134440429372068 155030405041664 165068344936448 179253905829424 232545607562496 247602517404672 268880858744136 310060810083328 330136689872896 358507811658848 465091215124992 495205034809344 537761717488272 620121620166656 717015623317696 930182430249984 990410069618688 1075523434976544 1240243240333312 1434031246635392 1860364860499968 2151046869953088 2868062493270784 3720729720999936 4302093739906176 5736124986541568 8604187479812352 11472249973083136 17208374959624704 22944499946166272 34416749919249408 45888999892332544 68833499838498816 137666999676997632
• Sum of all divisors σ(n): 380019647532230160
• Sum of proper divisors (its aliquot sum) s(n): 242352647855232528
• 137666999676997632 is an abundant number, because the sum of its proper divisors (242352647855232528) is greater than itself. Its abundance is 104685648178234896

Bases of 137666999676997632

• Binary: 111101001000101110110100000100101000010101001000000000000₂
• Hexadecimal: 0x1E91768250A9000
• Base-36: 11NIVMKF32TC

Squares and roots of 137666999676997632

• 137666999676997632 squared (137666999676997632²) is 18952202800066466113418529733607424
• 137666999676997632 cubed (137666999676997632³) is 2609092896755143807198289620810591560774392865619968
• The square root of 137666999676997632 is 371035038.3413911921
• The cube root of 137666999676997632 is 516348.9313051899

Scales and comparisons

• 137,666,999,676,997,632 seconds is equal to 4,377,384,757 years, 38 weeks, 3 days, 2 hours, 27 minutes, 12 seconds.
• To count from 1 to 137,666,999,676,997,632 would take you about thirteen billion, one hundred thirty-two million, one hundred fifty-four thousand, two hundred seventy-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 137666999676997632 cubic inches would be around 43029.1 feet tall.

Recreational maths with 137666999676997632

• 137666999676997632 backwards is 236799676999666731
• 137666999676997632 is a Harshad number.
• The number of decimal digits it has is: 18
• The sum of 137666999676997632's digits is 111
• More coming soon!