13146141633739840

Names of 13146141633739840

• Cardinal: 13146141633739840 can be written as Thirteen quadrillion, one hundred forty-six trillion, one hundred forty-one billion, six hundred thirty-three million, seven hundred thirty-nine thousand, eight hundred forty.

Scientific notation

• Scientific notation: 1.314614163373984 × 10¹⁶

Factors of 13146141633739840

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 89197

Divisors of 13146141633739840

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 101 110 127 136 160 170 176 187 193 202 220 254 272 320 340 352 374 386 404 440 505 508 544 635 680 704 748 772 808 880 935 965 1010 1016 1088 1111 1270 1360 1397 1496 1544 1616 1717 1760 1870 1930 2020 2032 2123 2159 2222 2540 2720 2794 2992 3088 3232 3281 3434 3520 3740 3860 4040 4064 4246 4318 4444 5080 5440 5555 5588 5984 6176 6464 6562 6868 6985 7480 7720 8080 8128 8492 8585 8636 8888 10160 10615 10795 11110 11176 11968 12352 12827 13124 13736 13970 14960 15440 16160 16405 16984 17170 17272 17776 18887 19493 20320 21230 21590 22220 22352 23749 24511 25654 26248 27472 27940 29920 30880 32320 32810 33968 34340 34544 35552 36091 37774 38986 40640 42460 43180 44440 44704 47498 49022 51308 52496 54944 55880 59840 61760 64135 65620 67936 68680 69088 71104 72182 75548 77972 84920 86360 88741 88880 89408 94435 94996 97465 98044 102616 104992 109888 111760 118745 122555 128270 131240 135872 137360 138176 141097 144364 151096 155944 169840 172720 177482 177760 180455 188870 189992 194930 196088 205232 209984 214423 218059 223520 237490 245110 256540 262480 269621 274720 282194 288728 302192 311888 331381 339680 345440 354964 355520 360910 377740 379984 389860 392176 410464 416687 428846 436118 443705 447040 474980 490220 513080 524960 539242 549440 564388 577456 604384 623776 662762 679360 690880 705485 709928 721820 755480 759968 779720 784352 820928 833374 857692 872236 887410 949960 976151 980440 1026160 1049920 1072115 1078484 1090295 1128776 1154912 1208768 1247552 1325524 1348105 1410970 1419856 1443640 1508597 1510960 1519936 1559440 1568704 1656905 1666748 1715384 1744472 1774820 1899920 1952302 1960880 2052320 2083435 2144230 2156968 2180590 2257552 2309824 2398649 2475611 2651048 2696210 2821940 2839712 2887280 3017194 3021920 3118880 3313810 3333496 3430768 3488944 3549640 3645191 3799840 3904604 3921760 4104640 4166870 4288460 4313936 4361180 4515104 4583557 4797298 4880755 4951222 5302096 5392420 5643880 5679424 5774560 6034388 6043840 6237760 6627620 6666992 6861536 6977888 7099280 7290382 7542985 7599680 7809208 7843520 8333740 8576920 8627872 8722360 8962841 9030208 9167114 9594596 9761510 9902444 10604192 10784840 11270107 11287760 11549120 11993245 12068776 12378055 13255240 13333984 13723072 13955776 14198560 14580764 15085970 15618416 16594567 16667480 17127013 17153840 17255744 17444720 17925682 18225955 18334228 19189192 19523020 19804888 21208384 21569680 22540214 22575520 22917785 23986490 24137552 24756110 26510480 26667968 27231721 28397120 29161528 30171940 31236832 33189134 33334960 34254026 34307680 34889440 35851364 36451910 36668456 38378384 39046040 39609776 42085387 43139360 44814205 45080428 45151040 45835570 47972980 48275104 49512220 53020960 54463442 56350535 58323056 60343880 62473664 66378268 66669920 68508052 68615360 69778880 71702728 72903820 73336912 76756768 78092080 79219552 82972835 84170774 85635065 86278720 89628410 90160856 91671140 95945960 96550208 98591251 99024440 106041920 108926884 112701070 116646112 120687760 123971177 132756536 133339840 136158605 137016104 143405456 145807640 146673824 152368297 153513536 156184160 158439104 165945670 168341548 171270130 179256820 180321712 183342280 188397143 191591819 191891920 197182502 198048880 210426935 217853768 225402140 233292224 241375520 247942354 265513072 272317210 274032208 286810912 291159221 291615280 293347648 304736594 312368320 331891340 336683096 342540260 358513640 360643424 366684560 376794286 383183638 383783840 394365004 396097760 420853870 435707536 450804280 462939257 482751040 492956255 495884708 531026144 544634420 548064416 573621824 582318442 583230560 609473188 619855885 663782680 673366192 685080520 717027280 721286848 733369120 753588572 761841485 766367276 767567680 788730008 792195520 841707740 871415072 901608560 925878514 941985715 957959095 985912510 991769416 1062052288 1089268840 1096128832 1138280807 1164636884 1166461120 1218946376 1239711770 1327565360 1346732384 1370161040 1434054560 1455796105 1466738240 1507177144 1523682970 1532734552 1577460016 1676051267 1683415480 1729828313 1742830144 1803217120 1851757028 1883971430 1915918190 1971825020 1983538832 2107510009 2175130651 2178537680 2276561614 2314696285 2329273768 2437892752 2479423540 2655130720 2693464768 2740322080 2868109120 2911592210 3014354288 3047365940 3065469104 3154920032 3202751431 3352102534 3366830960 3459656626 3606434240 3703514056 3767942860 3831836380 3943650040 3967077664 4215020018 4350261302 4357075360 4553123228 4629392570 4658547536 4875785504 4958847080 5310261440 5480644160 5691404035 5823184420 6028708576 6094731880 6130938208 6309840064 6405502862 6704205068 6733661920 6919313252 7407028112 7535885720 7663672760 7887300080 7934155328 8380256335 8430040036 8649141565 8700522604 8714150720 9106246456 9258785140 9317095072 9751571008 9917694160 10537550045 10875653255 11382808070 11646368840 12057417152 12189463760 12261876416 12521088877 12811005724 13408410136 13467323840 13838626504 14814056224 15071771440 15327345520 15774600160 16013757155 16760512670 16860080072 17298283130 17401045208 18212492912 18517570280 18634190144 19028111443 19350773719 19835388320 21075100090 21751306510 22765616140 23292737680 23926437161 24378927520 25042177754 25622011448 26816820272 27677253008 29407081321 29628112448 30143542880 30654691040 31549200320 32027514310 33521025340 33720160144 34596566260 34802090416 36424985824 36977221067 37035140560 38056222886 38701547438 39670776640 42150200180 43502613020 45531232280 46585475360 47852874322 48757855040 50084355508 51244022896 53633640544 55354506016 58814162642 60287085760 61309382080 62605444385 64055028620 67042050680 67440320288 69193132520 69604180832 72849971648 73954442134 74070281120 76112445772 77403094876 84300400360 87005226040 91062464560 93170950720 95140557215 95705748644 96753868595 100168711016 102488045792 107267281088 110709012032 117628325284 119632185805 125210888770 128110057240 134084101360 134880640576 138386265040 139208361664 147035406605 147908884268 148140562240 152224891544 154806189752 168600800720 174010452080 182124929120 184886105335 190281114430 191411497288 193507737190 200337422032 204976091584 212858510909 219688195751 235256650568 239264371610 250421777540 256220114480 268168202720 276772530080 294070813210 295817768536 304449783088 309612379504 323477894531 337201601440 348020904160 364249858240 369772210670 380562228860 382822994576 387015474380 400674844064 406749431737 425717021818 439376391502 470513301136 478528743220 500843555080 512440228960 536336405440 553545060160 588141626420 591635537072 608899566176 619224759008 646955789062 674403202880 696041808320 739544421340 761124457720 765645989152 774030948760 801349688128 813498863474 851434043636 878752783004 941026602272 957057486440 1001687110160 1024880457920 1064292554545 1098440978755 1176283252840 1183271074144 1217799132352 1238449518016 1293911578124 1479088842680 1522248915440 1531291978304 1548061897520 1617389472655 1626997726948 1702868087272 1757505566008 1882053204544 1914114972880 2003374220320 2033747158685 2128585109090 2196881957510 2352566505680 2366542148288 2416570153261 2587823156248 2958177685360 3044497830880 3096123795040 3234778945310 3253995453896 3405736174544 3515011132016 3734699327767 3828229945760 4006748440640 4067494317370 4257170218180 4393763915020 4705133011360 4833140306522 5175646312496 5916355370720 6088995661760 6192247590080 6469557890620 6507990907792 6811472349088 7030022264032 7469398655534 7656459891520 8134988634740 8514340436360 8787527830040 9410266022720 9666280613044 10351292624992 11832710741440 12082850766305 12939115781240 13015981815584 13622944698176 14060044528064 14938797311068 16269977269480 17028680872720 17575055660080 18673496638835 19332561226088 20702585249984 24165701532610 25878231562480 26031963631168 29877594622136 32539954538960 34057361745440 35150111320160 37346993277670 38665122452176 41081692605437 48331403065220 51756463124960 59755189244272 65079909077920 68114723490880 70300222640320 74693986555340 77330244904352 82163385210874 96662806130440 103512926249920 119510378488544 130159818155840 149387973110680 154660489808704 164326770421748 193325612260880 205408463027185 239020756977088 298775946221360 328653540843496 386651224521760 410816926054370 597551892442720 657307081686992 773302449043520 821633852108740 1195103784885440 1314614163373984 1643267704217480 2629228326747968 3286535408434960 6573070816869920 13146141633739840
• Sum of all divisors σ(n): 36995577081348096
• Sum of proper divisors (its aliquot sum) s(n): 23849435447608256
• 13146141633739840 is an abundant number, because the sum of its proper divisors (23849435447608256) is greater than itself. Its abundance is 10703293813868416

Bases of 13146141633739840

• Binary: 101110101101000101100010011110001111101111110001000000₂
• Hexadecimal: 0x2EB4589E3EFC40
• Base-36: 3LFX23DERLS

Squares and roots of 13146141633739840

• 13146141633739840 squared (13146141633739840²) is 172821039854347989541064803225600
• 13146141633739840 cubed (13146141633739840³) is 2271929867215456279501481389417074235423227904000
• The square root of 13146141633739840 is 114656624.9012233919
• The cube root of 13146141633739840 is 236011.2847336613

Scales and comparisons

• 13,146,141,633,739,840 seconds is equal to 418,006,640 years, 13 weeks, 6 days, 4 hours, 10 minutes, 40 seconds.
• To count from 1 to 13,146,141,633,739,840 would take you about one billion, two hundred fifty-four million, nineteen thousand, nine hundred twenty 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 13146141633739840 cubic inches would be around 19667.6 feet tall.

Recreational maths with 13146141633739840

• 13146141633739840 backwards is 04893733614164131
• 13146141633739840 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 13146141633739840's digits is 64
• More coming soon!