135986940928800

Names of 135986940928800

• Cardinal: 135986940928800 can be written as One hundred thirty-five trillion, nine hundred eighty-six billion, nine hundred forty million, nine hundred twenty-eight thousand, eight hundred.

Scientific notation

• Scientific notation: 1.359869409288 × 10¹⁴

Factors of 135986940928800

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 191

Divisors of 135986940928800

• Number of divisors d(n): 1620
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 30 32 36 39 40 41 45 48 50 52 60 65 72 75 78 80 82 90 96 100 104 117 120 123 127 130 144 150 156 160 164 169 180 195 200 205 208 225 234 240 246 254 260 288 300 312 325 328 338 360 369 381 390 400 410 416 450 468 480 492 507 508 520 533 585 600 615 624 635 650 656 676 720 738 762 780 800 820 845 900 936 975 984 1014 1016 1025 1040 1066 1143 1170 1200 1230 1248 1270 1300 1312 1352 1440 1476 1521 1524 1560 1599 1640 1651 1690 1800 1845 1872 1905 1950 1968 2028 2032 2050 2080 2132 2197 2286 2340 2400 2460 2535 2540 2600 2665 2704 2925 2952 3042 3048 3075 3120 3175 3198 3280 3302 3380 3600 3690 3744 3810 3900 3936 4056 4064 4100 4225 4264 4394 4572 4680 4797 4920 4953 5070 5080 5200 5207 5330 5408 5715 5850 5904 6084 6096 6150 6240 6350 6396 6560 6591 6604 6760 6929 7200 7380 7605 7620 7800 7995 8112 8200 8255 8450 8528 8788 9144 9225 9360 9525 9594 9840 9906 10140 10160 10400 10414 10660 10985 11430 11700 11808 12168 12192 12300 12675 12700 12792 13182 13208 13325 13520 13858 14760 14859 15210 15240 15600 15621 15990 16129 16224 16400 16510 16900 17056 17576 18288 18450 18720 19050 19188 19680 19773 19812 20280 20320 20787 20828 21320 21463 21970 22860 23400 23985 24336 24600 24765 25350 25400 25584 26035 26364 26416 26650 27040 27716 28561 28575 29520 29718 30420 30480 31200 31242 31980 32258 32800 32955 33020 33800 34645 35152 36576 36900 38025 38100 38376 39546 39624 39975 40560 41275 41574 41656 42640 42926 43940 45720 46800 46863 47970 48387 48672 49200 49530 50700 50800 51168 52070 52728 52832 53300 54925 55432 57122 57150 59040 59436 60840 60960 62361 62484 63960 64389 64516 65910 66040 67600 67691 69290 70304 73800 74295 76050 76200 76752 78105 79092 79248 79950 80645 81120 82550 83148 83312 85280 85683 85852 87880 90077 91440 93600 93726 95940 96774 98400 98865 99060 101400 101600 103935 104140 105456 106600 107315 109850 110864 114244 114300 118872 119925 121680 123825 124722 124968 127920 128778 129032 130175 131820 132080 135200 135382 138580 142805 145161 147600 148590 152100 152400 153504 156210 158184 158496 159900 161290 164775 165100 166296 166624 171366 171704 173225 175760 180154 182880 187452 191880 193167 193548 197730 198120 202800 203073 207870 208280 209677 210912 213200 214630 219700 221728 228488 228600 234315 237744 239850 241935 243360 247650 249444 249936 255840 257049 257556 258064 260350 263640 264160 270231 270764 277160 279019 285610 290322 295200 297180 304200 304800 311805 312420 316368 319800 321945 322580 329550 330200 332592 338455 342732 343408 346450 351520 360308 371475 374904 383760 386334 387096 390525 395460 396240 403225 405600 406146 415740 416560 419354 426400 428415 429260 439400 450385 456976 457200 468630 475488 479700 483870 494325 495300 498888 499872 514098 515112 516128 519675 520700 527280 536575 540462 541528 554320 558038 571220 580644 594360 608400 609219 623610 624840 629031 632736 639600 643890 645160 659100 660400 661289 665184 676910 685464 686816 692900 714025 720616 725805 742950 749808 767520 772668 774192 781050 790920 792480 806450 810693 812292 831480 833120 837057 838708 856830 858520 878800 879983 900770 913952 914400 937260 959400 965835 967740 988650 990600 997776 1015365 1028196 1030224 1039350 1041400 1048385 1054560 1073150 1080924 1083056 1108640 1116076 1142440 1161288 1171001 1171575 1188720 1209675 1216800 1218438 1247220 1249680 1258062 1279200 1285245 1287780 1290320 1318200 1320800 1322578 1351155 1353820 1370928 1385800 1395095 1428050 1441232 1451610 1485900 1499616 1545336 1548384 1559025 1562100 1581840 1609725 1612900 1621386 1624584 1662960 1674114 1677416 1692275 1713660 1717040 1757600 1759966 1801540 1874520 1887093 1918800 1931670 1935480 1977300 1981200 1983867 1995552 2030730 2056392 2060448 2078700 2082800 2096770 2142075 2146300 2161848 2166112 2232152 2251925 2284880 2322576 2342002 2343150 2377440 2419350 2436876 2494440 2499360 2511171 2516124 2570490 2575560 2580640 2636400 2639949 2645156 2702310 2707640 2725801 2741856 2771600 2790190 2856100 2882464 2903220 2971800 3046095 3090672 3118050 3124200 3145155 3163680 3219450 3225800 3242772 3249168 3306445 3325920 3348228 3354832 3384550 3427320 3434080 3513003 3519932 3603080 3627247 3629025 3749040 3774186 3837600 3863340 3870960 3954600 3962400 3967734 4053465 4061460 4112784 4157400 4165600 4185285 4193540 4284150 4292600 4323696 4399915 4464304 4503850 4569760 4645152 4684004 4686300 4829175 4838700 4873752 4988880 5022342 5032248 5076825 5140980 5151120 5241925 5272800 5279898 5290312 5404620 5415280 5451602 5543200 5580380 5712200 5806440 5855005 5943600 5951601 6092190 6181344 6236100 6248400 6290310 6426225 6438900 6451600 6485544 6498336 6612890 6696456 6709664 6755775 6769100 6854640 6975475 7026006 7039864 7206160 7254494 7258050 7498080 7548372 7726680 7741920 7909200 7919847 7935468 8106930 8122920 8177403 8225568 8314800 8370570 8387080 8568300 8585200 8596757 8647392 8799830 8928608 9007700 9368008 9372600 9435465 9658350 9677400 9747504 9919335 9977760 10044684 10064496 10153650 10281960 10302240 10483850 10539009 10559796 10580624 10809240 10830560 10881741 10903204 11160760 11424400 11439779 11612880 11710010 11887200 11903202 12184380 12472200 12496800 12555855 12580620 12852450 12877800 12903200 12971088 13199745 13225780 13392912 13511550 13538200 13629005 13709280 13950950 14052012 14079728 14412320 14508988 14516100 15096744 15230475 15453360 15725775 15818400 15839694 15870936 16213860 16245840 16354806 16532225 16629600 16741140 16774160 17136600 17170400 17193514 17565015 17599660 18015400 18136235 18736016 18745200 18870930 19316700 19354800 19495008 19838670 20089368 20128992 20267325 20307300 20563920 20926425 20967700 21078018 21119592 21161248 21618480 21763482 21806408 21999575 22321520 22848800 22879558 23225760 23420020 23806404 24368760 24532209 24944400 25111710 25161240 25704900 25755600 25790271 25942176 26399490 26451560 26785824 27023100 27076400 27258010 27901900 28104024 28159456 29017976 29032200 29275025 29758005 30193488 30460950 30906720 31451550 31679388 31741872 32427720 32491680 32645223 32709612 33064450 33482280 33548320 34273200 34319337 34387028 35130030 35199320 35435413 36030800 36272470 37472032 37490400 37741860 38633400 38709600 39599235 39677340 40178736 40534650 40614600 40887015 41127840 41852850 41935400 42156036 42239184 42983785 43236960 43526964 43612816 43999150 44643040 45759116 46840040 47177325 47612808 48737520 49064418 49596675 49888800 50223420 50322480 51409800 51511200 51580542 52695045 52798980 52903120 54046200 54152800 54408705 54516020 55803800 56208048 57198895 58035952 58064400 58550050 59516010 60386976 60921900 62779275 62903100 63358776 63483744 64855440 65290446 65419224 65998725 66128900 66964560 68145025 68546400 68638674 68774056 70260060 70398640 70870826 72061600 72544940 75483720 77266800 77370813 79198470 79354680 80357472 81069300 81229200 81774030 83705700 83870800 84312072 84478368 85967570 87053928 87225632 87825075 87998300 90681175 91518232 93680080 94354650 95225616 97475040 98128836 99193350 100446840 100644960 102819600 102958011 103161084 105390090 105597960 105806240 106306239 108092400 108817410 109032040 111607600 111757841 112416096 114397790 116071904 116128800 117100100 119032020 121843800 122661045 125558550 125806200 126717552 128951355 129710880 130580892 130838448 131997450 132257800 133929120 136290050 137277348 137548112 140520120 140797280 141741652 145089880 148717127 148790025 150967440 154533600 154741626 158396940 158709360 162138600 162458400 163226115 163548060 167411400 167741600 168624144 171596685 171935140 174107856 175650150 175996600 177177065 181362350 183036464 187360160 188709300 190451232 196257672 197996175 198386700 200893680 204435075 205639200 205916022 206322168 210780180 211195920 212612478 214918925 216184800 217634820 218064080 223215200 223515682 228795580 234200200 238064040 243687600 245322090 251117100 251612400 253435104 257902710 261161784 261676896 263475225 263994900 264515600 272043525 272580100 274554696 275096224 281040240 283483304 285994475 290179760 297434254 297580050 301934880 309483252 316793880 317418720 318918717 324277200 326452230 327096120 334822800 335273523 337248288 343193370 343870280 348215712 351300300 351993200 354354130 362724700 366072928 377418600 386854065 392515344 395992350 396773400 401787360 408870150 411832044 412644336 421560360 422391840 425224956 429837850 435269640 436128160 446151381 447031364 457591160 460660369 468400400 476128080 487375200 490644180 502234200 503224800 514790055 515805420 522323568 526950450 527989800 529031200 531531195 544087050 545160200 549109392 558789205 562080480 566966608 571988950 580359520 594868508 595160100 613305225 618966504 633587760 637837434 644756775 648554400 652904460 654192240 669645600 670547046 686386740 687740560 702600600 703986400 708708260 725449400 743585635 754837200 773708130 785030688 791984700 793546800 816130575 817740300 823664088 825288672 843120720 850449912 857983425 859675700 870539280 885885325 892302762 894062728 915182320 921320738 936800800 952256160 981288360 1004468400 1005820569 1029580110 1031610840 1044647136 1053900900 1055979600 1063062390 1088174100 1090320400 1098218784 1117578410 1133933216 1143977900 1189737016 1190320200 1226610450 1237933008 1267175520 1275674868 1289513550 1305808920 1308384480 1338454143 1341094092 1372773480 1375481120 1381981107 1405201200 1417416520 1450898800 1452851933 1487171270 1509674400 1547416260 1583969400 1587093600 1594593585 1632261150 1635480600 1647328176 1676367615 1686241440 1700899824 1715966850 1719351400 1741078560 1771770650 1784605524 1788125456 1830364640 1842641476 1934270325 1962576720 2008936800 2011641138 2059160220 2063221680 2107801800 2111959200 2126124780 2176348200 2180640800 2230756905 2235156820 2287955800 2303301845 2379474032 2380640400 2453220900 2475866016 2551349736 2573950275 2579027100 2611617840 2657655975 2676908286 2682188184 2745546960 2763962214 2793946025 2810402400 2834833040 2901797600 2905703866 2974342540 3094832520 3167938800 3189187170 3264522300 3270961200 3294656352 3352735230 3401799648 3431933700 3438702800 3543541300 3569211048 3576250912 3685282952 3717928175 3868540650 3925153440 4023282276 4118320440 4126443360 4145943321 4215603600 4252249560 4352696400 4358555799 4461513810 4470313640 4575911600 4606603690 4758948064 4761280800 4906441800 5029102845 5102699472 5147900550 5158054200 5223235680 5315311950 5353816572 5364376368 5491093920 5527924428 5587892050 5669666080 5811407732 5948685080 6189665040 6335877600 6378374340 6529044600 6541922400 6692270715 6705470460 6863867400 6877405600 6909905535 7087082600 7138422096 7264259665 7370565904 7435856350 7737081300 7972967925 8046564552 8236640880 8291886642 8381838075 8431207200 8504499120 8705392800 8717111598 8923027620 8940627280 9151823200 9213207380 9812883600 10058205690 10205398944 10295801100 10316108400 10630623900 10707633144 10728752736 11055848856 11153784525 11175784100 11516509225 11622815464 11897370160 12379330080 12756748680 13058089200 13075667397 13384541430 13410940920 13727734800 13819811070 14174165200 14276844192 14528519330 14741131808 14871712700 15474162600 15945935850 16093129104 16473281760 16583773284 16763676150 17008998240 17434223196 17846055240 17881254560 18426414760 18887075129 19625767200 20116411380 20591602200 20632216800 20729716605 21261247800 21415266288 21792778995 22111697712 22307569050 22351568200 23033018450 23245630928 23794740320 25145514225 25513497360 26116178400 26151334794 26769082860 26821881840 27455469600 27639622140 28348330400 29057038660 29743425400 30948325200 31891871700 32186258208 33167546568 33461353575 33527352300 34549527675 34868446392 35692110480 36321298325 36852829520 37774150258 40232822760 41183204400 41459433210 42522495600 42830532576 43585557990 44223395424 44615138100 44703136400 46066036900 46491261856 50291028450 51026994720 52302669588 53538165720 53643763680 55279244280 56661225387 58114077320 59486850800 61896650400 63783743400 65378336985 66335093136 66922707150 67054704600 69099055350 69736892784 71384220960 72642596650 73705659040 75548300516 80465645520 82366408800 82918866420 85044991200 87171115980 89230276200 89406272800 92132073800 94435375645 100582056900 103648583025 104605339176 107076331440 108963894975 110558488560 113322450774 116228154640 118973701600 127567486800 130756673970 132670186272 133845414300 134109409200 138198110700 139473785568 145285193300 151096601032 160931291040 165837732840 169983676161 174342231960 178460552400 184264147600 188870751290 201164113800 207297166050 209210678352 214152662880 217927789950 221116977120 226644901548 232456309280 255134973600 261513347940 267690828600 268218818400 276396221400 283306126935 290570386600 302193202064 326891684925 331675465680 339967352322 348684463920 356921104800 368528295200 377741502580 402328227600 414594332100 418421356704 435855579900 453289803096 472176878225 523026695880 535381657200 552792442800 566612253870 581140773200 604386404128 653783369850 663350931360 679934704644 697368927840 755483005160 804656455200 829188664200 849918380805 871711159800 906579606192 944353756450 1046053391760 1070763314400 1105584885600 1133224507740 1162281546400 1307566739700 1359869409288 1416530634675 1510966010320 1658377328400 1699836761610 1743422319600 1813159212384 1888707512900 2092106783520 2266449015480 2615133479400 2719738818576 2833061269350 3021932020640 3316754656800 3399673523220 3486844639200 3777415025800 4249591904025 4532898030960 5230266958800 5439477637152 5666122538700 6799347046440 7554830051600 8499183808050 9065796061920 10460533917600 11332245077400 13598694092880 15109660103200 16998367616100 22664490154800 27197388185760 33996735232200 45328980309600 67993470464400 135986940928800
• Sum of all divisors σ(n): 536376370890906
• Sum of proper divisors (its aliquot sum) s(n): 400389429962106
• 135986940928800 is an abundant number, because the sum of its proper divisors (400389429962106) is greater than itself. Its abundance is 264402489033306

Bases of 135986940928800

• Binary: 11110111010110111101101010011101110001100100000₂
• Hexadecimal: 0x7BADED4EE320
• Base-36: 1C7BJDJT40

Squares and roots of 135986940928800

• 135986940928800 squared (135986940928800²) is 18492448103172940606669440000
• 135986940928800 cubed (135986940928800³) is 2514731447835078282129747972588175872000000
• The square root of 135986940928800 is 11661343.8731906025
• The cube root of 135986940928800 is 51423.9857531553

Scales and comparisons

• 135,986,940,928,800 seconds is equal to 4,323,964 years, 4 weeks, 3 days, 10 hours.
• To count from 1 to 135,986,940,928,800 would take you about ten million, eight hundred nine thousand, nine hundred ten 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 135986940928800 cubic inches would be around 4285.3 feet tall.

Recreational maths with 135986940928800

• 135986940928800 backwards is 008829049689531
• 135986940928800 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135986940928800's digits is 72
• More coming soon!