135051189931147264000

Names of 135051189931147264000

• Cardinal: 135051189931147264000 can be written as One hundred thirty-five quintillion, fifty-one quadrillion, one hundred eighty-nine trillion, nine hundred thirty-one billion, one hundred forty-seven million, two hundred sixty-four thousand.

Scientific notation

• Scientific notation: 1.35051189931147264 × 10²⁰

Factors of 135051189931147264000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 8355

Divisors of 135051189931147264000

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 256 310 320 400 496 500 512 620 640 775 800 961 992 1000 1024 1240 1280 1550 1600 1922 1984 2000 2048 2480 2560 3100 3200 3844 3875 3968 4000 4096 4805 4960 5120 6200 6400 7688 7750 7936 8000 8192 8317 9610 9920 10240 12400 12800 15376 15500 15872 16000 16384 16634 19220 19840 20480 24025 24800 25600 29791 30752 31000 31744 32000 32768 33268 38440 39680 40960 41585 48050 49600 51200 59582 61504 62000 63488 64000 65536 66536 76880 79360 81920 83170 96100 99200 102400 119164 120125 123008 124000 126976 128000 131072 133072 148955 153760 158720 163840 166340 192200 198400 204800 207925 238328 240250 246016 248000 253952 256000 257827 262144 266144 297910 307520 317440 327680 332680 384400 396800 409600 415850 476656 480500 492032 496000 507904 512000 515654 524288 532288 595820 615040 634880 655360 665360 744775 768800 793600 819200 831700 953312 961000 984064 992000 1015808 1024000 1031308 1039625 1064576 1191640 1230080 1269760 1289135 1310720 1330720 1489550 1537600 1587200 1638400 1663400 1906624 1922000 1968128 1984000 2031616 2048000 2062616 2079250 2129152 2383280 2460160 2539520 2578270 2621440 2661440 2979100 3075200 3174400 3276800 3326800 3723875 3813248 3844000 3936256 3968000 4063232 4096000 4125232 4158500 4258304 4766560 4920320 5079040 5156540 5322880 5958200 6150400 6348800 6445675 6553600 6653600 7447750 7626496 7688000 7872512 7936000 7992637 8126464 8192000 8250464 8317000 8516608 9533120 9840640 10158080 10313080 10645760 11916400 12300800 12697600 12891350 13107200 13307200 14895500 15252992 15376000 15745024 15872000 15985274 16252928 16384000 16500928 16634000 17033216 19066240 19681280 20316160 20626160 21291520 23832800 24601600 25395200 25782700 26614400 29791000 30505984 30752000 31490048 31744000 31970548 32228375 32768000 33001856 33268000 34066432 38132480 39362560 39963185 40632320 41252320 42583040 47665600 49203200 50790400 51565400 53228800 59582000 61011968 61504000 62980096 63488000 63941096 64456750 65536000 66003712 66536000 68132864 69172489 76264960 78725120 79926370 81264640 82504640 85166080 95331200 98406400 101580800 103130800 106457600 119164000 122023936 123008000 125960192 126976000 127882192 128913500 132007424 133072000 136265728 138344978 152529920 157450240 159852740 165009280 170332160 190662400 196812800 199815925 203161600 206261600 212915200 238328000 244047872 246016000 247771747 251920384 253952000 255764384 257827000 264014848 266144000 272531456 276689956 305059840 314900480 319705480 330018560 340664320 345862445 381324800 393625600 399631850 406323200 412523200 425830400 476656000 488095744 492032000 495543494 503840768 507904000 511528768 515654000 528029696 532288000 545062912 553379912 610119680 629800960 639410960 660037120 681328640 691724890 762649600 787251200 799263700 825046400 851660800 953312000 976191488 984064000 991086988 999079625 1015808000 1023057536 1031308000 1056059392 1064576000 1090125824 1106759824 1220239360 1238858735 1259601920 1278821920 1320074240 1362657280 1383449780 1525299200 1574502400 1598527400 1650092800 1703321600 1729312225 1906624000 1952382976 1968128000 1982173976 1998159250 2031616000 2046115072 2062616000 2112118784 2129152000 2144347159 2180251648 2213519648 2440478720 2477717470 2519203840 2557643840 2640148480 2725314560 2766899560 3050598400 3149004800 3197054800 3300185600 3406643200 3458624450 3813248000 3904765952 3936256000 3964347952 3996318500 4092230144 4125232000 4224237568 4258304000 4288694318 4360503296 4427039296 4880957440 4955434940 5115287680 5280296960 5450629120 5533799120 6101196800 6194293675 6298009600 6394109600 6600371200 6813286400 6917248900 7626496000 7809531904 7872512000 7928695904 7992637000 8184460288 8250464000 8448475136 8516608000 8577388636 8646561125 8854078592 9761914880 9910869880 10230575360 10560593920 10721735795 10901258240 11067598240 12202393600 12388587350 12596019200 12788219200 13200742400 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130951364608 132007424000 132949523858 135175602176 136265728000 137238218176 138344978000 141665257472 158573918080 163689205760 168969502720 171547772720 177081571840 195238297600 198217397600 204611507200 211211878400 214434715900 221351964800 244047872000 247771747000 253718268928 255764384000 261902729216 264014848000 265899047716 268043394875 272531456000 274476436352 276689956000 283330514944 317147836160 327378411520 332373809645 337939005440 343095545440 354163143680 390476595200 396434795200 409223014400 422423756800 428869431800 442703929600 488095744000 495543494000 507436537856 511528768000 523805458432 528029696000 531798095432 536086789750 545062912000 548952872704 553379912000 566661029888 634295672320 654756823040 664747619290 675878010880 686191090880 708326287360 792869590400 818446028800 844847513600 857738863600 885407859200 976191488000 991086988000 1014873075712 1023057536000 1047610916864 1056059392000 1063596190864 1072173579500 1097905745408 1106759824000 1133322059776 1268591344640 1309513646080 1329495238580 1372382181760 1416652574720 1585739180800 1636892057600 1661869048225 1689695027200 1715477727200 1770815718400 1952382976000 1982173976000 2029746151424 2046115072000 2060717619799 2095221833728 2112118784000 2127192381728 2144347159000 2195811490816 2213519648000 2266644119552 2537182689280 2619027292160 2658990477160 2744764363520 2833305149440 3171478361600 3273784115200 3323738096450 3379390054400 3430955454400 3541631436800 3964347952000 4059492302848 4092230144000 4121435239598 4190443667456 4224237568000 4254384763456 4288694318000 4391622981632 4427039296000 4533288239104 5074365378560 5238054584320 5317980954320 5489528727040 5666610298880 6342956723200 6547568230400 6647476192900 6861910908800 7083262873600 7928695904000 8118984605696 8184460288000 8242870479196 8309345241125 8448475136000 8508769526912 8577388636000 8783245963264 8854078592000 9066576478208 10148730757120 10303588098995 10476109168640 10635961908640 10979057454080 11333220597760 12685913446400 13095136460800 13294952385800 13723821817600 14166525747200 15857391808000 16237969211392 16368920576000 16485740958392 16618690482250 16896950272000 17017539053824 17154777272000 17566491926528 17708157184000 18133152956416 20297461514240 20607176197990 20952218337280 21271923817280 21958114908160 22666441195520 25371826892800 26190272921600 26589904771600 27447643635200 28333051494400 31714783616000 32475938422784 32737841152000 32971481916784 33237380964500 34035078107648 34309554544000 35132983853056 35416314368000 36266305912832 40594923028480 41214352395980 42543847634560 43916229816320 45332882391040 50743653785600 51517940494975 52380545843200 53179809543200 54895287270400 56666102988800 63429567232000 64951876845568 65475682304000 65942963833568 66474761929000 68070156215296 68619109088000 70265967706112 70832628736000 81189846056960 82428704791960 85087695269120 87832459632640 90665764782080 101487307571200 103035880989950 104761091686400 106359619086400 109790574540800 113332205977600 126859134464000 129903753691136 130951364608000 131885927667136 132949523858000 136140312430592 137238218176000 140531935412224 141665257472000 162379692113920 164857409583920 170175390538240 175664919265280 181331529564160 202974615142400 206071761979900 212719238172800 219581149081600 226664411955200 253718268928000 257589702474875 261902729216000 263771855334272 265899047716000 272280624861184 274476436352000 281063870824448 283330514944000 324759384227840 329714819167840 340350781076480 351329838530560 405949230284800 412143523959800 425438476345600 439162298163200 453328823910400 507436537856000 515179404949750 523805458432000 527543710668544 531798095432000 544561249722368 548952872704000 562127741648896 566661029888000 649518768455680 659429638335680 680701562152960 702659677061120 811898460569600 824287047919600 850876952691200 878324596326400 906657647820800 1014873075712000 1030358809899500 1055087421337088 1063596190864000 1089122499444736 1097905745408000 1124255483297792 1133322059776000 1318859276671360 1361403124305920 1405319354122240 1623796921139200 1648574095839200 1701753905382400 1756649192652800 2029746151424000 2060717619799000 2110174842674176 2127192381728000 2178244998889472 2195811490816000 2266644119552000 2637718553342720 2722806248611840 2810638708244480 3247593842278400 3297148191678400 3403507810764800 3513298385305600 4059492302848000 4121435239598000 4220349685348352 4254384763456000 4356489997778944 4391622981632000 4533288239104000 5275437106685440 5445612497223680 5621277416488960 6594296383356800 6807015621529600 7026596770611200 8118984605696000 8242870479196000 8440699370696704 8508769526912000 8712979995557888 8783245963264000 10550874213370880 10891224994447360 13188592766713600 13614031243059200 14053193541222400 16237969211392000 16485740958392000 16881398741393408 17017539053824000 17425959991115776 17566491926528000 21101748426741760 21782449988894720 26377185533427200 27228062486118400 28106387082444800 32971481916784000 33762797482786816 34035078107648000 34851919982231552 35132983853056000 42203496853483520 43564899977789440 52754371066854400 54456124972236800 65942963833568000 67525594965573632 68070156215296000 70265967706112000 84406993706967040 87129799955578880 105508742133708800 108912249944473600 131885927667136000 135051189931147264 136140312430592000 140531935412224000 168813987413934080 174259599911157760 211017484267417600 217824499888947200 263771855334272000 270102379862294528 272280624861184000 337627974827868160 422034968534835200 435648999777894400 527543710668544000 540204759724589056 544561249722368000 675255949655736320 844069937069670400 871297999555788800 1055087421337088000 1080409519449178112 1089122499444736000 1350511899311472640 1688139874139340800 2110174842674176000 2178244998889472000 2701023798622945280 3376279748278681600 4220349685348352000 4356489997778944000 5402047597245890560 6752559496557363200 8440699370696704000 13505118993114726400 16881398741393408000 27010237986229452800 33762797482786816000 67525594965573632000 135051189931147264000
• Sum of all divisors σ(n): 348365205633988857600
• Sum of proper divisors (its aliquot sum) s(n): 213314015702841593600
• 135051189931147264000 is an abundant number, because the sum of its proper divisors (213314015702841593600) is greater than itself. Its abundance is 78262825771694329600

Bases of 135051189931147264000

• Binary: 1110101001000110110001101011011010111100011110110000000000000000000₂
• Hexadecimal: 0x7523635B5E3D80000
• Base-36: SI203CVF8EN0G

Squares and roots of 135051189931147264000

• 135051189931147264000 squared (135051189931147264000²) is 18238823901818812141629019254685696000000
• 135051189931147264000 cubed (135051189931147264000³) is 2463174870885280817051026996657038848096449010335744000000000
• The square root of 135051189931147264000 is 11621152693.7368508187
• The cube root of 135051189931147264000 is 5130576.1547672041

Scales and comparisons

• 135,051,189,931,147,264,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
• To count from 1 to 135,051,189,931,147,264,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 135051189931147264000 cubic inches would be around 427548 feet tall.

Recreational maths with 135051189931147264000

• 135051189931147264000 backwards is 000462741139981150531
• The number of decimal digits it has is: 21
• The sum of 135051189931147264000's digits is 70
• More coming soon!