135048346791680

Names of 135048346791680

• Cardinal: 135048346791680 can be written as One hundred thirty-five trillion, forty-eight billion, three hundred forty-six million, seven hundred ninety-one thousand, six hundred eighty.

Scientific notation

• Scientific notation: 1.3504834679168 × 10¹⁴

Factors of 135048346791680

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1881

Divisors of 135048346791680

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 67 70 80 112 128 134 140 160 224 256 268 280 320 335 401 448 469 536 560 640 670 802 896 938 1072 1120 1280 1340 1399 1604 1792 1876 2005 2144 2240 2345 2680 2798 2807 3208 3752 4010 4288 4480 4690 5360 5596 5614 6416 6995 7504 8020 8576 8960 9380 9793 10720 11192 11228 12832 13990 14035 15008 16040 17152 18760 19586 21440 22384 22456 25664 26867 27980 28070 30016 32080 37520 39172 42880 44768 44912 48965 51328 53734 55960 56140 60032 64160 75040 78344 85760 89536 89824 93733 97930 102656 107468 111920 112280 120064 128320 134335 150080 156688 160801 179072 179648 187466 188069 195860 214936 223840 224560 256640 268670 300160 313376 321602 358144 359296 374932 376138 391720 429872 447680 449120 468665 513280 537340 560999 600320 626752 643204 656131 718592 749864 752276 783440 804005 859744 895360 898240 937330 940345 1074680 1121998 1125607 1253504 1286408 1312262 1499728 1504552 1566880 1608010 1719488 1790720 1796480 1874660 1880690 2149360 2243996 2251214 2507008 2572816 2624524 2804995 2999456 3009104 3133760 3216020 3280655 3438976 3592960 3749320 3761380 3926993 4298720 4487992 4502428 5145632 5249048 5609990 5628035 5998912 6018208 6267520 6432040 6561310 6877952 7498640 7522760 7853986 8597440 8975984 9004856 10291264 10498096 10773667 11219980 11256070 11997824 12036416 12535040 12864080 13122620 14997280 15045520 15707972 17194880 17951968 18009712 19634965 20582528 20996192 21547334 22439960 22512140 23995648 24072832 25728160 26245240 29994560 30091040 31415944 34389760 35903936 36019424 37586933 39269930 41165056 41992384 43094668 44879920 45024280 48145664 51456320 52490480 53868335 59989120 60182080 62831888 71807872 72038848 75173866 75415669 78539860 83984768 86189336 89759840 90048560 102912640 104980960 107736670 119978240 120364160 125663776 143615744 144077696 150347732 150831338 157079720 167969536 172378672 179519680 180097120 187934665 205825280 209961920 215473340 224960599 240728320 251327552 263108531 288155392 300695464 301662676 314159440 344757344 359039360 360194240 375869330 377078345 419923840 430946680 449921198 502655104 526217062 601390928 603325352 628318880 689514688 718078720 720388480 751738660 754156690 839847680 861893360 899842396 1005310208 1052434124 1124802995 1202781856 1206650704 1256637760 1315542655 1379029376 1440776960 1503477320 1508313380 1574724193 1723786720 1799684792 2104868248 2249605990 2405563712 2413301408 2513275520 2631085310 2758058752 3006954640 3016626760 3149448386 3447573440 3599369584 4209736496 4499211980 4811127424 4826602816 5026551040 5262170620 6013909280 6033253520 6298896772 6895146880 7198739168 7873620965 8419472992 8998423960 9622254848 9653205632 10524341240 12027818560 12066507040 12597793544 13790293760 14397478336 15072360133 15747241930 16838945984 17996847920 19306411264 21048682480 24055637120 24133014080 25195587088 28794956672 30144720266 31494483860 33677891968 35993695840 42097364960 48111274240 48266028160 50391174176 57589913344 60289440532 62988967720 67355783936 71987391680 75361800665 84194729920 96532056320 100782348352 105506520931 120578881064 125977935440 143974783360 150723601330 168389459840 201564696704 211013041862 241157762128 251955870880 287949566720 301447202660 336778919680 403129393408 422026083724 482315524256 503911741760 527532604655 602894405320 844052167448 964631048512 1007823483520 1055065209310 1205788810640 1688104334896 1929262097024 2015646967040 2110130418620 2411577621280 3376208669792 3858524194048 4220260837240 4823155242560 6752417339584 8440521674480 9646310485120 13504834679168 16881043348960 19292620970240 27009669358336 33762086697920 67524173395840 135048346791680
• Sum of all divisors σ(n): 376419579916800
• Sum of proper divisors (its aliquot sum) s(n): 241371233125120
• 135048346791680 is an abundant number, because the sum of its proper divisors (241371233125120) is greater than itself. Its abundance is 106322886333440

Bases of 135048346791680

• Binary: 11110101101001101100100101111001110111100000000₂
• Hexadecimal: 0x7AD364BCEF00
• Base-36: 1BVCCQU1VK

Squares and roots of 135048346791680

• 135048346791680 squared (135048346791680²) is 18238055971165865749317222400
• 135048346791680 cubed (135048346791680³) is 2463019307600078012355934110853609029632000
• The square root of 135048346791680 is 11621030.3670406093
• The cube root of 135048346791680 is 51305.4015102195

Scales and comparisons

• 135,048,346,791,680 seconds is equal to 4,294,119 years, 36 weeks, 1 day, 8 hours, 21 minutes, 20 seconds.
• To count from 1 to 135,048,346,791,680 would take you about ten million, seven hundred thirty-five thousand, two hundred ninety-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 135048346791680 cubic inches would be around 4275.5 feet tall.

Recreational maths with 135048346791680

• 135048346791680 backwards is 086197643840531
• The number of decimal digits it has is: 15
• The sum of 135048346791680's digits is 65
• More coming soon!