135217536000

Names of 135217536000

• Cardinal: 135217536000 can be written as One hundred thirty-five billion, two hundred seventeen million, five hundred thirty-six thousand.

Scientific notation

• Scientific notation: 1.35217536 × 10¹¹

Factors of 135217536000

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 385

Divisors of 135217536000

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 37 40 48 50 60 62 64 74 75 80 93 96 100 111 120 124 125 128 148 150 155 160 185 186 192 200 222 240 248 250 256 296 300 307 310 320 370 372 375 384 400 444 465 480 496 500 512 555 592 600 614 620 640 740 744 750 768 775 800 888 921 925 930 960 992 1000 1024 1110 1147 1184 1200 1228 1240 1280 1480 1488 1500 1535 1536 1550 1600 1776 1842 1850 1860 1920 1984 2000 2220 2294 2325 2368 2400 2456 2480 2560 2775 2960 2976 3000 3070 3072 3100 3200 3441 3552 3684 3700 3720 3840 3875 3968 4000 4440 4588 4605 4625 4650 4736 4800 4912 4960 5120 5550 5735 5920 5952 6000 6140 6200 6400 6882 7104 7368 7400 7440 7675 7680 7750 7936 8000 8880 9176 9210 9250 9300 9472 9517 9600 9824 9920 11100 11359 11470 11625 11840 11904 12000 12280 12400 12800 13764 13875 14208 14736 14800 14880 15350 15360 15500 15872 16000 17205 17760 18352 18420 18500 18600 18944 19034 19200 19648 19840 22200 22718 22940 23025 23250 23680 23808 24000 24560 24800 25600 27528 27750 28416 28551 28675 29472 29600 29760 30700 31000 31744 32000 34077 34410 35520 36704 36840 37000 37200 37888 38068 38375 38400 39296 39680 44400 45436 45880 46050 46500 47360 47585 47616 48000 49120 49600 55056 55500 56795 56832 57102 57350 58944 59200 59520 61400 62000 64000 68154 68820 71040 73408 73680 74000 74400 76136 76750 76800 78592 79360 86025 88800 90872 91760 92100 93000 94720 95170 95232 96000 98240 99200 110112 111000 113590 113664 114204 114700 115125 117888 118400 119040 122800 124000 128000 136308 137640 142080 142755 143375 146816 147360 148000 148800 152272 153500 157184 158720 170385 172050 177600 181744 183520 184200 186000 189440 190340 192000 196480 198400 220224 222000 227180 228408 229400 230250 235776 236800 237925 238080 245600 248000 272616 275280 283975 284160 285510 286750 293632 294720 296000 297600 304544 307000 314368 340770 344100 352129 355200 363488 367040 368400 372000 380680 384000 392960 396800 430125 440448 444000 454360 456816 458800 460500 471552 473600 475850 476160 491200 496000 545232 550560 567950 568320 571020 573500 587264 589440 592000 595200 609088 614000 681540 688200 704258 710400 713775 726976 734080 736800 744000 761360 785920 793600 851925 860250 880896 888000 908720 913632 917600 921000 943104 947200 951700 982400 992000 1056387 1090464 1101120 1135900 1142040 1147000 1174528 1178880 1184000 1189625 1190400 1218176 1228000 1363080 1376400 1408516 1419875 1420800 1427550 1453952 1468160 1473600 1488000 1522720 1571840 1703850 1720500 1760645 1761792 1776000 1817440 1827264 1835200 1842000 1903400 1964800 1984000 2112774 2180928 2202240 2271800 2284080 2294000 2357760 2368000 2379250 2380800 2436352 2456000 2726160 2752800 2817032 2839750 2841600 2855100 2907904 2936320 2947200 2976000 3045440 3407700 3441000 3521290 3523584 3552000 3568875 3634880 3654528 3670400 3684000 3806800 3929600 3968000 4225548 4259625 4361856 4404480 4543600 4568160 4588000 4715520 4736000 4758500 4872704 4912000 5281935 5452320 5505600 5634064 5679500 5710200 5815808 5872640 5894400 5952000 6090880 6815400 6882000 7042580 7104000 7137750 7269760 7309056 7340800 7368000 7613600 7859200 8451096 8519250 8723712 8803225 8808960 9087200 9136320 9176000 9517000 9745408 9824000 10563870 10904640 11011200 11268128 11359000 11420400 11631616 11788800 11904000 12181760 13630800 13764000 14085160 14208000 14275500 14539520 14618112 14681600 14736000 15227200 16902192 17038500 17447424 17606450 17617920 18174400 18272640 18352000 19034000 19648000 21127740 21809280 22022400 22536256 22718000 22840800 23577600 24363520 26409675 27261600 27528000 28170320 28551000 29079040 29236224 29363200 29472000 30454400 33804384 34077000 34894848 35212900 36348800 36545280 36704000 38068000 39296000 42255480 43618560 44016125 44044800 45072512 45436000 45681600 48727040 52819350 54523200 55056000 56340640 57102000 58158080 58944000 60908800 67608768 68154000 70425800 72697600 73090560 73408000 76136000 84510960 87237120 88032250 88089600 90145024 90872000 91363200 105638700 109046400 110112000 112681280 114204000 117888000 121817600 132048375 135217536 136308000 140851600 145395200 146181120 146816000 152272000 169021920 174474240 176064500 180290048 181744000 182726400 211277400 218092800 220224000 225362560 228408000 243635200 264096750 270435072 272616000 281703200 290790400 304544000 338043840 352129000 360580096 363488000 365452800 422554800 436185600 440448000 450725120 456816000 528193500 540870144 545232000 563406400 609088000 676087680 704258000 726976000 730905600 845109600 872371200 901450240 913632000 1056387000 1081740288 1090464000 1126812800 1218176000 1352175360 1408516000 1453952000 1690219200 1802900480 1827264000 2112774000 2180928000 2253625600 2704350720 2817032000 3380438400 3654528000 4225548000 4361856000 4507251200 5408701440 5634064000 6760876800 8451096000 9014502400 11268128000 13521753600 16902192000 22536256000 27043507200 33804384000 45072512000 67608768000 135217536000
• Sum of all divisors σ(n): 478395101184
• Sum of proper divisors (its aliquot sum) s(n): 343177565184
• 135217536000 is an abundant number, because the sum of its proper divisors (343177565184) is greater than itself. Its abundance is 207960029184

Bases of 135217536000

• Binary: 1111101111011100101111101110000000000₂
• Hexadecimal: 0x1F7B97DC00
• Base-36: 1Q4912IO

Squares and roots of 135217536000

• 135217536000 squared (135217536000²) is 18283782041911296000000
• 135217536000 cubed (135217536000³) is 2472287956468294175686656000000000
• The square root of 135217536000 is 367719.3712602043
• The cube root of 135217536000 is 5132.6817785885

Scales and comparisons

• 135,217,536,000 seconds is equal to 4,299 years, 25 weeks, 6 days, 18 hours, 40 minutes.
• To count from 1 to 135,217,536,000 would take you about eight thousand, five hundred ninety-eight 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 135217536000 cubic inches would be around 427.7 feet tall.

Recreational maths with 135217536000

• 135217536000 backwards is 000635712531
• The number of decimal digits it has is: 12
• The sum of 135217536000's digits is 33
• More coming soon!