135531648000

Names of 135531648000

• Cardinal: 135531648000 can be written as One hundred thirty-five billion, five hundred thirty-one million, six hundred forty-eight thousand.

Scientific notation

• Scientific notation: 1.35531648 × 10¹¹

Factors of 135531648000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 17

Divisors of 135531648000

• Number of divisors d(n): 924
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 60 63 64 70 72 75 80 84 90 96 98 100 105 112 120 125 126 128 140 144 147 150 160 168 175 180 192 196 200 210 224 225 240 245 250 252 256 280 288 294 300 315 320 336 343 350 360 375 384 392 400 420 441 448 450 480 490 500 504 512 525 560 576 588 600 630 640 672 686 700 720 735 750 768 784 800 840 875 882 896 900 960 980 1000 1008 1024 1029 1050 1120 1125 1152 1176 1200 1225 1260 1280 1344 1372 1400 1440 1470 1500 1536 1568 1575 1600 1680 1715 1750 1764 1792 1800 1920 1960 2000 2016 2058 2100 2205 2240 2250 2304 2352 2400 2401 2450 2520 2560 2625 2688 2744 2800 2880 2940 3000 3072 3087 3136 3150 3200 3360 3430 3500 3528 3584 3600 3675 3840 3920 4000 4032 4116 4200 4410 4480 4500 4608 4704 4800 4802 4900 5040 5120 5145 5250 5376 5488 5600 5760 5880 6000 6125 6174 6272 6300 6400 6720 6860 7000 7056 7168 7200 7203 7350 7680 7840 7875 8000 8064 8232 8400 8575 8820 8960 9000 9216 9408 9600 9604 9800 10080 10290 10500 10752 10976 11025 11200 11520 11760 12000 12005 12250 12348 12544 12600 12800 13440 13720 14000 14112 14400 14406 14700 15360 15435 15680 15750 16000 16128 16464 16800 16807 17150 17640 17920 18000 18375 18816 19200 19208 19600 20160 20580 21000 21504 21609 21952 22050 22400 23040 23520 24000 24010 24500 24696 25088 25200 25600 25725 26880 27440 28000 28224 28800 28812 29400 30870 31360 31500 32000 32256 32928 33600 33614 34300 35280 35840 36000 36015 36750 37632 38400 38416 39200 40320 41160 42000 42875 43218 43904 44100 44800 46080 47040 48000 48020 49000 49392 50176 50400 50421 51450 53760 54880 55125 56000 56448 57600 57624 58800 60025 61740 62720 63000 64000 64512 65856 67200 67228 68600 70560 72000 72030 73500 75264 76800 76832 77175 78400 80640 82320 84000 84035 85750 86436 87808 88200 89600 94080 96000 96040 98000 98784 100800 100842 102900 107520 108045 109760 110250 112000 112896 115200 115248 117600 117649 120050 123480 125440 126000 128000 128625 131712 134400 134456 137200 141120 144000 144060 147000 150528 151263 153664 154350 156800 161280 164640 168000 168070 171500 172872 175616 176400 179200 180075 188160 192000 192080 196000 197568 201600 201684 205800 216090 219520 220500 224000 225792 230400 230496 235200 235298 240100 246960 250880 252000 252105 257250 263424 268800 268912 274400 282240 288000 288120 294000 300125 302526 307328 308700 313600 322560 329280 336000 336140 343000 345744 351232 352800 352947 360150 376320 384000 384160 385875 392000 395136 403200 403368 411600 420175 432180 439040 441000 448000 451584 460992 470400 470596 480200 493920 504000 504210 514500 526848 537600 537824 540225 548800 564480 576000 576240 588000 588245 600250 605052 614656 617400 627200 658560 672000 672280 686000 691488 705600 705894 720300 752640 756315 768320 771750 784000 790272 806400 806736 823200 840350 864360 878080 882000 896000 900375 921984 940800 941192 960400 987840 1008000 1008420 1029000 1053696 1058841 1075648 1080450 1097600 1128960 1152000 1152480 1176000 1176490 1200500 1210104 1229312 1234800 1254400 1260525 1317120 1344000 1344560 1372000 1382976 1411200 1411788 1440600 1512630 1536640 1543500 1568000 1580544 1612800 1613472 1646400 1680700 1728720 1756160 1764000 1764735 1800750 1843968 1881600 1882384 1920800 1975680 2016000 2016840 2058000 2100875 2117682 2151296 2160900 2195200 2257920 2304960 2352000 2352980 2401000 2420208 2458624 2469600 2521050 2634240 2688000 2689120 2701125 2744000 2765952 2822400 2823576 2881200 2941225 3025260 3073280 3087000 3136000 3161088 3226944 3292800 3361400 3457440 3528000 3529470 3601500 3687936 3763200 3764768 3781575 3841600 3951360 4032000 4033680 4116000 4201750 4235364 4302592 4321800 4390400 4609920 4704000 4705960 4802000 4840416 4939200 5042100 5268480 5294205 5378240 5402250 5488000 5531904 5644800 5647152 5762400 5882450 6050520 6146560 6174000 6272000 6302625 6453888 6585600 6722800 6914880 7056000 7058940 7203000 7375872 7529536 7563150 7683200 7902720 8064000 8067360 8232000 8403500 8470728 8605184 8643600 8780800 8823675 9219840 9408000 9411920 9604000 9680832 9878400 10084200 10588410 10756480 10804500 10976000 11063808 11289600 11294304 11524800 11764900 12101040 12293120 12348000 12605250 12907776 13171200 13445600 13829760 14112000 14117880 14406000 14706125 15059072 15126300 15366400 15805440 16134720 16464000 16807000 16941456 17210368 17287200 17647350 18439680 18816000 18823840 18907875 19208000 19361664 19756800 20168400 21176820 21512960 21609000 21952000 22127616 22588608 23049600 23529800 24202080 24696000 25210500 25815552 26342400 26471025 26891200 27659520 28224000 28235760 28812000 29412250 30118144 30252600 30732800 32269440 32928000 33614000 33882912 34574400 35294700 36879360 37647680 37815750 38416000 38723328 39513600 40336800 42353640 43025920 43218000 43904000 44118375 45177216 46099200 47059600 48404160 49392000 50421000 51631104 52942050 53782400 55319040 56448000 56471520 57624000 58824500 60236288 60505200 61465600 64538880 65856000 67228000 67765824 69148800 70589400 75295360 75631500 76832000 77446656 79027200 80673600 84707280 86051840 86436000 88236750 90354432 92198400 94119200 96808320 98784000 100842000 105884100 107564800 110638080 112943040 115248000 117649000 120472576 121010400 129077760 131712000 132355125 134456000 135531648 138297600 141178800 150590720 151263000 153664000 154893312 161347200 169414560 172872000 176473500 180708864 184396800 188238400 193616640 197568000 201684000 211768200 215129600 225886080 230496000 235298000 242020800 258155520 264710250 268912000 271063296 276595200 282357600 301181440 302526000 307328000 322694400 338829120 345744000 352947000 361417728 376476800 387233280 395136000 403368000 423536400 430259200 451772160 460992000 470596000 484041600 529420500 537824000 542126592 553190400 564715200 602362880 605052000 645388800 677658240 691488000 705894000 752953600 774466560 806736000 847072800 903544320 921984000 941192000 968083200 1058841000 1075648000 1084253184 1129430400 1210104000 1290777600 1355316480 1382976000 1411788000 1505907200 1613472000 1694145600 1807088640 1882384000 1936166400 2117682000 2151296000 2258860800 2420208000 2710632960 2765952000 2823576000 3011814400 3226944000 3388291200 3764768000 3872332800 4235364000 4517721600 4840416000 5421265920 5647152000 6453888000 6776582400 7529536000 8470728000 9035443200 9680832000 11294304000 13553164800 15059072000 16941456000 19361664000 22588608000 27106329600 33882912000 45177216000 67765824000 135531648000
• Sum of all divisors σ(n): 569797180212
• Sum of proper divisors (its aliquot sum) s(n): 434265532212
• 135531648000 is an abundant number, because the sum of its proper divisors (434265532212) is greater than itself. Its abundance is 298733884212

Bases of 135531648000

• Binary: 1111110001110010100001101010000000000₂
• Hexadecimal: 0x1F8E50D400
• Base-36: 1Q9G1KW0

Squares and roots of 135531648000

• 135531648000 squared (135531648000²) is 18368827609595904000000
• 135531648000 cubed (135531648000³) is 2489557477756433483169792000000000
• The square root of 135531648000 is 368146.2318155653
• The cube root of 135531648000 is 5136.6531326495
• Being both a perfect square and a perfect cube, 135531648000 is also a perfect sixth number.

Scales and comparisons

• 135,531,648,000 seconds is equal to 4,309 years, 25 weeks, 2 days, 8 hours.
• To count from 1 to 135,531,648,000 would take you about eight thousand, six hundred eighteen 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 135531648000 cubic inches would be around 428.1 feet tall.

Recreational maths with 135531648000

• 135531648000 backwards is 000846135531
• 135531648000 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135531648000's digits is 36
• More coming soon!