135585267517440

Names of 135585267517440

• Cardinal: 135585267517440 can be written as One hundred thirty-five trillion, five hundred eighty-five billion, two hundred sixty-seven million, five hundred seventeen thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3558526751744 × 10¹⁴

Factors of 135585267517440

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 22963

Divisors of 135585267517440

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 32 36 39 40 45 48 52 54 60 64 65 72 78 80 90 96 104 108 117 120 128 130 135 144 156 160 180 192 195 208 216 234 240 256 260 270 288 312 320 351 360 384 390 416 432 468 480 512 520 540 576 585 624 640 702 720 768 780 832 864 936 960 1024 1040 1080 1152 1170 1248 1280 1404 1440 1536 1560 1664 1728 1755 1783 1872 1920 2048 2080 2160 2304 2340 2496 2560 2808 2880 3072 3120 3328 3456 3510 3566 3744 3840 4160 4320 4608 4680 4992 5120 5349 5616 5760 6144 6240 6656 6912 7020 7132 7488 7680 8320 8640 8915 9216 9360 9984 10240 10698 11232 11520 12480 13312 13824 14040 14264 14976 15360 16047 16640 17280 17830 18432 18720 19968 21157 21396 22464 23040 23179 24960 26624 26745 27648 28080 28528 29952 30720 32094 33280 34560 35660 37440 39936 42314 42792 44928 46080 46358 48141 49920 53490 55296 56160 57056 59904 63471 64188 66560 69120 69537 71320 74880 79872 80235 84628 85584 89856 92160 92716 96282 99840 105785 106980 112320 114112 115895 119808 126942 128376 133120 138240 139074 142640 149760 160470 169256 171168 179712 185432 190413 192564 199680 208611 211570 213960 224640 228224 231790 239616 240705 253884 256752 275041 276480 278148 285280 299520 317355 320940 338512 342336 347685 359424 370864 380826 385128 399360 417222 423140 427920 449280 456448 463580 481410 507768 513504 550082 556296 570560 571239 599040 625833 634710 641880 677024 684672 695370 718848 741728 761652 770256 825123 834444 846280 855840 898560 912896 927160 952065 962820 1015536 1027008 1043055 1100164 1112592 1141120 1142478 1198080 1251666 1269420 1283760 1354048 1369344 1375205 1390740 1483456 1523304 1540512 1650246 1668888 1692560 1711680 1797120 1825792 1854320 1904130 1925640 2031072 2054016 2086110 2200328 2225184 2282240 2284956 2475369 2503332 2538840 2567520 2708096 2738688 2750410 2781480 2856195 2966912 3046608 3081024 3129165 3300492 3337776 3385120 3423360 3594240 3651584 3708640 3808260 3851280 4062144 4108032 4125615 4172220 4400656 4450368 4564480 4569912 4950738 5006664 5077680 5135040 5416192 5477376 5500820 5562960 5712390 5933824 6093216 6162048 6258330 6600984 6675552 6770240 6846720 7417280 7426107 7616520 7702560 8124288 8216064 8251230 8344440 8801312 8900736 9128960 9139824 9901476 10013328 10155360 10270080 10832384 10954752 11001640 11125920 11424780 11867648 12186432 12324096 12376845 12516660 13201968 13351104 13540480 13693440 14834560 14852214 15233040 15405120 16248576 16432128 16502460 16688880 17602624 17801472 18257920 18279648 19802952 20026656 20310720 20540160 21664768 22003280 22251840 22849560 23735296 24372864 24648192 24753690 25033320 26403936 26702208 27080960 27386880 29669120 29704428 30466080 30810240 32497152 32864256 33004920 33377760 35205248 35602944 36559296 37130535 37722931 39605904 40053312 40621440 41080320 43329536 44006560 44503680 45699120 47470592 48745728 49296384 49507380 50066640 52807872 53404416 54161920 54773760 59338240 59408856 60932160 61620480 64994304 66009840 66755520 70410496 71205888 73118592 74261070 75445862 79211808 80106624 81242880 82160640 88013120 89007360 91398240 97491456 98592768 99014760 100133280 105615744 106808832 108323840 113168793 118676480 118817712 121864320 123240960 129988608 132019680 133511040 140820992 142411776 146237184 148522140 150891724 158423616 160213248 162485760 164321280 176026240 178014720 182796480 188614655 194982912 198029520 200266560 211231488 213617664 216647680 226337586 237352960 237635424 243728640 246481920 264039360 267022080 281641984 292474368 297044280 301783448 316847232 320426496 324971520 339506379 352052480 356029440 365592960 377229310 389965824 396059040 400533120 422462976 427235328 452675172 475270848 487457280 490398103 492963840 528078720 534044160 563283968 565843965 584948736 594088560 603566896 633694464 640852992 649943040 679012758 704104960 712058880 731185920 754458620 792118080 801066240 844925952 905350344 950541696 974914560 980796206 1018519137 1056157440 1068088320 1131687930 1169897472 1188177120 1207133792 1267388928 1281705984 1358025516 1408209920 1462371840 1471194309 1508917240 1584236160 1602132480 1689851904 1697531895 1810700688 1901083392 1949829120 1961592412 2037038274 2112314880 2136176640 2263375860 2376354240 2414267584 2451990515 2534777856 2716051032 2816419840 2924743680 2942388618 3017834480 3168472320 3204264960 3395063790 3621401376 3802166784 3923184824 4074076548 4224629760 4413582927 4526751720 4752708480 4828535168 4903981030 5069555712 5092595685 5432102064 5849487360 5884777236 6035668960 6336944640 6408529920 6790127580 7242802752 7355971545 7604333568 7846369648 8148153096 8449259520 8827165854 9053503440 9505416960 9657070336 9807962060 10185191370 10864204128 11769554472 12071337920 12673889280 13240748781 13580255160 14485605504 14711943090 15208667136 15692739296 16296306192 17654331708 18107006880 19010833920 19314140672 19615924120 20370382740 21728408256 22067914635 23539108944 24142675840 25347778560 26481497562 27160510320 28971211008 29423886180 31385478592 32592612384 35308663416 36214013760 38021667840 38628281344 39231848240 40740765480 43456816512 44135829270 47078217888 48285351680 52962995124 54321020640 57942422016 58847772360 62770957184 65185224768 66203743905 70617326832 72428027520 76043335680 77256562688 78463696480 81481530960 86913633024 88271658540 94156435776 96570703360 105925990248 108642041280 115884844032 117695544720 125541914368 130370449536 132407487810 141234653664 144856055040 156927392960 162963061920 173827266048 176543317080 188312871552 193141406720 211851980496 217284082560 231769688064 235391089440 251083828736 260740899072 264814975620 282469307328 289712110080 313854785920 325926123840 347654532096 353086634160 376625743104 386282813440 423703960992 434568165120 470782178880 502167657472 521481798144 529629951240 564938614656 579424220160 627709571840 651852247680 695309064192 706173268320 753251486208 847407921984 869136330240 941564357760 1004335314944 1042963596288 1059259902480 1129877229312 1158848440320 1255419143680 1303704495360 1412346536640 1506502972416 1694815843968 1738272660480 1883128715520 2085927192576 2118519804960 2259754458624 2510838287360 2607408990720 2824693073280 3013005944832 3389631687936 3476545320960 3766257431040 4237039609920 4519508917248 5021676574720 5214817981440 5649386146560 6779263375872 7532514862080 8474079219840 9039017834496 10429635962880 11298772293120 13558526751744 15065029724160 16948158439680 22597544586240 27117053503488 33896316879360 45195089172480 67792633758720 135585267517440
• Sum of all divisors σ(n): 519353002022400
• Sum of proper divisors (its aliquot sum) s(n): 383767734504960
• 135585267517440 is an abundant number, because the sum of its proper divisors (383767734504960) is greater than itself. Its abundance is 248182466987520

Bases of 135585267517440

• Binary: 11110110101000001100111101101010000100000000000₂
• Hexadecimal: 0x7B5067B50800
• Base-36: 1C270FKLC0

Squares and roots of 135585267517440

• 135585267517440 squared (135585267517440²) is 18383364767775770380704153600
• 135585267517440 cubed (135585267517440³) is 2492513429909559088636358939656568438784000
• The square root of 135585267517440 is 11644108.7042950609
• The cube root of 135585267517440 is 51373.3043705951

Scales and comparisons

• 135,585,267,517,440 seconds is equal to 4,311,192 years, 5 weeks, 6 days, 14 hours, 24 minutes.
• To count from 1 to 135,585,267,517,440 would take you about ten million, seven hundred seventy-seven thousand, nine hundred eighty 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 135585267517440 cubic inches would be around 4281.1 feet tall.

Recreational maths with 135585267517440

• 135585267517440 backwards is 044715762585531
• The number of decimal digits it has is: 15
• The sum of 135585267517440's digits is 63
• More coming soon!