135214304400

Names of 135214304400

• Cardinal: 135214304400 can be written as One hundred thirty-five billion, two hundred fourteen million, three hundred four thousand, four hundred.

Scientific notation

• Scientific notation: 1.352143044 × 10¹¹

Factors of 135214304400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 40

Divisors of 135214304400

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 25 27 28 30 35 36 40 42 45 46 48 49 50 54 56 60 63 69 70 72 75 80 81 84 90 92 98 100 105 108 112 115 120 126 135 138 140 144 147 150 161 162 168 175 180 184 189 196 200 207 210 216 225 230 240 245 252 270 276 280 294 300 315 322 324 336 343 345 350 360 368 378 392 400 405 414 420 432 441 450 460 483 490 504 525 529 540 552 560 567 575 588 600 621 630 644 648 675 686 690 700 720 735 756 784 805 810 828 840 882 900 920 945 966 980 1008 1029 1035 1050 1058 1080 1104 1127 1134 1150 1176 1200 1225 1242 1260 1288 1296 1323 1350 1372 1380 1400 1449 1470 1512 1575 1587 1610 1620 1656 1680 1715 1725 1764 1800 1840 1863 1890 1932 1960 2025 2058 2070 2100 2116 2160 2205 2254 2268 2300 2352 2415 2450 2484 2520 2576 2645 2646 2700 2744 2760 2800 2835 2898 2940 3024 3087 3105 3150 3174 3220 3240 3312 3381 3430 3450 3528 3600 3675 3703 3726 3780 3864 3920 3969 4025 4050 4116 4140 4200 4232 4347 4410 4508 4536 4600 4725 4761 4830 4900 4968 5040 5145 5175 5290 5292 5400 5488 5520 5635 5670 5796 5880 6174 6210 6300 6348 6440 6480 6615 6762 6860 6900 7056 7245 7350 7406 7452 7560 7728 7889 7935 7938 8050 8100 8232 8280 8400 8464 8575 8694 8820 9016 9072 9200 9261 9315 9450 9522 9660 9800 9936 10143 10290 10350 10580 10584 10800 11025 11109 11270 11340 11592 11760 12075 12167 12348 12420 12600 12696 12880 13041 13225 13230 13524 13720 13800 14175 14283 14490 14700 14812 14904 15120 15435 15525 15778 15870 15876 16100 16200 16464 16560 16905 17150 17388 17640 18032 18515 18522 18630 18900 19044 19320 19600 19845 20286 20580 20700 21160 21168 21735 22050 22218 22540 22680 23184 23667 23805 24150 24334 24696 24840 25200 25392 25725 25921 26082 26450 26460 27048 27440 27600 27783 28175 28350 28566 28980 29400 29624 29808 30429 30870 31050 31556 31740 31752 32200 32400 33075 33327 33810 34300 34776 35280 36225 36501 37030 37044 37260 37800 38088 38640 39445 39675 39690 40572 41160 41400 42320 42849 43470 44100 44436 45080 45360 46305 46575 47334 47610 48300 48668 49392 49680 50715 51450 51842 52164 52900 52920 54096 55545 55566 56350 56700 57132 57960 58800 59248 60835 60858 61740 62100 63112 63480 63504 64400 65205 66150 66654 67620 68600 69552 71001 71415 72450 73002 74060 74088 74520 75600 76176 77175 77763 78890 79350 79380 81144 82320 82800 84525 85169 85698 86940 88200 88872 90160 91287 92575 92610 93150 94668 95220 96600 97336 99225 99981 101430 102900 103684 104328 105800 105840 108675 109503 111090 111132 112700 113400 114264 115920 118335 119025 121670 121716 123480 124200 126224 126960 129605 130410 132300 133308 135240 137200 138915 142002 142830 144900 146004 148120 148176 149040 152145 154350 155526 157780 158700 158760 162288 166635 169050 170338 171396 173880 176400 177744 181447 182505 182574 185150 185220 186300 189336 190440 193200 194672 197225 198450 199962 202860 205800 207368 208656 211600 213003 214245 217350 219006 222180 222264 225400 226800 228528 231525 233289 236670 238050 243340 243432 246960 248400 253575 255507 259210 260820 264600 266616 270480 277725 277830 284004 285660 289800 292008 296240 299943 304175 304290 308700 311052 315560 317400 317520 326025 328509 333270 338100 340676 342792 347760 355005 357075 362894 365010 365148 370300 370440 372600 378672 380880 388815 394450 396900 399924 405720 411600 414736 425845 426006 428490 434700 438012 444360 444528 450800 456435 463050 466578 473340 476100 486680 486864 499905 507150 511014 518420 521640 529200 533232 544341 547515 555450 555660 568008 571320 579600 584016 591675 596183 599886 608350 608580 617400 622104 631120 634800 639009 648025 652050 657018 666540 676200 681352 685584 694575 699867 710010 714150 725788 730020 730296 740600 740880 745200 760725 766521 777630 788900 793800 799848 811440 833175 851690 852012 856980 869400 876024 888720 907235 912525 912870 926100 933156 946680 952200 973360 985527 999810 1014300 1022028 1036840 1043280 1065015 1071225 1088682 1095030 1110900 1111320 1136016 1142640 1166445 1183350 1192366 1199772 1216700 1217160 1234800 1244208 1277535 1278018 1296050 1304100 1314036 1333080 1352400 1362704 1389150 1399734 1420020 1428300 1451576 1460040 1460592 1481200 1499715 1521450 1533042 1555260 1577800 1587600 1599696 1633023 1642545 1666350 1703380 1704024 1713960 1738800 1752048 1775025 1788549 1814470 1825050 1825740 1852200 1866312 1893360 1904400 1944075 1971054 1999620 2028600 2044056 2073680 2099601 2129225 2130030 2142450 2177364 2190060 2221800 2222640 2282175 2299563 2332890 2366700 2384732 2399544 2433400 2434320 2499525 2555070 2556036 2592100 2608200 2628072 2666160 2721705 2737575 2778300 2799468 2840040 2856600 2903152 2920080 2980915 2999430 3042900 3066084 3110520 3155600 3195045 3266046 3285090 3332700 3406760 3408048 3427920 3499335 3550050 3577098 3628940 3650100 3651480 3704400 3732624 3832605 3888150 3942108 3999240 4057200 4088112 4173281 4199202 4258450 4260060 4284900 4354728 4380120 4443600 4536175 4564350 4599126 4665780 4733400 4769464 4799088 4866800 4899069 4927635 4999050 5110140 5112072 5184200 5216400 5256144 5325075 5365647 5443410 5475150 5556600 5598936 5680080 5713200 5832225 5961830 5998860 6085800 6132168 6221040 6387675 6390090 6532092 6570180 6665400 6813520 6898689 6998670 7100100 7154196 7257880 7300200 7302960 7498575 7665210 7776300 7884216 7998480 8165115 8212725 8346562 8398404 8516900 8520120 8569800 8709456 8760240 8942745 9072350 9128700 9198252 9331560 9466800 9538928 9798138 9855270 9998100 10220280 10224144 10368400 10498005 10650150 10731294 10886820 10950300 11113200 11197872 11497815 11664450 11923660 11997720 12171600 12264336 12519843 12775350 12780180 13064184 13140360 13330800 13608525 13797378 13997340 14200200 14308392 14515760 14600400 14697207 14904575 14997150 15330420 15552600 15768432 15975225 16096941 16330230 16425450 16693124 16796808 17033800 17040240 17139600 17496675 17885490 18144700 18257400 18396504 18663120 19163025 19596276 19710540 19996200 20440560 20866405 20996010 21300300 21462588 21773640 21900600 22995630 23328900 23847320 23995440 24495345 24638175 25039686 25550700 25560360 26128368 26280720 26828235 27217050 27594756 27994680 28400400 28616784 29394414 29809150 29994300 30660840 31105200 31950450 32193882 32660460 32850900 33386248 33593616 34067600 34493445 34993350 35770980 36289400 36514800 36793008 37559529 38326050 39192552 39421080 39992400 40825575 41732810 41992020 42600600 42925176 43547280 43801200 44713725 45991260 46657800 47694640 48290823 48990690 49276350 50079372 51101400 51120720 52490025 53656470 54434100 55189512 55989360 57489075 58788828 59618300 59988600 61321680 62599215 63900900 64387764 65320920 65701800 66772496 68986890 69986700 71541960 72578800 73486035 75119058 76652100 78385104 78842160 80484705 81651150 83465620 83984040 85201200 85850352 89427450 91982520 93315600 96581646 97981380 98552700 100158744 102202800 104332025 104980050 107312940 108868200 110379024 112678587 114978150 117577656 119236600 119977200 122476725 125198430 127801800 128775528 130641840 131403600 134141175 137973780 139973400 143083920 146972070 150238116 153304200 160969410 163302300 166931240 167968080 172467225 178854900 183965040 187797645 193163292 195962760 197105400 200317488 208664050 209960100 214625880 217736400 225357174 229956300 235155312 238473200 241454115 244953450 250396860 255603600 257551056 268282350 275947560 279946800 293944140 300476232 306608400 312996075 321938820 326604600 333862480 338035761 344934450 357709800 367430175 375595290 386326584 391925520 394210800 402423525 417328100 419920200 429251760 450714348 459912600 482908230 489906900 500793720 536564700 551895120 563392935 587888280 600952464 625992150 643877640 653209200 676071522 689868900 715419600 734860350 751190580 772653168 804847050 834656200 839840400 901428696 919825200 938988225 965816460 979813800 1001587440 1073129400 1126785870 1175776560 1207270575 1251984300 1287755280 1352143044 1379737800 1469720700 1502381160 1609694100 1669312400 1690178805 1802857392 1877976450 1931632920 1959627600 2146258800 2253571740 2414541150 2503968600 2704286088 2759475600 2816964675 2939441400 3004762320 3219388200 3380357610 3755952900 3863265840 4507143480 4829082300 5007937200 5408572176 5633929350 5878882800 6438776400 6760715220 7511905800 8450894025 9014286960 9658164600 11267858700 13521430440 15023811600 16901788050 19316329200 22535717400 27042860880 33803576100 45071434800 67607152200 135214304400
• Sum of all divisors σ(n): 591637728000
• Sum of proper divisors (its aliquot sum) s(n): 456423423600
• 135214304400 is an abundant number, because the sum of its proper divisors (456423423600) is greater than itself. Its abundance is 321209119200

Bases of 135214304400

• Binary: 1111101111011011001101000110010010000₂
• Hexadecimal: 0x1F7B668C90
• Base-36: 1Q473T00

Squares and roots of 135214304400

• 135214304400 squared (135214304400²) is 18282908114375859360000
• 135214304400 cubed (135214304400³) is 2472110703094447463514629184000000
• The square root of 135214304400 is 367714.9771222271
• The cube root of 135214304400 is 5132.6408891521

Scales and comparisons

• 135,214,304,400 seconds is equal to 4,299 years, 20 weeks, 4 days, 9 hours.
• To count from 1 to 135,214,304,400 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 135214304400 cubic inches would be around 427.7 feet tall.

Recreational maths with 135214304400

• 135214304400 backwards is 004403412531
• 135214304400 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 135214304400's digits is 27
• More coming soon!