135262638806400

Names of 135262638806400

• Cardinal: 135262638806400 can be written as One hundred thirty-five trillion, two hundred sixty-two billion, six hundred thirty-eight million, eight hundred six thousand, four hundred.

Scientific notation

• Scientific notation: 1.352626388064 × 10¹⁴

Factors of 135262638806400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 624

Divisors of 135262638806400

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 168 175 180 189 192 200 210 216 224 225 240 252 270 280 288 300 315 320 336 350 360 378 384 400 420 432 448 450 480 504 525 540 560 576 600 607 630 640 672 675 700 720 756 800 840 864 896 900 945 960 1008 1050 1080 1120 1152 1200 1214 1260 1344 1350 1400 1440 1512 1575 1600 1680 1728 1800 1821 1890 1920 2016 2100 2160 2240 2400 2428 2520 2688 2700 2800 2880 3024 3035 3150 3200 3360 3456 3600 3642 3780 4032 4200 4249 4320 4480 4725 4800 4856 5040 5400 5463 5600 5760 6048 6070 6300 6720 7200 7284 7560 8064 8400 8498 8640 9105 9450 9600 9712 10080 10800 10926 11200 12096 12140 12600 12747 13440 14400 14568 15120 15175 16389 16800 16996 17280 18210 18900 19424 20160 21245 21600 21852 22400 24192 24280 25200 25494 27315 28800 29136 30240 30350 32778 33600 33992 36420 37800 38241 38848 40320 42490 43200 43704 45525 48560 50400 50988 54630 58272 60480 60700 63735 65556 67200 67984 72840 75600 76482 77696 81945 84980 86400 87408 91050 97120 100800 101976 106225 109260 114723 116544 120960 121400 127470 131112 135968 136575 145680 151200 152964 163890 169960 174816 182100 191205 194240 201600 203952 212450 218520 229446 233088 242800 254940 262224 271936 273150 291360 302400 305928 318675 327780 339920 349632 364200 368449 382410 388480 407904 409725 424900 437040 458892 485600 509880 524448 543872 546300 573615 582720 604800 611856 637350 655560 679840 699264 728400 736898 764820 815808 819450 849800 874080 917784 956025 971200 1019760 1048896 1092600 1105347 1147230 1165440 1223712 1274700 1311120 1359680 1456800 1473796 1529640 1631616 1638900 1699600 1748160 1835568 1842245 1912050 1942400 2039520 2097792 2185200 2210694 2294460 2447424 2549400 2579143 2622240 2719360 2868075 2913600 2947592 3059280 3277800 3316041 3399200 3496320 3671136 3684490 3824100 4079040 4370400 4421388 4588920 4894848 5098800 5158286 5244480 5526735 5736150 5827200 5895184 6118560 6555600 6632082 6798400 7342272 7368980 7648200 7737429 8158080 8740800 8842776 9177840 9211225 9948123 10197600 10316572 10488960 11053470 11472300 11790368 12237120 12895715 13111200 13264164 13596800 14684544 14737960 15296400 15474858 16580205 17481600 17685552 18355680 18422450 19896246 20395200 20633144 22106940 22944600 23212287 23580736 24474240 25791430 26222400 26528328 27633675 29475920 30592800 30949716 33160410 35371104 36711360 36844900 38687145 39792492 40790400 41266288 44213880 45889200 46424574 47161472 49740615 51582860 52444800 53056656 55267350 58951840 61185600 61899432 64478575 66320820 69636861 70742208 73422720 73689800 77374290 79584984 82532576 82901025 88427760 91778400 92849148 99481230 103165720 106113312 110534700 116061435 117903680 122371200 123798864 128957150 132641640 139273722 141484416 147379600 154748580 159169968 165065152 165802050 176855520 183556800 185698296 193435725 198962460 206331440 212226624 221069400 223648543 232122870 235807360 247597728 248703075 257914300 265283280 278547444 294759200 309497160 318339936 330130304 331604100 348184305 353711040 367113600 371396592 386871450 397924920 412662880 424453248 442138800 447297086 464245740 495195456 497406150 515828600 530566560 557094888 580307175 589518400 618994320 636679872 663208200 670945629 696368610 707422080 742793184 773742900 795849840 825325760 884277600 894594172 928491480 990390912 994812300 1031657200 1061133120 1114189776 1118242715 1160614350 1179036800 1237988640 1273359744 1326416400 1341891258 1392737220 1485586368 1547485800 1565539801 1591699680 1650651520 1740921525 1768555200 1789188344 1856982960 1989624600 2012836887 2063314400 2122266240 2228379552 2236485430 2321228700 2475977280 2652832800 2683782516 2785474440 2971172736 3094971600 3131079602 3183399360 3354728145 3481843050 3537110400 3578376688 3713965920 3979249200 4025673774 4126628800 4456759104 4472970860 4642457400 4696619403 4951954560 5305665600 5367565032 5570948880 5591213575 6038510661 6189943200 6262159204 6366798720 6709456290 6963686100 7156753376 7427931840 7827699005 7958498400 8051347548 8253257600 8913518208 8945941720 9284914800 9393238806 10064184435 10611331200 10735130064 11141897760 11182427150 12077021322 12379886400 12524318408 13418912580 13927372200 14089858209 14313506752 14855863680 15655398010 15916996800 16102695096 16773640725 17891883440 18569829600 18786477612 20128368870 21470260128 22283795520 22364854300 23483097015 24154042644 24759772800 25048636816 26837825160 27854744400 28179716418 28627013504 30192553305 31310796020 31833993600 32205390192 33547281450 35783766880 37139659200 37572955224 39138495025 40256737740 42269574627 42940520256 44567591040 44729708600 46966194030 48308085288 50097273632 50320922175 53675650320 55709488800 56359432836 60385106610 62621592040 64410780384 67094562900 70449291045 71567533760 74279318400 75145910448 78276990050 80513475480 84539149254 85881040512 89459417200 93932388060 96616170576 100194547264 100641844350 107351300640 111418977600 112718865672 117415485075 120770213220 125243184080 128821560768 134189125800 140898582090 143135067520 150291820896 150962766525 156553980100 161026950960 169078298508 178918834400 187864776120 193232341152 200389094528 201283688700 211347873135 214702601280 222837955200 225437731344 234830970150 241540426440 250486368160 257643121536 268378251600 281797164180 300583641792 301925533050 313107960200 322053901920 338156597016 352246455225 357837668800 375729552240 386464682304 402567377400 422695746270 429405202560 450875462688 469661940300 483080852880 500972736320 536756503200 563594328360 601167283584 603851066100 626215920400 644107803840 676313194032 704492910450 715675337600 751459104480 772929364608 805134754800 845391492540 901750925376 939323880600 966161705760 1001945472640 1056739365675 1073513006400 1127188656720 1207702132200 1252431840800 1288215607680 1352626388064 1408985820900 1502918208960 1610269509600 1690782985080 1803501850752 1878647761200 1932323411520 2113478731350 2147026012800 2254377313440 2415404264400 2504863681600 2705252776128 2817971641800 3005836417920 3220539019200 3381565970160 3757295522400 3864646823040 4226957462700 4508754626880 4830808528800 5009727363200 5410505552256 5635943283600 6441078038400 6763131940320 7514591044800 8453914925400 9017509253760 9661617057600 11271886567200 13526263880640 15029182089600 16907829850800 19323234115200 22543773134400 27052527761280 33815659701600 45087546268800 67631319403200 135262638806400
• Sum of all divisors σ(n): 566674920960000
• Sum of proper divisors (its aliquot sum) s(n): 431412282153600
• 135262638806400 is an abundant number, because the sum of its proper divisors (431412282153600) is greater than itself. Its abundance is 296149643347200

Bases of 135262638806400

• Binary: 11110110000010101001001100010011001010110000000₂
• Hexadecimal: 0x7B0549899580
• Base-36: 1BY2SQRMO0

Squares and roots of 135262638806400

• 135262638806400 squared (135262638806400²) is 18295981456870627216680960000
• 135262638806400 cubed (135262638806400³) is 2474762731409283708863338041504006144000000
• The square root of 135262638806400 is 11630246.7216478259
• The cube root of 135262638806400 is 51332.5239643609

Scales and comparisons

• 135,262,638,806,400 seconds is equal to 4,300,933 years, 27 weeks.
• To count from 1 to 135,262,638,806,400 would take you about ten million, seven hundred fifty-two thousand, three hundred thirty-three 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 135262638806400 cubic inches would be around 4277.7 feet tall.

Recreational maths with 135262638806400

• 135262638806400 backwards is 004608836262531
• 135262638806400 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 135262638806400's digits is 54
• More coming soon!