135375428812800
135,375,428,812,800 is an even composite number composed of seven prime numbers multiplied together.
135375428812800 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 135375428812800:
215 × 3 × 52 × 112 × 17 × 61 × 439
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 17 × 61 × 439)See below for interesting mathematical facts about the number 135375428812800 from the Numbermatics database.
Names of 135375428812800
- Cardinal: 135375428812800 can be written as One hundred thirty-five trillion, three hundred seventy-five billion, four hundred twenty-eight million, eight hundred twelve thousand, eight hundred.
Scientific notation
- Scientific notation: 1.353754288128 × 1014
Factors of 135375428812800
Divisors of 135375428812800
- Number of divisors d(n): 2304
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 25 30 32 33 34 40 44 48 50 51 55 60 61 64 66 68 75 80 85 88 96 100 102 110 120 121 122 128 132 136 150 160 165 170 176 183 187 192 200 204 220 240 242 244 255 256 264 272 275 300 305 320 330 340 352 363 366 374 384 400 408 425 439 440 480 484 488 510 512 528 544 550 561 600 605 610 640 660 671 680 704 726 732 748 768 800 816 825 850 878 880 915 935 960 968 976 1020 1024 1037 1056 1088 1100 1122 1200 1210 1220 1275 1280 1317 1320 1342 1360 1408 1452 1464 1496 1525 1536 1600 1632 1650 1700 1756 1760 1815 1830 1870 1920 1936 1952 2013 2040 2048 2057 2074 2112 2176 2195 2200 2244 2400 2420 2440 2550 2560 2634 2640 2684 2720 2805 2816 2904 2928 2992 3025 3050 3072 3111 3200 3264 3300 3355 3400 3512 3520 3630 3660 3740 3840 3872 3904 4026 4080 4096 4114 4148 4224 4352 4390 4400 4488 4575 4675 4800 4829 4840 4880 5100 5120 5185 5268 5280 5368 5440 5610 5632 5808 5856 5984 6050 6100 6144 6171 6222 6400 6528 6585 6600 6710 6800 7024 7040 7260 7320 7381 7463 7480 7680 7744 7808 8052 8160 8192 8228 8296 8448 8704 8780 8800 8976 9075 9150 9350 9600 9658 9680 9760 10065 10200 10240 10285 10370 10536 10560 10736 10880 10975 11220 11264 11407 11616 11712 11968 12100 12200 12288 12342 12444 12800 13056 13170 13200 13420 13600 14025 14048 14080 14487 14520 14640 14762 14926 14960 15360 15488 15555 15616 16104 16320 16384 16456 16592 16775 16896 17408 17560 17600 17952 18150 18300 18700 19200 19316 19360 19520 20130 20400 20480 20570 20740 21072 21120 21472 21760 21950 22143 22389 22440 22528 22814 23232 23424 23936 24145 24200 24400 24576 24684 24888 25600 25925 26112 26340 26400 26779 26840 27200 28050 28096 28160 28974 29040 29280 29524 29852 29920 30720 30855 30976 31110 31232 32208 32640 32768 32912 32925 33184 33550 33792 34221 34816 35120 35200 35904 36300 36600 36905 37315 37400 38400 38632 38720 39040 40260 40800 40960 41140 41480 42144 42240 42944 43520 43900 44286 44778 44880 45056 45628 46464 46848 47872 48290 48400 48800 49152 49368 49776 50325 51200 51425 51850 52224 52680 52800 53119 53558 53680 54400 56100 56192 56320 57035 57948 58080 58560 59048 59704 59840 61440 61710 61952 62220 62464 64416 65280 65824 65850 66368 67100 67584 68442 69632 70240 70400 71808 72435 72600 73200 73810 74630 74800 76800 77264 77440 77775 78080 80337 80520 81600 81920 82093 82280 82960 84288 84480 85888 87040 87800 88572 89556 89760 90112 91256 92928 93696 95744 96580 96800 97600 98304 98736 99552 100650 102400 102850 103700 104448 105360 105600 106238 107116 107360 108800 110715 111945 112200 112384 112640 114070 115896 116160 117120 118096 119408 119680 120725 122880 123420 123904 124440 124928 125477 128832 130560 131648 131700 132736 133895 134200 135168 136884 139264 140480 140800 143616 144870 145200 146400 147620 149260 149600 153600 154275 154528 154880 155550 156160 159357 160674 161040 163200 163840 164186 164560 165920 168576 168960 171105 171776 174080 175600 177144 179112 179520 180224 182512 184525 185856 186575 187392 191488 193160 193600 195200 197472 199104 201300 204800 205700 207400 208896 210720 211200 212476 214232 214720 217600 221430 223890 224400 224768 225280 228140 231792 232320 234240 236192 238816 239360 241450 245760 246279 246840 247808 248880 249856 250954 257664 261120 263296 263400 265472 265595 267790 268400 270336 273768 278528 280960 281600 285175 287232 289740 290400 292800 294569 295240 298520 299200 307200 308550 309056 309760 311100 312320 318714 321348 322080 326400 328372 329120 331840 337152 337920 342210 343552 348160 351200 354288 358224 359040 360448 362175 365024 369050 371712 373150 374784 376431 382976 386320 387200 390400 394944 398208 401685 402600 409600 410465 411400 414800 417792 421440 422400 424952 428464 429440 435200 442860 447780 448800 449536 450560 455243 456280 463584 464640 468480 472384 477632 478720 482900 491520 492558 493680 495616 497760 499712 501908 515328 522240 526592 526800 530944 531190 535580 536800 540672 547536 553575 557056 559725 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1448700 1460096 1472845 1476200 1486848 1492600 1499136 1505724 1531904 1545280 1548800 1561600 1579776 1592832 1593570 1606740 1610400 1641860 1645600 1659200 1671168 1685760 1689600 1699808 1711050 1713856 1717760 1740800 1767414 1771440 1791120 1795200 1798144 1802240 1806046 1820972 1825120 1854336 1858560 1873920 1882155 1889536 1910528 1914880 1931600 1970232 1974720 1982464 1991040 1998848 2007632 2008425 2052325 2061312 2088960 2106368 2107200 2123776 2124760 2142320 2147200 2190144 2214300 2238900 2247680 2252800 2276215 2281400 2297856 2317920 2323200 2342400 2356552 2361920 2388160 2393600 2457600 2462790 2468400 2472448 2478080 2488800 2498560 2509540 2549712 2570784 2576640 2611200 2626976 2632960 2654720 2655950 2677900 2697216 2703360 2709069 2731458 2737680 2748416 2785280 2809600 2834304 2865792 2872320 2897400 2920192 2945690 2952400 2973696 2985200 2998272 3011448 3063808 3090560 3097600 3123200 3136925 3159552 3185664 3187140 3213480 3220800 3240259 3283720 3291200 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7434240 7495680 7528620 7558144 7642112 7659520 7726400 7880928 7898880 7964160 7967850 8030528 8033700 8209300 8245248 8355840 8425472 8428800 8495104 8499040 8569280 8588800 8760576 8837070 8857200 8955600 8990720 9011200 9030230 9104860 9125600 9191424 9271680 9292800 9369600 9410775 9426208 9447680 9552640 9574400 9720777 9851160 9873600 9889792 9912320 9955200 9994240 10015346 10038160 10198848 10283136 10306560 10444800 10507904 10531840 10618880 10623800 10711600 10788864 10836276 10925832 10950720 10993664 11238400 11337216 11381075 11463168 11489280 11589600 11680768 11782760 11809600 11894784 11940800 12045792 12313950 12362240 12390400 12492800 12547700 12638208 12742656 12748560 12853920 12883200 12961036 13134880 13164800 13273600 13486080 13516800 13545345 13598464 13657290 13688400 13710848 13742080 13926400 14139312 14171520 14328960 14361600 14385152 14448368 14567776 14600960 14728450 14834688 14868480 14991360 15023019 15057240 15116288 15284224 15319040 15452800 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3023257600 3056844800 3083722752 3110648640 3152371200 3204910720 3212211200 3263631360 3290603520 3305064180 3318025216 3362529280 3467608320 3496266240 3504230400 3525401792 3619663872 3627909120 3668213760 3698782208 3729350656 3770483200 3845892864 3854653440 3888310800 3955916800 4006138400 4035035136 4079539200 4111630336 4113254400 4131330225 4147531520 4203161600 4334510400 4351508480 4370332800 4387471360 4406752240 4524579840 4534886400 4585267200 4623477760 4661688320 4672307200 4807366080 4818316800 4826218496 4977037824 5043793920 5055283200 5127857152 5139537920 5184414400 5221810176 5288102688 5439385600 5484339200 5508440300 5548173312 5594025984 5606768640 5655724800 5779347200 5827110400 5933875200 6009207600 6032773120 6046515200 6113689600 6167445504 6221297280 6304742400 6409821440 6424422400 6527262720 6581207040 6610128360 6636050432 6725058560 6935216640 6992532480 7008460800 7050803584 7239327744 7397564416 7458701312 7540966400 7691785728 7709306880 7776621600 8012276800 8070070272 8159078400 8226508800 8262660450 8295063040 8406323200 8669020800 8703016960 8740665600 8813504480 9049159680 9069772800 9170534400 9246955520 9323376640 9344614400 9614732160 9636633600 9652436992 9954075648 10087587840 10255714304 10279075840 10368828800 10576205376 10878771200 10968678400 11016880600 11096346624 11188051968 11311449600 11558694400 11654220800 11867750400 12018415200 12065546240 12334891008 12442594560 12609484800 12819642880 12848844800 13054525440 13162414080 13220256720 13272100864 13450117120 13870433280 13985064960 14016921600 14101607168 14478655488 14795128832 14917402624 15081932800 15383571456 15418613760 15553243200 16024553600 16318156800 16453017600 16525320900 16590126080 16812646400 17338041600 17481331200 17627008960 18098319360 18139545600 18341068800 18493911040 18646753280 19229464320 19273267200 19908151296 20175175680 20511428608 20558151680 20737657600 21152410752 21757542400 21937356800 22033761200 22192693248 22376103936 22622899200 23117388800 23308441600 24036830400 24131092480 24885189120 25218969600 25639285760 25697689600 26109050880 26440513440 26544201728 27740866560 27970129920 28033843200 28203214336 28957310976 29590257664 30163865600 30767142912 30837227520 31106486400 32049107200 32636313600 32906035200 33050641800 33180252160 33625292800 34676083200 34962662400 35254017920 36196638720 36987822080 37293506560 38458928640 38546534400 39816302592 40350351360 41022857216 41475315200 42304821504 43515084800 44067522400 44385386496 44752207872 45245798400 46234777600 46616883200 48073660800 48262184960 49770378240 50437939200 51278571520 51395379200 52881026880 53088403456 55481733120 55940259840 56406428672 60327731200 61534285824 61674455040 62212972800 64098214400 65272627200 65812070400 66101283600 66360504320 67250585600 69352166400 69925324800 70508035840 72393277440 73975644160 74587013120 76917857280 77093068800 79632605184 82045714432 82950630400 84609643008 88135044800 88770772992 90491596800 92469555200 93233766400 96147321600 99540756480 100875878400 102557143040 102790758400 105762053760 106176806912 110963466240 111880519680 112812857344 120655462400 123068571648 124425945600 128196428800 130545254400 132202567200 132721008640 138704332800 139850649600 141016071680 144786554880 147951288320 153835714560 154186137600 159265210368 164091428864 165901260800 169219286016 176270089600 180983193600 184939110400 186467532800 192294643200 199081512960 201751756800 205114286080 211524107520 221926932480 223761039360 225625714688 241310924800 246137143296 248851891200 256392857600 264405134400 265442017280 277408665600 279701299200 282032143360 307671429120 308372275200 318530420736 331802521600 338438572032 352540179200 361966387200 369878220800 372935065600 384589286400 398163025920 410228572160 423048215040 443853864960 451251429376 492274286592 497703782400 512785715200 528810268800 530884034560 554817331200 559402598400 564064286720 615342858240 663605043200 676877144064 705080358400 723932774400 739756441600 769178572800 796326051840 820457144320 846096430080 902502858752 995407564800 1025571430400 1057620537600 1109634662400 1118805196800 1128128573440 1230685716480 1327210086400 1353754288128 1410160716800 1538357145600 1592652103680 1692192860160 1805005717504 1990815129600 2051142860800 2115241075200 2219269324800 2256257146880 2461371432960 2654420172800 2707508576256 2820321433600 3076714291200 3384385720320 3981630259200 4102285721600 4230482150400 4512514293760 5415017152512 5640642867200 6153428582400 6768771440640 7963260518400 8460964300800 9025028587520 11281285734400 12306857164800 13537542881280 16921928601600 22562571468800 27075085762560 33843857203200 45125142937600 67687714406400 135375428812800
- Sum of all divisors σ(n): 530717613148800
- Sum of proper divisors (its aliquot sum) s(n): 395342184336000
- 135375428812800 is an abundant number, because the sum of its proper divisors (395342184336000) is greater than itself. Its abundance is 259966755523200
Bases of 135375428812800
- Binary: 111101100011111100011000101100010000000000000002
- Hexadecimal: 0x7B1F8C588000
- Base-36: 1BZIM30WLC
Squares and roots of 135375428812800
- 135375428812800 squared (1353754288128002) is 18326506726249480417443840000
- 135375428812800 cubed (1353754288128003) is 2480958706706686913384656189261873152000000
-
The
square root of 135375428812800 is 11635094.7057941905 -
The
cube root of 135375428812800 is 51346.7880341511
Scales and comparisons
How big is 135375428812800?- 135,375,428,812,800 seconds is equal to 4,304,519 years, 46 weeks, 2 days, 21 hours, 20 minutes.
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To count from 1 to 135,375,428,812,800 would take you about ten million, seven hundred sixty-one thousand, two hundred ninety-nine 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 135375428812800 cubic inches would be around 4278.9 feet tall.
Recreational maths with 135375428812800
- 135375428812800 backwards is 008218824573531
- The number of decimal digits it has is: 15
- The sum of 135375428812800's digits is 57
- More coming soon!
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The information we have on file for 135375428812800 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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