134468812800

Names of 134468812800

• Cardinal: 134468812800 can be written as One hundred thirty-four billion, four hundred sixty-eight million, eight hundred twelve thousand, eight hundred.

Scientific notation

• Scientific notation: 1.344688128 × 10¹¹

Factors of 134468812800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 210

Divisors of 134468812800

• Number of divisors d(n): 1080
• 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 81 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 162 168 175 180 189 192 193 200 210 216 224 225 240 243 252 256 270 280 288 300 315 320 324 336 350 360 378 384 386 400 405 420 432 448 450 480 486 504 512 525 540 560 567 576 579 600 630 640 648 672 675 700 720 756 768 772 800 810 840 864 896 900 945 960 965 972 1008 1024 1050 1080 1120 1134 1152 1158 1200 1215 1260 1280 1296 1344 1350 1351 1400 1440 1512 1536 1544 1575 1600 1620 1680 1701 1728 1737 1792 1800 1890 1920 1930 1944 2016 2025 2048 2100 2160 2240 2268 2304 2316 2400 2430 2520 2560 2592 2688 2700 2702 2800 2835 2880 2895 3024 3072 3088 3150 3200 3240 3360 3402 3456 3474 3584 3600 3780 3840 3860 3888 4032 4050 4053 4096 4200 4320 4480 4536 4608 4632 4725 4800 4825 4860 5040 5120 5184 5211 5376 5400 5404 5600 5670 5760 5790 6048 6075 6144 6176 6300 6400 6480 6720 6755 6804 6912 6948 7168 7200 7560 7680 7720 7776 8064 8100 8106 8192 8400 8505 8640 8685 8960 9072 9216 9264 9450 9600 9650 9720 10080 10240 10368 10422 10752 10800 10808 11200 11340 11520 11580 12096 12150 12159 12288 12352 12600 12800 12960 13440 13510 13608 13824 13896 14175 14336 14400 14475 15120 15360 15440 15552 15633 16128 16200 16212 16384 16800 17010 17280 17370 17920 18144 18432 18528 18900 19200 19300 19440 20160 20265 20480 20736 20844 21504 21600 21616 22400 22680 23040 23160 24192 24300 24318 24576 24704 25200 25600 25920 26055 26880 27020 27216 27648 27792 28350 28672 28800 28950 30240 30720 30880 31104 31266 32256 32400 32424 33600 33775 34020 34560 34740 35840 36288 36477 36864 37056 37800 38400 38600 38880 40320 40530 40960 41472 41688 42525 43008 43200 43232 43425 44800 45360 46080 46320 46899 48384 48600 48636 49152 49408 50400 51200 51840 52110 53760 54040 54432 55296 55584 56700 57344 57600 57900 60480 60795 61440 61760 62208 62532 64512 64800 64848 67200 67550 68040 69120 69480 71680 72576 72954 73728 74112 75600 76800 77200 77760 78165 80640 81060 81920 82944 83376 85050 86016 86400 86464 86850 89600 90720 92160 92640 93798 96768 97200 97272 98816 100800 101325 102400 103680 104220 107520 108080 108864 109431 110592 111168 113400 114688 115200 115800 120960 121590 122880 123520 124416 125064 129024 129600 129696 130275 134400 135100 136080 138240 138960 143360 145152 145908 147456 148224 151200 153600 154400 155520 156330 161280 162120 165888 166752 170100 172032 172800 172928 173700 179200 181440 182385 184320 185280 187596 193536 194400 194544 197632 201600 202650 204800 207360 208440 215040 216160 217728 218862 221184 222336 226800 230400 231600 234495 241920 243180 245760 247040 248832 250128 258048 259200 259392 260550 268800 270200 272160 276480 277920 286720 290304 291816 296448 302400 303975 307200 308800 311040 312660 322560 324240 328293 331776 333504 340200 344064 345600 345856 347400 358400 362880 364770 368640 370560 375192 387072 388800 389088 390825 395264 403200 405300 409600 414720 416880 430080 432320 435456 437724 442368 444672 453600 460800 463200 468990 483840 486360 494080 497664 500256 516096 518400 518784 521100 537600 540400 544320 547155 552960 555840 573440 580608 583632 592896 604800 607950 614400 617600 622080 625320 645120 648480 656586 663552 667008 680400 691200 691712 694800 716800 725760 729540 737280 741120 750384 774144 777600 778176 781650 790528 806400 810600 829440 833760 860160 864640 870912 875448 889344 907200 911925 921600 926400 937980 967680 972720 988160 995328 1000512 1032192 1036800 1037568 1042200 1075200 1080800 1088640 1094310 1105920 1111680 1161216 1167264 1172475 1185792 1209600 1215900 1228800 1235200 1244160 1250640 1290240 1296960 1313172 1327104 1334016 1360800 1382400 1383424 1389600 1433600 1451520 1459080 1482240 1500768 1548288 1555200 1556352 1563300 1581056 1612800 1621200 1641465 1658880 1667520 1720320 1729280 1741824 1750896 1778688 1814400 1823850 1843200 1852800 1875960 1935360 1945440 1976320 1990656 2001024 2073600 2075136 2084400 2150400 2161600 2177280 2188620 2211840 2223360 2322432 2334528 2344950 2371584 2419200 2431800 2470400 2488320 2501280 2580480 2593920 2626344 2668032 2721600 2735775 2764800 2766848 2779200 2867200 2903040 2918160 2964480 3001536 3096576 3110400 3112704 3126600 3162112 3225600 3242400 3282930 3317760 3335040 3458560 3483648 3501792 3557376 3628800 3647700 3686400 3705600 3751920 3870720 3890880 3952640 3981312 4002048 4147200 4150272 4168800 4300800 4323200 4354560 4377240 4446720 4644864 4669056 4689900 4743168 4838400 4863600 4940800 4976640 5002560 5160960 5187840 5252688 5336064 5443200 5471550 5529600 5533696 5558400 5806080 5836320 5928960 6003072 6220800 6225408 6253200 6451200 6484800 6565860 6635520 6670080 6917120 6967296 7003584 7114752 7257600 7295400 7411200 7503840 7741440 7781760 7905280 8004096 8207325 8294400 8300544 8337600 8601600 8646400 8709120 8754480 8893440 9289728 9338112 9379800 9486336 9676800 9727200 9881600 9953280 10005120 10375680 10505376 10672128 10886400 10943100 11059200 11067392 11116800 11612160 11672640 11857920 12006144 12441600 12450816 12506400 12902400 12969600 13131720 13340160 13834240 13934592 14007168 14229504 14515200 14590800 14822400 15007680 15482880 15563520 15810560 16008192 16414650 16588800 16601088 16675200 17292800 17418240 17508960 17786880 18676224 18759600 19353600 19454400 19763200 19906560 20010240 20751360 21010752 21344256 21772800 21886200 22134784 22233600 23224320 23345280 23715840 24012288 24883200 24901632 25012800 25804800 25939200 26263440 26680320 27668480 27869184 28014336 28459008 29030400 29181600 29644800 30015360 31127040 32016384 32829300 33177600 33202176 33350400 34585600 34836480 35017920 35573760 37352448 37519200 38707200 38908800 39526400 40020480 41502720 42021504 42688512 43545600 43772400 44467200 46448640 46690560 47431680 48024576 49766400 49803264 50025600 51878400 52526880 53360640 55336960 56028672 58060800 58363200 59289600 60030720 62254080 64032768 65658600 66404352 66700800 69171200 69672960 70035840 71147520 74704896 75038400 77414400 77817600 79052800 80040960 83005440 84043008 85377024 87091200 87544800 88934400 93381120 96049152 99532800 99606528 100051200 103756800 105053760 106721280 110673920 112057344 116121600 116726400 118579200 120061440 124508160 128065536 131317200 133401600 138342400 139345920 140071680 142295040 149409792 150076800 155635200 160081920 166010880 168086016 174182400 175089600 177868800 186762240 192098304 199213056 200102400 207513600 210107520 213442560 224114688 232243200 233452800 237158400 240122880 249016320 256131072 262634400 266803200 276684800 280143360 298819584 300153600 311270400 320163840 332021760 336172032 348364800 350179200 355737600 373524480 384196608 400204800 415027200 420215040 426885120 448229376 466905600 480245760 498032640 525268800 533606400 553369600 560286720 597639168 600307200 622540800 640327680 672344064 696729600 700358400 711475200 747048960 768393216 800409600 830054400 840430080 896458752 933811200 960491520 996065280 1050537600 1067212800 1120573440 1200614400 1245081600 1280655360 1344688128 1400716800 1494097920 1600819200 1660108800 1680860160 1792917504 1867622400 1920983040 2101075200 2134425600 2241146880 2401228800 2490163200 2689376256 2801433600 2988195840 3201638400 3361720320 3735244800 3841966080 4202150400 4482293760 4802457600 4980326400 5378752512 5602867200 6403276800 6723440640 7470489600 8404300800 8964587520 9604915200 11205734400 13446881280 14940979200 16808601600 19209830400 22411468800 26893762560 33617203200 44822937600 67234406400 134468812800
• Sum of all divisors σ(n): 573840869056
• Sum of proper divisors (its aliquot sum) s(n): 439372056256
• 134468812800 is an abundant number, because the sum of its proper divisors (439372056256) is greater than itself. Its abundance is 304903243456

Bases of 134468812800

• Binary: 1111101001110111101110100000000000000₂
• Hexadecimal: 0x1F4EF74000
• Base-36: 1PRV9C00

Squares and roots of 134468812800

• 134468812800 squared (134468812800²) is 18081861615841443840000
• 134468812800 cubed (134468812800³) is 2431446464696088626202673152000000
• The square root of 134468812800 is 366699.8947368269
• The cube root of 134468812800 is 5123.1907195041

Scales and comparisons

• 134,468,812,800 seconds is equal to 4,275 years, 36 weeks.
• To count from 1 to 134,468,812,800 would take you about eight thousand, five hundred fifty-one 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 134468812800 cubic inches would be around 426.9 feet tall.

Recreational maths with 134468812800

• 134468812800 backwards is 008218864431
• 134468812800 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 134468812800's digits is 45
• More coming soon!