12748948006502400
12,748,948,006,502,400 is an even composite number composed of six prime numbers multiplied together.
12748948006502400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and twenty-four divisors.
Prime factorization of 12748948006502400:
220 × 3 × 52 × 72 × 11 × 673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 11 × 67 × 67 × 67)See below for interesting mathematical facts about the number 12748948006502400 from the Numbermatics database.
Names of 12748948006502400
- Cardinal: 12748948006502400 can be written as Twelve quadrillion, seven hundred forty-eight trillion, nine hundred forty-eight billion, six million, five hundred two thousand, four hundred.
Scientific notation
- Scientific notation: 1.27489480065024 × 1016
Factors of 12748948006502400
Divisors of 12748948006502400
- Number of divisors d(n): 3024
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 32 33 35 40 42 44 48 49 50 55 56 60 64 66 67 70 75 77 80 84 88 96 98 100 105 110 112 120 128 132 134 140 147 150 154 160 165 168 175 176 192 196 200 201 210 220 224 231 240 245 256 264 268 275 280 294 300 308 320 330 335 336 350 352 384 385 392 400 402 420 440 448 462 469 480 490 512 525 528 536 539 550 560 588 600 616 640 660 670 672 700 704 735 737 768 770 784 800 804 825 840 880 896 924 938 960 980 1005 1024 1050 1056 1072 1078 1100 1120 1155 1176 1200 1225 1232 1280 1320 1340 1344 1400 1407 1408 1470 1474 1536 1540 1568 1600 1608 1617 1650 1675 1680 1760 1792 1848 1876 1920 1925 1960 2010 2048 2100 2112 2144 2156 2200 2211 2240 2310 2345 2352 2400 2450 2464 2560 2640 2680 2688 2695 2800 2814 2816 2940 2948 3072 3080 3136 3200 3216 3234 3283 3300 3350 3360 3520 3584 3675 3685 3696 3752 3840 3850 3920 4020 4096 4200 4224 4288 4312 4400 4422 4480 4489 4620 4690 4704 4800 4900 4928 5025 5120 5159 5280 5360 5376 5390 5600 5628 5632 5775 5880 5896 6144 6160 6272 6400 6432 6468 6566 6600 6700 6720 7035 7040 7168 7350 7370 7392 7504 7680 7700 7840 8040 8085 8192 8400 8448 8576 8624 8800 8844 8960 8978 9240 9380 9408 9600 9800 9849 9856 10050 10240 10318 10560 10720 10752 10780 11055 11200 11256 11264 11550 11725 11760 11792 12288 12320 12544 12800 12864 12936 13132 13200 13400 13440 13467 13475 14070 14080 14336 14700 14740 14784 15008 15360 15400 15477 15680 16080 16170 16384 16415 16800 16896 17152 17248 17600 17688 17920 17956 18425 18480 18760 18816 19200 19600 19698 19712 20100 20480 20636 21120 21440 21504 21560 22110 22400 22445 22512 22528 23100 23450 23520 23584 24576 24640 25088 25600 25728 25795 25872 26264 26400 26800 26880 26934 26950 28140 28160 28672 29400 29480 29568 30016 30720 30800 30954 31360 31423 32160 32340 32768 32830 33600 33792 34304 34496 35175 35200 35376 35840 35912 36113 36850 36960 37520 37632 38400 39200 39396 39424 40200 40425 40960 41272 42240 42880 43008 43120 44220 44800 44890 45024 45056 46200 46900 47040 47168 49152 49245 49280 49379 50176 51200 51456 51590 51744 52528 52800 53600 53760 53868 53900 55275 56280 56320 57344 58800 58960 59136 60032 61440 61600 61908 62720 62846 64320 64680 65536 65660 67200 67335 67584 68608 68992 70350 70400 70752 71680 71824 72226 73700 73920 75040 75264 76800 77385 78400 78792 78848 80400 80850 81920 82075 82544 84480 85760 86016 86240 88440 89600 89780 90048 90112 92400 93800 94080 94269 94336 98304 98490 98560 98758 100352 102400 102912 103180 103488 105056 105600 107200 107520 107736 107800 108339 110550 112225 112560 112640 114688 117600 117920 118272 120064 122880 123200 123816 125440 125692 128640 128975 129360 131072 131320 134400 134670 135168 137216 137984 140700 140800 141504 143360 143648 144452 147400 147840 148137 150080 150528 153600 154770 156800 157115 157584 157696 160800 161700 163840 164150 165088 168960 171520 172032 172480 176880 179200 179560 180096 180224 180565 184800 187600 188160 188538 188672 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123560263680 123882035200 124501445376 127042291200 129092812800 129352151040 129444085760 129689005600 135144038400 135240089600 135511777280 135916290048 137975627776 141478915200 141579468800 142002094080 142287366144 144153640960 147831029760 148216006400 148658442240 150910842880 154450329600 155332902912 155626806720 157686431744 158569005056 161690188800 161805107200 162614132736 164747018240 166001927168 169389721600 169895362560 172469534720 172984369152 176514662400 177502617600 177859207680 180192051200 181093011456 181221720064 184788787200 185823052800 188638553600 189336125440 189716488192 194166128640 194533508400 197108039680 198211256320 202860134400 203267665920 205933772800 206963441664 207502408960 212369203200 215586918400 216230461440 216818843648 222324009600 226366264320 226527150080 230645825536 236529647616 236670156800 237145610240 237853507584 241457348608 242707660800 246385049600 247120527360 247764070400 249002890752 254084582400 258185625600 258704302080 258888171520 259378011200 270288076800 271023554560 271832580096 275951255552 282957830400 283158937600 284004188160 284574732288 288307281920 295662059520 296432012800 297316884480 301821685760 308900659200 311253613440 315372863488 317138010112 323380377600 323610214400 325228265472 332003854336 338779443200 339790725120 344939069440 345968738304 353029324800 355005235200 355718415360 360384102400 362186022912 362443440128 369577574400 371646105600 377277107200 379432976384 388332257280 389067016800 394216079360 396422512640 405720268800 406535331840 411867545600 413926883328 415004817920 424738406400 431173836800 432460922880 433637687296 444648019200 452732528640 453054300160 473059295232 473340313600 474291220480 475707015168 482914697216 485415321600 492770099200 494241054720 495528140800 498005781504 508169164800 517408604160 518756022400 540576153600 542047109120 543665160192 551902511104 565915660800 566317875200 568008376320 569149464576 576614563840 591324119040 592864025600 594633768960 603643371520 617801318400 622507226880 634276020224 646760755200 647220428800 650456530944 664007708672 677558886400 679581450240 689878138880 691937476608 710010470400 711436830720 720768204800 724372045824 739155148800 743292211200 754554214400 758865952768 776664514560 778134033600 788432158720 792845025280 813070663680 823735091200 827853766656 830009635840 849476812800 862347673600 864921845760 867275374592 889296038400 905465057280 906108600320 946118590464 946680627200 948582440960 951414030336 965829394432 970830643200 985540198400 991056281600 996011563008 1016338329600 1034817208320 1037512044800 1081152307200 1084094218240 1087330320384 1103805022208 1131831321600 1132635750400 1138298929152 1153229127680 1182648238080 1185728051200 1189267537920 1207286743040 1235602636800 1245014453760 1268552040448 1293521510400 1294440857600 1300913061888 1328015417344 1355117772800 1359162900480 1379756277760 1420020940800 1422873661440 1441536409600 1448744091648 1478310297600 1486584422400 1509108428800 1517731905536 1556268067200 1576864317440 1585690050560 1626141327360 1655707533312 1660019271680 1698953625600 1724695347200 1729843691520 1734550749184 1778592076800 1810930114560 1812217200640 1897164881920 1902828060672 1931658788864 1941661286400 1971080396800 1982112563200 1992023126016 2032676659200 2069634416640 2075024089600 2162304614400 2168188436480 2207610044416 2263662643200 2265271500800 2276597858304 2365296476160 2371456102400 2378535075840 2414573486080 2471205273600 2490028907520 2537104080896 2587043020800 2601826123776 2656030834688 2710235545600 2718325800960 2759512555520 2840041881600 2845747322880 2883072819200 2897488183296 2956620595200 2973168844800 3018216857600 3035463811072 3112536134400 3171380101120 3252282654720 3311415066624 3320038543360 3397907251200 3449390694400 3459687383040 3469101498368 3557184153600 3621860229120 3794329763840 3805656121344 3863317577728 3883322572800 3942160793600 3964225126400 3984046252032 4065353318400 4139268833280 4150048179200 4324609228800 4336376872960 4527325286400 4530543001600 4553195716608 4730592952320 4742912204800 4757070151680 4829146972160 4980057815040 5174086041600 5203652247552 5312061669376 5420471091200 5436651601920 5519025111040 5691494645760 5766145638400 5794976366592 5913241190400 5946337689600 6036433715200 6070927622144 6225072268800 6342760202240 6504565309440 6622830133248 6640077086720 6795814502400 6898781388800 7114368307200 7243720458240 7588659527680 7611312242688 7726635155456 7884321587200 7928450252800 7968092504064 8130706636800 8278537666560 8300096358400 8649218457600 8672753745920 9054650572800 9061086003200 9106391433216 9485824409600 9514140303360 9658293944320 9960115630080 10348172083200 10407304495104 10624123338752 10840942182400 11038050222080 11382989291520 11589952733184 11826482380800 11892675379200 12072867430400 12141855244288 12450144537600 12685520404480 13009130618880 13280154173440 13591629004800 13797562777600 14228736614400 14487440916480 15177319055360 15453270310912 15856900505600 15936185008128 16261413273600 16557075333120 16600192716800 17298436915200 17345507491840 18109301145600 18212782866432 18971648819200 19028280606720 19316587888640 19920231260160 20696344166400 21248246677504 21681884364800 22765978583040 23179905466368 23652964761600 23785350758400 24145734860800 24283710488576 24900289075200 26018261237760 26560308346880 27183258009600 27595125555200 28457473228800 28974881832960 30354638110720 31713801011200 31872370016256 32522826547200 33114150666240 33200385433600 36218602291200 36425565732864 37943297638400 38056561213440 38633175777280 39840462520320 41392688332800 42496493355008 43363768729600 45531957166080 46359810932736 47570701516800 48291469721600 49800578150400 52036522475520 53120616693760 55190251110400 56914946457600 57949763665920 60709276221440 63427602022400 63744740032512 65045653094400 66400770867200 72437204582400 72851131465728 75886595276800 77266351554560 79680925040640 82785376665600 84992986710016 86727537459200 91063914332160 95141403033600 96582939443200 99601156300800 106241233387520 113829892915200 115899527331840 121418552442880 127489480065024 130091306188800 132801541734400 144874409164800 151773190553600 159361850081280 165570753331200 169985973420032 182127828664320 190282806067200 193165878886400 199202312601600 212482466775040 227659785830400 231799054663680 254978960130048 260182612377600 265603083468800 289748818329600 303546381107200 318723700162560 364255657328640 386331757772800 398404625203200 424964933550080 455319571660800 509957920260096 531206166937600 579497636659200 607092762214400 637447400325120 796809250406400 849929867100160 910639143321600 1062412333875200 1158995273318400 1274894800650240 1593618500812800 1821278286643200 2124824667750400 2549789601300480 3187237001625600 4249649335500800 6374474003251200 12748948006502400
- Sum of all divisors σ(n): 54307866587829120
- Sum of proper divisors (its aliquot sum) s(n): 41558918581326720
- 12748948006502400 is an abundant number, because the sum of its proper divisors (41558918581326720) is greater than itself. Its abundance is 28809970574824320
Bases of 12748948006502400
- Binary: 1011010100101100011001110001010011000000000000000000002
- Hexadecimal: 0x2D4B19C5300000
- Base-36: 3HJ4HUYZL6O
Squares and roots of 12748948006502400
- 12748948006502400 squared (127489480065024002) is 162535675272501518992681205760000
- 12748948006502400 cubed (127489480065024003) is 2072158873250879670450618949909550752333824000000
-
The
square root of 12748948006502400 is 112911239.5047649807 -
The
cube root of 12748948006502400 is 233610.0110653029
Scales and comparisons
How big is 12748948006502400?- 12,748,948,006,502,400 seconds is equal to 405,377,111 years, 27 weeks, 18 hours, 40 minutes.
-
To count from 1 to 12,748,948,006,502,400 would take you about one billion, two hundred sixteen million, one hundred thirty-one thousand, three hundred thirty-four 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 12748948006502400 cubic inches would be around 19467.5 feet tall.
Recreational maths with 12748948006502400
- 12748948006502400 backwards is 00420560084984721
- 12748948006502400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12748948006502400's digits is 60
- More coming soon!
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Cite this page
MLA style:
"Number 12748948006502400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 12748948006502400 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/12748948006502400/
Chicago style:
Numbermatics. 2024. "Number 12748948006502400 - Facts about the integer". https://numbermatics.com/n/12748948006502400/
The information we have on file for 12748948006502400 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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